Abstract

We introduce a custom-cut periodically poled ferroelectric crystal for the phase matching of multistep cascading frequency conversion processes. Our approach involves combination of collinear second harmonic generation and transverse sum frequency mixing via the total internal reflection of the fundamental and collinear second harmonic beams. As a proof of concept we demonstrate multiple frequency generation with an enhanced fourth harmonic signal in a one-dimensional periodically poled LiNbO3 crystal.

© 2016 Optical Society of America

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  1. J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. Lett. 127(6), 1918–1939 (1962).
  2. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28(11) 2631–2654 (1992).
    [Crossref]
  3. I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21(19), 1404–1406 (1968).
    [Crossref]
  4. S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
    [Crossref]
  5. 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(11), 1832–1835 (2012).
    [Crossref] [PubMed]
  6. P. Molina, M. O. Ramirez, B. J. Garcia, and L. E. Bausa, “Directional dependence of the second harmonic response in two-dimensional nonlinear photonic crystals,” Appl. Phys. Lett. 96, 261111 (2010).
    [Crossref]
  7. Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (2012).
    [Crossref]
  8. 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(20), 201112 (2013).
    [Crossref]
  9. M. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Domain-shape-based modulation of Čerenkov second-harmonic generation in multidomain strontium barium niobate,” Opt. Lett. 36, 4371–4373 (2011).
    [Crossref] [PubMed]
  10. Y. Sheng, V. Roppo, K. Kalinowski, and W. Krolikowski, “Role of localised modulation of χ(2) in Čerenkov second harmonic generation in nonlinear bulk medium,” Opt. Lett. 37, 3864–3866 (2012).
    [Crossref] [PubMed]
  11. 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(18), 181128 (2011).
    [Crossref]
  12. V. Roppo, K. Kalinowski, Y. Sheng, W. Krolikowski, C. Cojocaru, and J. Trull, “Unified approach to Čerenkov second harmonic generation,” Opt. Express 21(22), 25715–25726 (2010).
    [Crossref]
  13. X. Deng and X. Chen, “Domain wall characterization in ferroelectrics by using localized nonlinearities,” Opt. Express 18, 15597–15602 (2010).
    [Crossref] [PubMed]
  14. Y. Sheng, A. Best, H. 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] [PubMed]
  15. P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Express 23, 14903–14912 (2015).
    [Crossref] [PubMed]
  16. Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
    [Crossref]
  17. C. D. Chen, J. Lu, Y. H. Liu, X. P. Hu, L. N. Zhao, Y. Zhang, G. Zhao, Y. Yuan, and S. N. Zhu, “Čerenkov third-harmonic generation via cascaded χ(2) processes in a periodic-poled LiTaO3 waveguide,” Opt. Lett. 36(7), 1227–1229 (2011).
    [Crossref] [PubMed]
  18. M. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Cascaded Čerenkov third-harmonic generation in random quadratic media,” Appl. Phys. Lett. 99(24), 241109 (2011).
    [Crossref]
  19. L. Mateos, P. Molina, J. Galisteo, C. Lopez, L. E. Bausa, and M. O. Ramirez, “Simultanoeus generation of second to fifth harmonic conical beam in a two-dimensional nonlinear photonic crystal,” Opt. Express 20(28), 29940–29948 (2012).
    [Crossref]
  20. N. An, H. Ren, Y. Zheng, X. Deng, and X. Cheng, “Čerenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100(22), 221103 (2012).
    [Crossref]
  21. D.E. Zelmon, D.L. Small, and D. Jundt, “Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5% magnesium oxide-doped lithium niobate,” J. Opt. Soc. Am. B 14(12), 3219–3222 (1997).
    [Crossref]
  22. A. M. Weiner, “Effect of group velocity mismatch on the measurement of ultrashort optical pulses via second harmonic generation,” IEEE J. Quantum Electron. 19(8), 1276–1283 (1983).
    [Crossref]
  23. Y. Sheng, J. Dou, B. Ma, and D. Zhang, “Broadband efficient second harmonic generation in media with a short-range order,” Appl. Phys. Lett. 91(1), 011101 (2007).
    [Crossref]

