Abstract

We report on the experimental realization of Cerenkov sum-frequency generation across the material dispersion in a one-dimensional, periodically poled ferroelectric crystal. Three schemes of sum-frequency generation, confined only in the vicinity of domain walls and in the form of nonlinear Cerenkov radiation, are demonstrated in normal, degenerated, and anomalous-dispersion-like configurations. We exploit their phase-matching geometries, which exhibit a whole scenario of the evolution of Cerenkov radiation varying with the dispersion relationship among the interaction waves. In addition, two sets of conical sum-frequency generation with different radius and center are demonstrated, which result from scattering assistant phase-matching processes.

© 2015 Chinese Laser Press

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References

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  1. P. A. Cherenkov, “Visible emission of clean liquids by action of γ radiation,” Doklady Akademii Nauk SSSR 2, 451 (1934).
  2. C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
    [Crossref]
  3. Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
    [Crossref]
  4. C. Ma, Y. Wang, L. Liu, X. Fan, A. Qi, Z. Feng, F. Yang, Q. Peng, Z. Xu, and W. Zheng, “Dark blue Cerenkov second harmonic generation in the two-layer-stacked hexagonal periodically poled MgO:LiNbO3s,” Chin. Opt. Lett. 12, 030501 (2014).
    [Crossref]
  5. A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
    [Crossref]
  6. X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (2010).
    [Crossref]
  7. K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett. 37, 1832–1834 (2012).
    [Crossref]
  8. Y. Zhang, F. Wang, K. Geren, S. Zhu, and M. Xiao, “Second-harmonic imaging from a modulated domain structure,” Opt. Lett. 35, 178–180 (2010).
    [Crossref]
  9. H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
    [Crossref]
  10. K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
    [Crossref]
  11. H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
    [Crossref]
  12. X. Zhao, Y. Zheng, H. Ren, N. An, and X. Chen, “Cherenkov second-harmonic Talbot effect in one-dimension nonlinear photonic crystal,” Opt. Lett. 39, 5885–5887 (2014).
    [Crossref]
  13. H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
    [Crossref]
  14. H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Enhanced nonlinear Cherenkov radiation on the crystal boundary,” Opt. Lett. 38, 1993–1995 (2013).
    [Crossref]
  15. X. Wang, H. Ren, N. An, X. Zhao, Y. Zheng, and X. Chen, “Large acceptance of non-collinear phase-matching second harmonic generation on the surface of an anomalous-like bulk dispersion medium,” Opt. Express 22, 28234–28239 (2014).
    [Crossref]
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    [Crossref]
  17. Y. Sheng, A. Best, H.-J. Butt, W. Krolikowski, A. Arie, and K. Koynov, “Three-dimensional ferroelectric domain visualization by Čerenkov-type second harmonic generation,” Opt. Express 18, 16539–16545 (2010).
    [Crossref]
  18. N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
    [Crossref]
  19. Y. Ja, “A scattered ring in a natural crystal of tourmaline,” J. Opt. 21, 41 (1990).
    [Crossref]
  20. K. Bastwöste, U. Sander, and M. Imlau, “Conical light scattering in strontium barium niobate crystals related to an intrinsic composition inhomogeneity,” J. Phys. Condens. Matter 19, 156225 (2007).
    [Crossref]
  21. P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
    [Crossref]

2014 (3)

2013 (3)

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Enhanced nonlinear Cherenkov radiation on the crystal boundary,” Opt. Lett. 38, 1993–1995 (2013).
[Crossref]

2012 (3)

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett. 37, 1832–1834 (2012).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[Crossref]

2011 (1)

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[Crossref]

2010 (4)

2008 (1)

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

2007 (1)

K. Bastwöste, U. Sander, and M. Imlau, “Conical light scattering in strontium barium niobate crystals related to an intrinsic composition inhomogeneity,” J. Phys. Condens. Matter 19, 156225 (2007).
[Crossref]

2004 (2)

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
[Crossref]

2003 (1)

C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
[Crossref]

1990 (1)

Y. Ja, “A scattered ring in a natural crystal of tourmaline,” J. Opt. 21, 41 (1990).
[Crossref]

1934 (1)

P. A. Cherenkov, “Visible emission of clean liquids by action of γ radiation,” Doklady Akademii Nauk SSSR 2, 451 (1934).

An, N.

X. Zhao, Y. Zheng, H. Ren, N. An, and X. Chen, “Cherenkov second-harmonic Talbot effect in one-dimension nonlinear photonic crystal,” Opt. Lett. 39, 5885–5887 (2014).
[Crossref]

X. Wang, H. Ren, N. An, X. Zhao, Y. Zheng, and X. Chen, “Large acceptance of non-collinear phase-matching second harmonic generation on the surface of an anomalous-like bulk dispersion medium,” Opt. Express 22, 28234–28239 (2014).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Enhanced nonlinear Cherenkov radiation on the crystal boundary,” Opt. Lett. 38, 1993–1995 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[Crossref]

Arie, A.

