Abstract

A unidirectional phase modulator consisting of tandem phase modulators is studied in detail for use as an integral part of an integrated optical isolator. The effects of non-linearity and residual amplitude modulation in the modulators, as well as the effect of the RF driving signals are captured in a phenomenological model for the first time. The model has been verified experimentally using a device realized in a generic InP based photonic integration platform and is used to study the operating range of the device. Design parameters of the modulator are derived such that modulation side bands in the forward propagating light are less than 40 dB, while isolation is maximized.

© 2018 Optical Society of America under the terms of the OSA Open Access Publishing Agreement

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2018 (3)

W. Yao, M. K. Smit, and M. J. Wale, “Monolithic 300 Gb/s Parallel Transmitter in InP-Based Generic Photonic Integration Technology,” IEEE J. Sel. Top. Quantum Electron. 24, 1–11 (2018).
[Crossref]

T. T. M. v. Schaijk, D. Lenstra, E. A. J. M. Bente, and K. A. Williams, “Theoretical Analysis of a Feedback Insensitive Semiconductor Ring Laser Using Weak Intracavity Isolation,” IEEE J. Sel. Top. Quantum Electron. 24, 1098 (2018).
[Crossref]

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

2016 (2)

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
[Crossref]

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
[Crossref]

2015 (1)

2014 (1)

B. J. H. Stadler and T. Mizumoto, “Integrated Magneto-Optical Materials and Isolators: A Review,” IEEE Photonics J. 6, 1–15 (2014).
[Crossref]

2013 (1)

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
[Crossref]

2011 (2)

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

C. R. Doerr, N. Dupuis, and L. Zhang, “Optical isolator using two tandem phase modulators,” Opt. Lett. 36, 4293–4295 (2011).
[Crossref] [PubMed]

2005 (2)

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
[Crossref]

2004 (1)

1991 (1)

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external optical feedback,” IEEE Photonics Technol. Lett. 3, 597–599 (1991).
[Crossref]

1986 (1)

R. Tkach and A. Chraplyvy, “Regimes of feedback effects in 1.5-μm distributed feedback lasers,” J. Light. Technol. 4, 1655–1661 (1986).
[Crossref]

1985 (1)

E. A. Whittaker, M. Gehrtz, and G. C. Bjorklund, “Residual amplitude modulation in laser electro-optic phase modulation,” JOSA B 2, 1320–1326 (1985).
[Crossref]

1984 (1)

P. Spano, S. Piazzolla, and M. Tamburrini, “Theory of noise in semiconductor lasers in the presence of optical feedback,” IEEE J. Quantum Electron. 20, 350–357 (1984).
[Crossref]

1980 (1)

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347–355 (1980).
[Crossref]

1977 (1)

C. Risch and C. Voumard, “Self-pulsation in the output intensity and spectrum of GaAs-AlGaAs cw diode lasers coupled to a frequency-selective external optical cavity,” J. Appl. Phys. 48, 2083–2085 (1977).
[Crossref]

Agashe, S. S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Ambrosius, H.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Andreou, S.

S. Andreou, K. A. Williams, and E. Bente, “Residual amplitude modulation in InP-based integrated phase modulators and its effect in Pound-Drever-Hall frequency stabilization,” in “Advanced Photonics 2017 (IPR, NOMA, Sensors, Networks, SPPCom, PS) (2017), paper IM3A.7,” (Optical Society of America, 2017).

Augustin, L. M.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Bahlmann, N.

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
[Crossref]

Bakker, A.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Bauters, J. F.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
[Crossref]

Bente, E.

S. Andreou, K. A. Williams, and E. Bente, “Residual amplitude modulation in InP-based integrated phase modulators and its effect in Pound-Drever-Hall frequency stabilization,” in “Advanced Photonics 2017 (IPR, NOMA, Sensors, Networks, SPPCom, PS) (2017), paper IM3A.7,” (Optical Society of America, 2017).

Bente, E. A. J. M.

T. T. M. v. Schaijk, D. Lenstra, E. A. J. M. Bente, and K. A. Williams, “Theoretical Analysis of a Feedback Insensitive Semiconductor Ring Laser Using Weak Intracavity Isolation,” IEEE J. Sel. Top. Quantum Electron. 24, 1098 (2018).
[Crossref]

Bhandare, S.