2015 (1)

2013 (1)

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(20), 201112 (2013).
[Crossref]

2012 (5)

2011 (5)

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(18), 181128 (2011).
[Crossref]

Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
[Crossref]

C. D. Chen, J. Lu, Y. H. Liu, X. P. Hu, L. N. Zhao, Y. Zhang, G. Zhao, Y. Yuan, and S. N. Zhu, “Čerenkov third-harmonic generation via cascaded χ(2) processes in a periodic-poled LiTaO3 waveguide,” Opt. Lett. 36(7), 1227–1229 (2011).
[Crossref] [PubMed]

M. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Cascaded Čerenkov third-harmonic generation in random quadratic media,” Appl. Phys. Lett. 99(24), 241109 (2011).
[Crossref]

M. Ayoub, P. Roedig, J. Imbrock, and C. Denz, “Domain-shape-based modulation of Čerenkov second-harmonic generation in multidomain strontium barium niobate,” Opt. Lett. 36, 4371–4373 (2011).
[Crossref] [PubMed]

2010 (4)

2009 (1)

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

2007 (1)

Y. Sheng, J. Dou, B. Ma, and D. Zhang, “Broadband efficient second harmonic generation in media with a short-range order,” Appl. Phys. Lett. 91(1), 011101 (2007).
[Crossref]

1997 (1)

D.E. Zelmon, D.L. Small, and D. Jundt, “Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5% magnesium oxide-doped lithium niobate,” J. Opt. Soc. Am. B 14(12), 3219–3222 (1997).
[Crossref]

1992 (1)

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28(11) 2631–2654 (1992).
[Crossref]

1983 (1)

A. M. Weiner, “Effect of group velocity mismatch on the measurement of ultrashort optical pulses via second harmonic generation,” IEEE J. Quantum Electron. 19(8), 1276–1283 (1983).
[Crossref]

1968 (1)

I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21(19), 1404–1406 (1968).
[Crossref]

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. Lett. 127(6), 1918–1939 (1962).

An, N.

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(20), 201112 (2013).
[Crossref]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Cheng, “Čerenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100(22), 221103 (2012).
[Crossref]

Arie, A.

Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
[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(18), 181128 (2011).
[Crossref]

Y. Sheng, A. Best, H. 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] [PubMed]

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. Lett. 127(6), 1918–1939 (1962).

Ayoub, M.

Bausa, L. E.

L. Mateos, P. Molina, J. Galisteo, C. Lopez, L. E. Bausa, and M. O. Ramirez, “Simultanoeus generation of second to fifth harmonic conical beam in a two-dimensional nonlinear photonic crystal,” Opt. Express 20(28), 29940–29948 (2012).
[Crossref]

P. Molina, M. O. Ramirez, B. J. Garcia, and L. E. Bausa, “Directional dependence of the second harmonic response in two-dimensional nonlinear photonic crystals,” Appl. Phys. Lett. 96, 261111 (2010).
[Crossref]

Best, A.

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. Lett. 127(6), 1918–1939 (1962).

Butt, H.

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28(11) 2631–2654 (1992).
[Crossref]

Chen, C. D.

Chen, X.

Cheng, X.

N. An, H. Ren, Y. Zheng, X. Deng, and X. Cheng, “Čerenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100(22), 221103 (2012).
[Crossref]

Cojocaru, C.

Deng, X.

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(20), 201112 (2013).
[Crossref]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Cheng, “Čerenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100(22), 221103 (2012).
[Crossref]

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

Denz, C.

Dou, J.

Y. Sheng, J. Dou, B. Ma, and D. Zhang, “Broadband efficient second harmonic generation in media with a short-range order,” Appl. Phys. Lett. 91(1), 011101 (2007).
[Crossref]

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. Lett. 127(6), 1918–1939 (1962).

Fejer, M. M.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28(11) 2631–2654 (1992).
[Crossref]

Freund, I.