Ayoub, M.

Bastwöste, K.

K. Bastwöste, U. Sander, and M. Imlau, “Conical light scattering in strontium barium niobate crystals related to an intrinsic composition inhomogeneity,” J. Phys. Condens. Matter 19, 156225 (2007).
[Crossref]

Best, A.

Butt, H.-J.

Chen, X.

Cherenkov, P. A.

P. A. Cherenkov, “Visible emission of clean liquids by action of γ radiation,” Doklady Akademii Nauk SSSR 2, 451 (1934).

Deng, X.

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Enhanced nonlinear Cherenkov radiation on the crystal boundary,” Opt. Lett. 38, 1993–1995 (2013).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[Crossref]

X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (2010).
[Crossref]

Denz, C.

Fan, X.

Feng, Z.

Fragemann, A.

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
[Crossref]

Gao, Z.

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

Geren, K.

He, J.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Hong, X.-H.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Huang, C.-P.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Huang, H.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Ibanescu, M.

C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
[Crossref]

Imbrock, J.

Imlau, M.

K. Bastwöste, U. Sander, and M. Imlau, “Conical light scattering in strontium barium niobate crystals related to an intrinsic composition inhomogeneity,” J. Phys. Condens. Matter 19, 156225 (2007).
[Crossref]

Ja, Y.

Y. Ja, “A scattered ring in a natural crystal of tourmaline,” J. Opt. 21, 41 (1990).
[Crossref]

Ji, S.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Jiang, J.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Joannopoulos, J.

C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
[Crossref]

Johnson, S. G.

C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
[Crossref]

Kalinowski, K.

K. Kalinowski, P. Roedig, Y. Sheng, M. Ayoub, J. Imbrock, C. Denz, and W. Krolikowski, “Enhanced Čerenkov second-harmonic emission in nonlinear photonic structures,” Opt. Lett. 37, 1832–1834 (2012).
[Crossref]

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[Crossref]

Kivshar, Y. S.

Kong, Q.

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[Crossref]

Koynov, K.

Krolikowski, W.

Laurell, F.

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
[Crossref]

Liu, L.

Lu, J.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Luo, C.

C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
[Crossref]

Ma, C.

Ming, N.

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Pasiskevicius, V.

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
[Crossref]

Peng, Q.

Qi, A.

Qi, Z.

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

Ren, H.

X. Zhao, Y. Zheng, H. Ren, N. An, and X. Chen, “Cherenkov second-harmonic Talbot effect in one-dimension nonlinear photonic crystal,” Opt. Lett. 39, 5885–5887 (2014).
[Crossref]

X. Wang, H. Ren, N. An, X. Zhao, Y. Zheng, and X. Chen, “Large acceptance of non-collinear phase-matching second harmonic generation on the surface of an anomalous-like bulk dispersion medium,” Opt. Express 22, 28234–28239 (2014).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Enhanced nonlinear Cherenkov radiation on the crystal boundary,” Opt. Lett. 38, 1993–1995 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[Crossref]

Roedig, P.

Roppo, V.

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[Crossref]

Saltiel, S. M.

Sander, U.

K. Bastwöste, U. Sander, and M. Imlau, “Conical light scattering in strontium barium niobate crystals related to an intrinsic composition inhomogeneity,” J. Phys. Condens. Matter 19, 156225 (2007).
[Crossref]

Sheng, Y.

Sun, J.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Wang, F.

Wang, H.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Wang, Q.-J.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Wang, X.

Wang, Y.

Xiao, M.

Xu, P.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Xu, Z.

Yang, F.

Yu, X.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Zhang, C.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Zhang, Y.

Y. Zhang, F. Wang, K. Geren, S. Zhu, and M. Xiao, “Second-harmonic imaging from a modulated domain structure,” Opt. Lett. 35, 178–180 (2010).
[Crossref]

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

Zhao, X.

Zheng, W.

Zheng, Y.

X. Zhao, Y. Zheng, H. Ren, N. An, and X. Chen, “Cherenkov second-harmonic Talbot effect in one-dimension nonlinear photonic crystal,” Opt. Lett. 39, 5885–5887 (2014).
[Crossref]

X. Wang, H. Ren, N. An, X. Zhao, Y. Zheng, and X. Chen, “Large acceptance of non-collinear phase-matching second harmonic generation on the surface of an anomalous-like bulk dispersion medium,” Opt. Express 22, 28234–28239 (2014).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Enhanced nonlinear Cherenkov radiation on the crystal boundary,” Opt. Lett. 38, 1993–1995 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[Crossref]

Zhu, D.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Zhu, S.

Y. Zhang, F. Wang, K. Geren, S. Zhu, and M. Xiao, “Second-harmonic imaging from a modulated domain structure,” Opt. Lett. 35, 178–180 (2010).
[Crossref]

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Zhu, Y.