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

Bjorklund, G. C.

E. A. Whittaker, M. Gehrtz, and G. C. Bjorklund, “Residual amplitude modulation in laser electro-optic phase modulation,” JOSA B 2, 1320–1326 (1985).
[Crossref]

Bolk, J.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Bostak, J. S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Bowers, J. E.

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
[Crossref]

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
[Crossref]

Butrie, T.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Chraplyvy, A.

R. Tkach and A. Chraplyvy, “Regimes of feedback effects in 1.5-μm distributed feedback lasers,” J. Light. Technol. 4, 1655–1661 (1986).
[Crossref]

Christini, D.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Chung, Y. C.

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external optical feedback,” IEEE Photonics Technol. Lett. 3, 597–599 (1991).
[Crossref]

Corzine, S. W.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Davenport, M. L.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
[Crossref]

DeMars, S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Dentai, A.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Doerr, C. R.

Dominic, V.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Gerhardt, R.

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Goldfarb, G.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Grubb, S. G.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Gruner, M.

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Haan, E. d.

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Hamacher, M.

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
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Hammer, M.

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
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Heck, M. J. R.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
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Hertel, P.

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
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Huang, D.

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
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Ibrahim, S. K.

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
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Izuhara, T.

Jain, S.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
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Joyner, C.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Kaiser, R.

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
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Kato, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Kaufman, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Kish, F. A.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Kleijn, S.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
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Kobayashi, K.

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347–355 (1980).
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Korthorst, T.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
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Kuntz, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Kurczveil, G.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
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Lal, V.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Lambert, D. J. H.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Lang, R.

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347–355 (1980).
[Crossref]

Lange, S.

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
[Crossref]

Latkowski, S.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
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Lee, Y. H.

Y. C. Chung and Y. H. Lee, “Spectral characteristics of vertical-cavity surface-emitting lasers with external optical feedback,” IEEE Photonics Technol. Lett. 3, 597–599 (1991).
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Leeuwen, M. V.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Lenstra, D.

T. T. M. v. Schaijk, D. Lenstra, E. A. J. M. Bente, and K. A. Williams, “Theoretical Analysis of a Feedback Insensitive Semiconductor Ring Laser Using Weak Intracavity Isolation,” IEEE J. Sel. Top. Quantum Electron. 24, 1098 (2018).
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Malendevich, R.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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McNicol, J.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Melle, S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Meuer, C.

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
[Crossref]

Mingaleev, S.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Missey, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Mitchell, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Mizumoto, T.

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
[Crossref]

B. J. H. Stadler and T. Mizumoto, “Integrated Magneto-Optical Materials and Isolators: A Review,” IEEE Photonics J. 6, 1–15 (2014).
[Crossref]

Murthy, S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Muthiah, R. C.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Nagarajan, R.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Nilsson, A.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Noe, R.

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

Osgood, R. M.

Pavinski, D. J.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Piazzolla, S.

P. Spano, S. Piazzolla, and M. Tamburrini, “Theory of noise in semiconductor lasers in the presence of optical feedback,” IEEE J. Quantum Electron. 20, 350–357 (1984).
[Crossref]

Pintus, P.

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
[Crossref]

Pleumeekers, J. L.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Popkov, A. F.

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
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Raburn, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Rahn, J. T.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Reffle, M. S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Richter, A.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
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Risch, C.

C. Risch and C. Voumard, “Self-pulsation in the output intensity and spectrum of GaAs-AlGaAs cw diode lasers coupled to a frequency-selective external optical cavity,” J. Appl. Phys. 48, 2083–2085 (1977).
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Salvatore, R. A.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
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Samra, P.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Sandel, D.

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

Santos, R.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Schaijk, T. T. M. v.

T. T. M. v. Schaijk, D. Lenstra, E. A. J. M. Bente, and K. A. Williams, “Theoretical Analysis of a Feedback Insensitive Semiconductor Ring Laser Using Weak Intracavity Isolation,” IEEE J. Sel. Top. Quantum Electron. 24, 1098 (2018).
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Schell, M.

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
[Crossref]

Schneider, R. P.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Shoji, Y.

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
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Smit, M. K.

