Abstract

We propose a passively mode-locked fiber optical parametric oscillator assisted with optical time-stretch. Thanks to the lately developed optical time-stretch technique, the onset oscillating spectral components can be temporally dispersed across the pump envelope and further compete for the parametric gain with the other parts of onset oscillating sidebands within the pump envelope. By matching the amount of dispersion in optical time-stretch with the pulse width of the quasi-CW pump and oscillating one of the parametric sidebands inside the fiber cavity, we numerically show that the fiber parametric oscillator can be operated in a single pulse regime. By varying the amount of the intracavity dispersion, we further verify that the origin of this single pulse mode-locking regime is due to the optical pulse stretching and compression.

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

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References

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    [Crossref]
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    [Crossref]
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    [Crossref] [PubMed]

2017 (2)

T. Gottschall, J. Limpert, and A. Tünnermann, “Ultra-short pulse fiber optical parametric oscillator,” Opt. Lett. 42(17), 3423–3426 (2017).
[Crossref] [PubMed]

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

2016 (1)

2013 (2)

E. S. Lamb, S. Lefrancois, M. Ji, W. J. Wadsworth, X. S. Xie, and F. W. Wise, “Fiber optical parametric oscillator for coherent anti-Stokes Raman scattering microscopy,” Opt. Lett. 38(20), 4154–4157 (2013).
[Crossref] [PubMed]

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

2012 (1)

D. R. Solli, G. Herink, B. Jalali, and C. Ropers, “Fluctuations and correlations in modulation instability,” Nat. Photonics 6(7), 463–468 (2012).
[Crossref]

2011 (3)

2010 (3)

2009 (3)

S. Yang, Y. Zhou, J. Li, and K. K. Y. Wong, “Actively Mode-Locked Fiber Optical Parametric Oscillator,” IEEE J. Sel. Top. Quantum Electron. 15(2), 393–398 (2009).
[Crossref]

Y. Q. Xu, S. G. Murdoch, R. Leonhardt, and J. D. Harvey, “Raman-assisted continuous-wave tunable all-fiber optical parametric oscillator,” J. Opt. Soc. Am. B 26(7), 1351–1356 (2009).
[Crossref]

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, “Theory of amplified dispersive Fourier transformation,” Phys. Rev. A 80(4), 043821 (2009).
[Crossref]

2007 (2)

T. Torounidis and P. Andrekson, “Broadband Single-Pumped Fiber-Optic Parametric Amplifiers,” IEEE Photonics Technol. Lett. 19(9), 650–652 (2007).
[Crossref]

B. Ortaç, M. Plötner, J. Limpert, and A. Tünnermann, “Self-starting passively mode-locked chirped-pulse fiber laser,” Opt. Express 15(25), 16794–16799 (2007).
[Crossref] [PubMed]

2005 (1)

2004 (1)

2001 (1)

J. F. Philipps, T. Töpfer, H. Ebendorff-Heidepriem, D. Ehrt, and R. Sauerbrey, “Spectroscopic and lasing properties of Er3+:Yb3+-doped fluoride phosphate glasses,” Appl. Phys. B 72(4), 399–405 (2001).
[Crossref]

1996 (1)

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

1994 (1)

B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30(8), 1951–1963 (1994).
[Crossref]

1992 (1)

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, “Analytic theory of additive pulse and Kerr lens mode locking,” IEEE J. Quantum Electron. 28(10), 2086–2096 (1992).
[Crossref]

1991 (1)

1987 (1)

M. Pessot, P. Maine, and G. Mourou, “1000 times expansion/compression of optical pulses for chirped pulse amplification,” Opt. Commun. 62(6), 419–421 (1987).
[Crossref]

Agrawal, G. P.

Alem, M.

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

Alic, N.

Amin Shoaie, M.

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

Andrekson, P.

T. Torounidis and P. Andrekson, “Broadband Single-Pumped Fiber-Optic Parametric Amplifiers,” IEEE Photonics Technol. Lett. 19(9), 650–652 (2007).
[Crossref]

Andrekson, P. A.