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Zhu, Y.-Y.

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

Appl. Phys. Lett. (5)

A. Fragemann, V. Pasiskevicius, and F. Laurell, “Second-order nonlinearities in the domain walls of periodically poled KTiOPO4,” Appl. Phys. Lett. 85, 375–377 (2004).
[Crossref]

H. Huang, C.-P. Huang, C. Zhang, D. Zhu, X.-H. Hong, J. Lu, J. Jiang, Q.-J. Wang, and Y.-Y. Zhu, “Second-harmonic generation in a periodically poled congruent LiTaO3 sample with phase-tuned nonlinear Cherenkov radiation,” Appl. Phys. Lett. 100, 022905 (2012).
[Crossref]

K. Kalinowski, Q. Kong, V. Roppo, A. Arie, Y. Sheng, and W. Krolikowski, “Wavelength and position tuning of Čerenkov second-harmonic generation in optical superlattice,” Appl. Phys. Lett. 99, 181128 (2011).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Surface phase-matched harmonic enhancement in a bulk anomalous dispersion medium,” Appl. Phys. Lett. 103, 021110 (2013).
[Crossref]

N. An, Y. Zheng, H. Ren, X. Deng, and X. Chen, “Conical second harmonic generation in one-dimension nonlinear photonic crystal,” Appl. Phys. Lett. 102, 201112 (2013).
[Crossref]

Chin. Opt. Lett. (1)

Doklady Akademii Nauk SSSR (1)

P. A. Cherenkov, “Visible emission of clean liquids by action of γ radiation,” Doklady Akademii Nauk SSSR 2, 451 (1934).

J. Opt. (1)

Y. Ja, “A scattered ring in a natural crystal of tourmaline,” J. Opt. 21, 41 (1990).
[Crossref]

J. Phys. Condens. Matter (1)

K. Bastwöste, U. Sander, and M. Imlau, “Conical light scattering in strontium barium niobate crystals related to an intrinsic composition inhomogeneity,” J. Phys. Condens. Matter 19, 156225 (2007).
[Crossref]

Opt. Express (3)

Opt. Lett. (5)

Phys. Rev. Lett. (3)

Y. Zhang, Z. Gao, Z. Qi, S. Zhu, and N. Ming, “Nonlinear Čerenkov radiation in nonlinear photonic crystal waveguides,” Phys. Rev. Lett. 100, 163904 (2008).
[Crossref]

H. Ren, X. Deng, Y. Zheng, N. An, and X. Chen, “Nonlinear Cherenkov radiation in an anomalous dispersive medium,” Phys. Rev. Lett. 108, 223901 (2012).
[Crossref]

P. Xu, S. Ji, S. Zhu, X. Yu, J. Sun, H. Wang, J. He, Y. Zhu, and N. Ming, “Conical second harmonic generation in a two-dimensional χ(2) photonic crystal: a hexagonally poled LiTaO3 crystal,” Phys. Rev. Lett. 93, 133904 (2004).
[Crossref]

Science (1)

C. Luo, M. Ibanescu, S. G. Johnson, and J. Joannopoulos, “Cerenkov radiation in photonic crystals,” Science 299, 368–371 (2003).
[Crossref]

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Figures (4)

Fig. 1.
Fig. 1. (a) Layout of experimental setup. λ1=800nm, λ2=1000nm1600nm. (b) Theoretical curves of the wave vector relationship of the interaction wave beams, where the incidences are both set to be ordinary polarized and the SFG extraordinary polarized.
Fig. 2.
Fig. 2. (a)–(c) Illustrations of the typical patterns with the wavelength of incidence F2 at 1250 nm, 1340 nm, and 1450 nm, respectively. (d)–(f) Schematics of the phase-match conditions of the Cerenkov sum-frequency generation (CSFG) in normal dispersion, degenerated, and anomalous dispersion stage, respectively.
Fig. 3.
Fig. 3. (a) Experimental data (red spots) and simulation (solid line) of the external angle of the Cerenkov generation as a function of incident wavelength. (b) Experimental data (green spots) and simulation (solid line) of the incident angle at degenerated stage as a function of incident wavelength.
Fig. 4.
Fig. 4. (a) Experimental pattern of the two sets of multiple conical harmonic generations. (b), (c) Phase-matching geometries for conical SFG 1 and conical SFG 2, respectively. Each incidence mixes with the scattered lights of the other incidence, giving birth to multiple scattering rings with different radii and center locations.

Equations (3)

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vp=ω3(ω1v1+ω2v2)cosγ,
cosθ=(|k⃗1|+|k⃗2|)cosγ|k⃗3|,
k⃗1+k⃗2+mG⃗0=k⃗3,k⃗2+k⃗1+mG⃗0=k⃗3,m=1,2,

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