W. Yao, M. K. Smit, and M. J. Wale, “Monolithic 300 Gb/s Parallel Transmitter in InP-Based Generic Photonic Integration Technology,” IEEE J. Sel. Top. Quantum Electron. 24, 1–11 (2018).
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Spannagel, A.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Spano, P.

P. Spano, S. Piazzolla, and M. Tamburrini, “Theory of noise in semiconductor lasers in the presence of optical feedback,” IEEE J. Quantum Electron. 20, 350–357 (1984).
[Crossref]

Srinivasan, S.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
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Stadler, B. J. H.

B. J. H. Stadler and T. Mizumoto, “Integrated Magneto-Optical Materials and Isolators: A Review,” IEEE Photonics J. 6, 1–15 (2014).
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Stewart, J. W.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Strzelecka, E.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Studenkov, P.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Sun, H.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Tamburrini, M.

P. Spano, S. Piazzolla, and M. Tamburrini, “Theory of noise in semiconductor lasers in the presence of optical feedback,” IEEE J. Quantum Electron. 20, 350–357 (1984).
[Crossref]

Tang, J.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Tang, Y.

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
[Crossref]

Taylor, B. D.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Thijs, P. J. A.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Thomson, K. J.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Tkach, R.

R. Tkach and A. Chraplyvy, “Regimes of feedback effects in 1.5-μm distributed feedback lasers,” J. Light. Technol. 4, 1655–1661 (1986).
[Crossref]

Tsai, H. S.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Tsai, M.-C.

Velthaus, K. O.

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
[Crossref]

Voumard, C.

C. Risch and C. Voumard, “Self-pulsation in the output intensity and spectrum of GaAs-AlGaAs cw diode lasers coupled to a frequency-selective external optical cavity,” J. Appl. Phys. 48, 2083–2085 (1977).
[Crossref]

Wale, M. J.

W. Yao, M. K. Smit, and M. J. Wale, “Monolithic 300 Gb/s Parallel Transmitter in InP-Based Generic Photonic Integration Technology,” IEEE J. Sel. Top. Quantum Electron. 24, 1–11 (2018).
[Crossref]

Watson, G. N.

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1966), 2nd ed.

Welch, D.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Whittaker, E. A.

E. A. Whittaker, M. Gehrtz, and G. C. Bjorklund, “Residual amplitude modulation in laser electro-optic phase modulation,” JOSA B 2, 1320–1326 (1985).
[Crossref]

Wilkens, L.

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
[Crossref]

Williams, K. A.

T. T. M. v. Schaijk, D. Lenstra, E. A. J. M. Bente, and K. A. Williams, “Theoretical Analysis of a Feedback Insensitive Semiconductor Ring Laser Using Weak Intracavity Isolation,” IEEE J. Sel. Top. Quantum Electron. 24, 1098 (2018).
[Crossref]

S. Andreou, K. A. Williams, and E. Bente, “Residual amplitude modulation in InP-based integrated phase modulators and its effect in Pound-Drever-Hall frequency stabilization,” in “Advanced Photonics 2017 (IPR, NOMA, Sensors, Networks, SPPCom, PS) (2017), paper IM3A.7,” (Optical Society of America, 2017).

Williams, W.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Wu, K. T.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Wust, F.

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

Yao, W.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

W. Yao, M. K. Smit, and M. J. Wale, “Monolithic 300 Gb/s Parallel Transmitter in InP-Based Generic Photonic Integration Technology,” IEEE J. Sel. Top. Quantum Electron. 24, 1–11 (2018).
[Crossref]

Zhang, C.

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
[Crossref]

Zhang, H.

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

Zhang, J.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

Zhang, L.

Zhao, D.

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

Zhuromskyy, O.

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
[Crossref]

Ziari, M.