Aparicio, J. M.

Au, J. A.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Balch, K.

Braun, B.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Brès, C.-S.

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

Cappellini, G.

Chan, A. C. S.

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Chavez Boggio, J. M.

Chen, S.

Chen, Z.

Cheung, K. K. Y.

Cheung Shum, H.

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Chung, B. M. F.

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Deng, Y.

Ebendorff-Heidepriem, H.

J. F. Philipps, T. Töpfer, H. Ebendorff-Heidepriem, D. Ehrt, and R. Sauerbrey, “Spectroscopic and lasing properties of Er3+:Yb3+-doped fluoride phosphate glasses,” Appl. Phys. B 72(4), 399–405 (2001).
[Crossref]

Ehrt, D.

J. F. Philipps, T. Töpfer, H. Ebendorff-Heidepriem, D. Ehrt, and R. Sauerbrey, “Spectroscopic and lasing properties of Er3+:Yb3+-doped fluoride phosphate glasses,” Appl. Phys. B 72(4), 399–405 (2001).
[Crossref]

Fluck, R.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Fujimoto, J. G.

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, “Analytic theory of additive pulse and Kerr lens mode locking,” IEEE J. Quantum Electron. 28(10), 2086–2096 (1992).
[Crossref]

Gholami, F.

Goda, K.

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, “Theory of amplified dispersive Fourier transformation,” Phys. Rev. A 80(4), 043821 (2009).
[Crossref]

Gottschall, T.

Gu, C.

Harvey, J. D.

Haus, H. A.

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, “Analytic theory of additive pulse and Kerr lens mode locking,” IEEE J. Quantum Electron. 28(10), 2086–2096 (1992).
[Crossref]

Hedekvist, P. O.

Herink, G.

D. R. Solli, G. Herink, B. Jalali, and C. Ropers, “Fluctuations and correlations in modulation instability,” Nat. Photonics 6(7), 463–468 (2012).
[Crossref]

Hong-Wei, C.

S. Rui, C. Hong-Wei, C. Sheng-Ping, H. Jing, and L. Qi-Sheng, “A SESAM passively mode-locked fiber laser with a long cavity including a band pass filter,” J. Opt. 13(3), 035201 (2011).
[Crossref]

Honninger, C.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Ippen, E. P.

H. A. Haus, J. G. Fujimoto, and E. P. Ippen, “Analytic theory of additive pulse and Kerr lens mode locking,” IEEE J. Quantum Electron. 28(10), 2086–2096 (1992).
[Crossref]

Jalali, B.

D. R. Solli, G. Herink, B. Jalali, and C. Ropers, “Fluctuations and correlations in modulation instability,” Nat. Photonics 6(7), 463–468 (2012).
[Crossref]

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, “Theory of amplified dispersive Fourier transformation,” Phys. Rev. A 80(4), 043821 (2009).
[Crossref]

Ji, M.

Jing, H.

S. Rui, C. Hong-Wei, C. Sheng-Ping, H. Jing, and L. Qi-Sheng, “A SESAM passively mode-locked fiber laser with a long cavity including a band pass filter,” J. Opt. 13(3), 035201 (2011).
[Crossref]

Jung, I. D.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Karlsson, M.

Kartner, F. X.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Keller, U.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Knox, W. H.

Kolner, B. H.

B. H. Kolner, “Space-time duality and the theory of temporal imaging,” IEEE J. Quantum Electron. 30(8), 1951–1963 (1994).
[Crossref]

Kopf, D.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Kylemark, P.

Lam, E. Y.

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Lamb, E. S.

Lau, A. K. S.

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Lefrancois, S.

Leonhardt, R.

Li, J.

S. Yang, Y. Zhou, J. Li, and K. K. Y. Wong, “Actively Mode-Locked Fiber Optical Parametric Oscillator,” IEEE J. Sel. Top. Quantum Electron. 15(2), 393–398 (2009).
[Crossref]

Limpert, J.

Lin, Q.

Lu, F.

Luo, B.

Maine, P.