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

IEEE J. Quantum Electron. (2)

R. Lang and K. Kobayashi, “External optical feedback effects on semiconductor injection laser properties,” IEEE J. Quantum Electron. 16, 347–355 (1980).
[Crossref]

P. Spano, S. Piazzolla, and M. Tamburrini, “Theory of noise in semiconductor lasers in the presence of optical feedback,” IEEE J. Quantum Electron. 20, 350–357 (1984).
[Crossref]

IEEE J. Sel. Top. Quantum Electron. (7)

W. Yao, M. K. Smit, and M. J. Wale, “Monolithic 300 Gb/s Parallel Transmitter in InP-Based Generic Photonic Integration Technology,” IEEE J. Sel. Top. Quantum Electron. 24, 1–11 (2018).
[Crossref]

M. J. R. Heck, J. F. Bauters, M. L. Davenport, J. K. Doylend, S. Jain, G. Kurczveil, S. Srinivasan, Y. Tang, and J. E. Bowers, “Hybrid Silicon Photonic Integrated Circuit Technology,” IEEE J. Sel. Top. Quantum Electron. 19, 6100117 (2013).
[Crossref]

F. A. Kish, D. Welch, R. Nagarajan, J. L. Pleumeekers, V. Lal, M. Ziari, A. Nilsson, M. Kato, S. Murthy, P. Evans, S. W. Corzine, M. Mitchell, P. Samra, M. Missey, S. DeMars, R. P. Schneider, M. S. Reffle, T. Butrie, J. T. Rahn, M. V. Leeuwen, J. W. Stewart, D. J. H. Lambert, R. C. Muthiah, H. S. Tsai, J. S. Bostak, A. Dentai, K. T. Wu, H. Sun, D. J. Pavinski, J. Zhang, J. Tang, J. McNicol, M. Kuntz, V. Dominic, B. D. Taylor, R. A. Salvatore, M. Fisher, A. Spannagel, E. Strzelecka, P. Studenkov, M. Raburn, W. Williams, D. Christini, K. J. Thomson, S. S. Agashe, R. Malendevich, G. Goldfarb, S. Melle, C. Joyner, M. Kaufman, and S. G. Grubb, “Current Status of Large-Scale InP Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 17, 1470–1489 (2011).
[Crossref]

S. Bhandare, S. K. Ibrahim, D. Sandel, H. Zhang, F. Wust, and R. Noe, “Novel nonmagnetic 30-dB traveling-wave single-sideband optical isolator integrated in III/V material,” IEEE J. Sel. Top. Quantum Electron. 11, 417–421 (2005).
[Crossref]

D. Huang, P. Pintus, C. Zhang, Y. Shoji, T. Mizumoto, and J. E. Bowers, “Electrically Driven and Thermally Tunable Integrated Optical Isolators for Silicon Photonics,” IEEE J. Sel. Top. Quantum Electron. 22, 271–278 (2016).
[Crossref]

T. T. M. v. Schaijk, D. Lenstra, E. A. J. M. Bente, and K. A. Williams, “Theoretical Analysis of a Feedback Insensitive Semiconductor Ring Laser Using Weak Intracavity Isolation,” IEEE J. Sel. Top. Quantum Electron. 24, 1098 (2018).
[Crossref]

L. M. Augustin, R. Santos, E. d. Haan, S. Kleijn, P. J. A. Thijs, S. Latkowski, D. Zhao, W. Yao, J. Bolk, H. Ambrosius, S. Mingaleev, A. Richter, A. Bakker, and T. Korthorst, “InP-Based Generic Foundry Platform for Photonic Integrated Circuits,” IEEE J. Sel. Top. Quantum Electron. 24, 1–10 (2018).
[Crossref]

IEEE Photonics J. (1)

B. J. H. Stadler and T. Mizumoto, “Integrated Magneto-Optical Materials and Isolators: A Review,” IEEE Photonics J. 6, 1–15 (2014).
[Crossref]

IEEE Photonics Technol. Lett. (1)

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[Crossref]

J. Appl. Phys. (1)

C. Risch and C. Voumard, “Self-pulsation in the output intensity and spectrum of GaAs-AlGaAs cw diode lasers coupled to a frequency-selective external optical cavity,” J. Appl. Phys. 48, 2083–2085 (1977).
[Crossref]

J. Light. Technol. (2)

S. Lange, M. Gruner, C. Meuer, R. Kaiser, M. Hamacher, K. O. Velthaus, and M. Schell, “Low Switching Voltage Mach–Zehnder Modulator Monolithically Integrated With DFB Laser for Data Transmission up to 107.4 Gb/s,” J. Light. Technol. 34, 401–406 (2016).
[Crossref]

R. Tkach and A. Chraplyvy, “Regimes of feedback effects in 1.5-μm distributed feedback lasers,” J. Light. Technol. 4, 1655–1661 (1986).
[Crossref]

JOSA B (2)

H. Dötsch, N. Bahlmann, O. Zhuromskyy, M. Hammer, L. Wilkens, R. Gerhardt, P. Hertel, and A. F. Popkov, “Applications of magneto-optical waveguides in integrated optics: review,” JOSA B 22, 240–253 (2005).
[Crossref]

E. A. Whittaker, M. Gehrtz, and G. C. Bjorklund, “Residual amplitude modulation in laser electro-optic phase modulation,” JOSA B 2, 1320–1326 (1985).
[Crossref]

Opt. Express (1)

Opt. Lett. (2)

Other (3)

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[Crossref]

S. Andreou, K. A. Williams, and E. Bente, “Residual amplitude modulation in InP-based integrated phase modulators and its effect in Pound-Drever-Hall frequency stabilization,” in “Advanced Photonics 2017 (IPR, NOMA, Sensors, Networks, SPPCom, PS) (2017), paper IM3A.7,” (Optical Society of America, 2017).

G. N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, 1966), 2nd ed.

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Figures (10)

Fig. 1
Fig. 1 Schematic representation of a UPM consisting of two tandem ERMs combined with a spectral filter ( oe----i001). Both modulators are driven by a single frequency RF signal with potentially different amplitude and with phase difference ϕ. The distance between the centers of the modulators is D.
Fig. 2
Fig. 2 Layout of the UPM that was fabricated by SMART Photonics [18]. ERMs are indicated in red, contact pads in yellow, electrical isolation sections in black and deeply etched waveguides in blue.
Fig. 3
Fig. 3 Photograph of the fabricated UPM (left) connected to a PCB using bond wires (right). Light is coupled to and from the PIC using lensed fibers as shown. The PIC contains multiple additional structures that are not discussed in this paper.
Fig. 4
Fig. 4 Measured spectra for various RF imbalances and RF phase differences. Subfigure (a) presents a single measured spectrum, where the relative frequency, F, is the optical frequency relative to the frequency of the incoming light wave. Subfigures (b)–(d) show the power in the central five peaks in these spectra as a function of effective phase difference ψ± for three values of modulation imbalance Φ̂1. The colors used for the data in subfigures (b)–(d) correspond to colors of the peaks in subfigure (a). The solid lines represent the result of the model fitted to all data simultaneously (parameters as in Table 2) for various modulation imbalances (ΦL1R1) as specified in the captions. Note that the fitted curve falls inside most of the indicated error intervals, indicating that our model includes all relevant parameters.
Fig. 5
Fig. 5 Total power in the generated side bands at F = ω (for P1) and F = 2ω (for P2) from the carrier in the transmission spectrum of the UPM as a function of the effective phase difference ψ+. The influence of the non-linear phase response and the RAM in the ERMs on the power in the first order side bands is minimal as can be seen by the almost overlapping curves. The power in the second order side bands (P2) is heavily influenced by the RAM and non-linear phase response. As a result their intensity does not depend strongly on the RF phase detuning.
Fig. 6
Fig. 6 The total phase modulation amplitude, Φ̄ that is required to obtain maximum suppression of the central wavelength (optimum isolation) in the backward direction as a function of effective RF phase difference in the backward direction, ψ. The ideal value is reached for ψ = 0. It can be seen that deviations as large as π/2 from this ideal value do not impact the modulation depth requirements greatly, but larger deviations from the optimum value should be avoided.
Fig. 7
Fig. 7 The effective phase modulation amplitude of the UPM relative to the sum of the modulation amplitudes of the two ERMs, Φ 1 ± / Φ ¯, for a number of values of effective phase differences ψ± and as a function of the imbalance in the effective modulation depth of the refractive index, Φ̂1. As shown, no modulation on the forward propagating wave requires equal modulation amplitude and an effective phase difference of π/2 (Φ̂1 = 0 and ψ+ = π respectively). In the backward direction, ideally ψ = 0. Any deviations from this value can be compensated by increasing the modulation amplitude of the two ERMs, Φ̄.
Fig. 8
Fig. 8 Optical power in the second order side band (P2) of the transmission of the UPM induced by the phase non-linearity Φ̃ and the RAM Ã. It is assumed both modulators behave identically. When neglecting RAM, the modulation amplitude can be simplified as in Eqn. (18).
Fig. 9
Fig. 9 Maximum achievable isolation as function of phase non-linearity Φ̃ and RAM Ã without and with second order RAM. The cross indicates the operating point for the ERMs used in the experiment. Both the phase non-linearity and RAM reduce the maximum achievable attenuation that can be achieved for the backward propagating light. As such, both limit the maximum isolation that can be achieved. For isolation above 37 dB the non-linear RAM limits performance.
Fig. 10
Fig. 10 Maximum allowed amplitude Φ̄max of an additional electrical signal at frequency ω in units of the design frequency ωD. All frequency components in the RF driving signals modulate the light in both the ERMs. Because of the nature of the UPM, certain frequencies completely cancel out, while others do not. Therefore, the tolerable amount of harmonics and spurious signals is frequency dependent and is shown here for a desired SMSR of 40 dB.