M. Pessot, P. Maine, and G. Mourou, “1000 times expansion/compression of optical pulses for chirped pulse amplification,” Opt. Commun. 62(6), 419–421 (1987).
[Crossref]

Mak, K. F.

Matuschek, N.

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

Moro, S.

Mourou, G.

M. Pessot, P. Maine, and G. Mourou, “1000 times expansion/compression of optical pulses for chirped pulse amplification,” Opt. Commun. 62(6), 419–421 (1987).
[Crossref]

Murdoch, S. G.

Ortaç, B.

Pan, W.

Pessot, M.

M. Pessot, P. Maine, and G. Mourou, “1000 times expansion/compression of optical pulses for chirped pulse amplification,” Opt. Commun. 62(6), 419–421 (1987).
[Crossref]

Philipps, J. F.

J. F. Philipps, T. Töpfer, H. Ebendorff-Heidepriem, D. Ehrt, and R. Sauerbrey, “Spectroscopic and lasing properties of Er3+:Yb3+-doped fluoride phosphate glasses,” Appl. Phys. B 72(4), 399–405 (2001).
[Crossref]

Plötner, M.

Qi-Sheng, L.

S. Rui, C. Hong-Wei, C. Sheng-Ping, H. Jing, and L. Qi-Sheng, “A SESAM passively mode-locked fiber laser with a long cavity including a band pass filter,” J. Opt. 13(3), 035201 (2011).
[Crossref]

Radic, S.

Ropers, C.

D. R. Solli, G. Herink, B. Jalali, and C. Ropers, “Fluctuations and correlations in modulation instability,” Nat. Photonics 6(7), 463–468 (2012).
[Crossref]

Rui, S.

S. Rui, C. Hong-Wei, C. Sheng-Ping, H. Jing, and L. Qi-Sheng, “A SESAM passively mode-locked fiber laser with a long cavity including a band pass filter,” J. Opt. 13(3), 035201 (2011).
[Crossref]

Sauerbrey, R.

J. F. Philipps, T. Töpfer, H. Ebendorff-Heidepriem, D. Ehrt, and R. Sauerbrey, “Spectroscopic and lasing properties of Er3+:Yb3+-doped fluoride phosphate glasses,” Appl. Phys. B 72(4), 399–405 (2001).
[Crossref]

Schneider, T.

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

Shao, L.

Sharping, J. E.

Sheng-Ping, C.

S. Rui, C. Hong-Wei, C. Sheng-Ping, H. Jing, and L. Qi-Sheng, “A SESAM passively mode-locked fiber laser with a long cavity including a band pass filter,” J. Opt. 13(3), 035201 (2011).
[Crossref]

Solli, D. R.

D. R. Solli, G. Herink, B. Jalali, and C. Ropers, “Fluctuations and correlations in modulation instability,” Nat. Photonics 6(7), 463–468 (2012).
[Crossref]

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, “Theory of amplified dispersive Fourier transformation,” Phys. Rev. A 80(4), 043821 (2009).
[Crossref]

Soto, M. A.

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

Sunnerud, H.

Tang, A. H. L.

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Thévenaz, L.

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
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S. Yang, K. K. Y. Cheung, Y. Zhou, and K. K. Y. Wong, “Tunable single-longitudinal-mode fiber optical parametric oscillator,” Opt. Lett. 35(4), 481–483 (2010).
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Zhao, J.

Zhou, Y.

S. Yang, K. K. Y. Cheung, Y. Zhou, and K. K. Y. Wong, “Tunable single-longitudinal-mode fiber optical parametric oscillator,” Opt. Lett. 35(4), 481–483 (2010).
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Appl. Phys. B (1)

J. F. Philipps, T. Töpfer, H. Ebendorff-Heidepriem, D. Ehrt, and R. Sauerbrey, “Spectroscopic and lasing properties of Er3+:Yb3+-doped fluoride phosphate glasses,” Appl. Phys. B 72(4), 399–405 (2001).
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IEEE J. Sel. Top. Quantum Electron. (2)