Tables (2)

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Table 1 Overview of the model parameters.

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Table 2 Parameter values resulting from fitting our model to the measured data.

Equations (19)

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T p ± ( t ) = A ( V ) exp ( i Φ ( V ) ) = ( A p 0 + A p 1 sin ( ω t + ψ p ± ) + A p 2 sin 2 ( ω t + ψ p ± ) ) exp ( i ( Φ p 0 + Φ p 1 sin ( ω t + ψ p ± ) + Φ p 2 sin 2 ( ω t + ψ p ± ) ) ) ,
T ± ( t ) = T L ± ( t ) T R ± ( t ) = ( A 0 + A 1 ± sin ( ω t + Ψ 1 ± ) + A 2 ± sin ( 2 ω t + Ψ 2 ± ) ) exp ( i ( Φ 0 + Φ 1 ± sin ( ω t + Ψ 1 ± ) + Φ 2 ± sin ( 2 ω t + Ψ 2 ± ) ) )
Φ 0 Φ L 0 + Φ R 0 + 1 2 Φ L 2 + 1 2 Φ R 2
Φ 1 ± Φ L 1 2 + Φ R 1 2 + 2 Φ L 1 Φ R 1 cos ψ ±
Φ 2 ± 1 2 Φ L 2 2 + Φ R 2 2 + 2 Φ L 2 Φ R 2 cos 2 ψ ±
A 0 ( A L 0 + 1 2 A L 2 ) ( A R 0 + 1 2 A R 2 )
A 1 ± A L 1 2 + A R 1 2 + 2 A L 1 A R 1 cos ψ ±
A 2 ± 1 2 A L 2 2 + A R 2 2 + 2 A L 2 A R 2 cos 2 ψ ±
tan Ψ m ± ( 1 Φ ^ m ) sin m ψ ± ( 1 + Φ ^ m ) + ( 1 Φ ^ m ) cos m ψ ±
T ± ( t ) = n = exp ( i n ω t ) ( m = k = 2 2 J n 2 m k ( Φ 1 ± ) J m ( Φ 2 ± ) A k × exp ( i ( ( n 2 m k ) Ψ 1 ± + m Ψ 2 ± ) ) ) .
P n ± = | m = k = 2 2 J n 2 m k ( Φ 1 ± ) J m ( Φ 2 ± ) A k × exp ( i ( ( n 2 m k ) Ψ 1 ± + m Ψ 2 ± ) ) | 2 .
P n , simple ± = | J n ( Φ 1 ± ) | 2 .
P n ± | J n ( Φ ¯ 2 2 2 + cos ( ψ ± ) ) | 2 .
Φ ¯ Φ L 1 + Φ R 1
Φ ˜ Φ L 2 / Φ L 1 = Φ R 2 / Φ R 1
A ˜ A L 1 / Φ L 1 = A R 1 / Φ R 1
A ^ A L 2 / Φ L 2 = A R 2 / Φ R 2 .
Φ 1 , ideal ± = Φ ¯ 1 2 + 1 2 cos ψ ±
Φ 1 ± = Φ ¯ 1 + Φ ^ 1 2 2 + 1 Φ ^ 1 2 2 cos ψ ±

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