S. Yang, Y. Zhou, J. Li, and K. K. Y. Wong, “Actively Mode-Locked Fiber Optical Parametric Oscillator,” IEEE J. Sel. Top. Quantum Electron. 15(2), 393–398 (2009).
[Crossref]

U. Keller, K. J. Weingarten, F. X. Kartner, D. Kopf, B. Braun, I. D. Jung, R. Fluck, C. Honninger, N. Matuschek, and J. A. Au, “Semiconductor saturable absorber mirrors (SESAM’s) for femtosecond to nanosecond pulse generation in solid-state lasers,” IEEE J. Sel. Top. Quantum Electron. 2(3), 435–453 (1996).
[Crossref]

IEEE Photonics Technol. Lett. (1)

T. Torounidis and P. Andrekson, “Broadband Single-Pumped Fiber-Optic Parametric Amplifiers,” IEEE Photonics Technol. Lett. 19(9), 650–652 (2007).
[Crossref]

J. Lightwave Technol. (1)

J. Opt. (1)

S. Rui, C. Hong-Wei, C. Sheng-Ping, H. Jing, and L. Qi-Sheng, “A SESAM passively mode-locked fiber laser with a long cavity including a band pass filter,” J. Opt. 13(3), 035201 (2011).
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J. Opt. Soc. Am. B (3)

Light Sci. Appl. (1)

J.-L. Wu, Y.-Q. Xu, J.-J. Xu, X.-M. Wei, A. C. S. Chan, A. H. L. Tang, A. K. S. Lau, B. M. F. Chung, H. Cheung Shum, E. Y. Lam, K. K. Y. Wong, and K. K. Tsia, “Ultrafast laser-scanning time-stretch imaging at visible wavelengths,” Light Sci. Appl. 6(1), e16196 (2017).
[Crossref]

Nat. Commun. (1)

M. A. Soto, M. Alem, M. Amin Shoaie, A. Vedadi, C.-S. Brès, L. Thévenaz, and T. Schneider, “Optical sinc-shaped Nyquist pulses of exceptional quality,” Nat. Commun. 4, 2898 (2013).
[Crossref] [PubMed]

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D. R. Solli, G. Herink, B. Jalali, and C. Ropers, “Fluctuations and correlations in modulation instability,” Nat. Photonics 6(7), 463–468 (2012).
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Opt. Express (2)

Opt. Lett. (7)

Phys. Rev. A (1)

K. Goda, D. R. Solli, K. K. Tsia, and B. Jalali, “Theory of amplified dispersive Fourier transformation,” Phys. Rev. A 80(4), 043821 (2009).
[Crossref]

Other (2)

G. P. Agrawal, Nonlinear Fiber Optics (Academic).

Y. R. Shen, The Principles of Nonlinear Optics (J. Wiley).

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Figures (4)

Fig. 1
Fig. 1 A generic setup of a passively mode-lock fiber parametric laser. DM: dichroic mirror, BPF: band pass filter, CIR: circulator, SESAM: semiconductor saturable absorber mirror.
Fig. 2
Fig. 2 Space-time analogy of passively mode-locked lasers with a rare earth doped gain fiber (a) and a parametric gain fiber (b).
Fig. 3
Fig. 3 Temporal evolution of intracavity pulses, with various amount of dispersion induced by the FACED cavity (a) 318 ps2, (b) 127 ps2, (c) 64 ps2, and (d) no dispersion arrangement. (e) is the pulse energy and the conversion efficiency from the pump to mode-locked sideband as a function of round trip number in the single pulse regime.
Fig. 4
Fig. 4 (a) and (b) are, respectively the temporal and spectral intensity/phase of the intracavity pulse. The solid curves are the simulated temporal and spectral intensity, and the dashed-dot curve in (a) is the theoretical sinc function profile. Dashed curves are the corresponding temporal and spectral phase. (c) is the overall spectral evolution of the oscillator. (d) is the close-up view of the spectral evolution of the intracavity mode-locked sideband indicated by the squared box in (c).

Equations (2)

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r=1 α 1+P/ P sat ,
D total ΔΩ τ pump ,

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