I. Freund, “Nonlinear diffraction,” Phys. Rev. Lett. 21(19), 1404–1406 (1968).
[Crossref]

Galisteo, J.

Garcia, B. J.

P. Molina, M. O. Ramirez, B. J. Garcia, and L. E. Bausa, “Directional dependence of the second harmonic response in two-dimensional nonlinear photonic crystals,” Appl. Phys. Lett. 96, 261111 (2010).
[Crossref]

Grisard, A.

Hnatovsky, C.

Hu, X. P.

Imbrock, J.

Jundt, D.

D.E. Zelmon, D.L. Small, and D. Jundt, “Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5% magnesium oxide-doped lithium niobate,” J. Opt. Soc. Am. B 14(12), 3219–3222 (1997).
[Crossref]

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28(11) 2631–2654 (1992).
[Crossref]

Kalinowski, K.

Karpinski, P.

Kivshar, Y.

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Kong, Q.

Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (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(18), 181128 (2011).
[Crossref]

Kong, Y.

Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
[Crossref]

Koynov, K.

Y. Sheng, A. Best, H. 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] [PubMed]

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Krolikowski, W.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Express 23, 14903–14912 (2015).
[Crossref] [PubMed]

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(11), 1832–1835 (2012).
[Crossref] [PubMed]

Y. Sheng, V. Roppo, K. Kalinowski, and W. Krolikowski, “Role of localised modulation of χ(2) in Čerenkov second harmonic generation in nonlinear bulk medium,” Opt. Lett. 37, 3864–3866 (2012).
[Crossref] [PubMed]

Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (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(18), 181128 (2011).
[Crossref]

Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
[Crossref]

V. Roppo, K. Kalinowski, Y. Sheng, W. Krolikowski, C. Cojocaru, and J. Trull, “Unified approach to Čerenkov second harmonic generation,” Opt. Express 21(22), 25715–25726 (2010).
[Crossref]

Y. Sheng, A. Best, H. 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] [PubMed]

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Lallier, E.

Liu, Y. H.

Lopez, C.

Lu, J.

Luther-Davies, B.

Ma, B.

Y. Sheng, J. Dou, B. Ma, and D. Zhang, “Broadband efficient second harmonic generation in media with a short-range order,” Appl. Phys. Lett. 91(1), 011101 (2007).
[Crossref]

Magel, G. A.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, “Quasi-phase-matched second harmonic generation: tuning and tolerances,” IEEE J. Quantum Electron. 28(11) 2631–2654 (1992).
[Crossref]

Mateos, L.

Molina, P.

L. Mateos, P. Molina, J. Galisteo, C. Lopez, L. E. Bausa, and M. O. Ramirez, “Simultanoeus generation of second to fifth harmonic conical beam in a two-dimensional nonlinear photonic crystal,” Opt. Express 20(28), 29940–29948 (2012).
[Crossref]

P. Molina, M. O. Ramirez, B. J. Garcia, and L. E. Bausa, “Directional dependence of the second harmonic response in two-dimensional nonlinear photonic crystals,” Appl. Phys. Lett. 96, 261111 (2010).
[Crossref]

Neshev, D.

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, “Interactions between light waves in a nonlinear dielectric,” Phys. Rev. Lett. 127(6), 1918–1939 (1962).

Ramirez, M. O.

L. Mateos, P. Molina, J. Galisteo, C. Lopez, L. E. Bausa, and M. O. Ramirez, “Simultanoeus generation of second to fifth harmonic conical beam in a two-dimensional nonlinear photonic crystal,” Opt. Express 20(28), 29940–29948 (2012).
[Crossref]

P. Molina, M. O. Ramirez, B. J. Garcia, and L. E. Bausa, “Directional dependence of the second harmonic response in two-dimensional nonlinear photonic crystals,” Appl. Phys. Lett. 96, 261111 (2010).
[Crossref]

Ren, H.

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(20), 201112 (2013).
[Crossref]

N. An, H. Ren, Y. Zheng, X. Deng, and X. Cheng, “Čerenkov high-order harmonic generation by multistep cascading in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 100(22), 221103 (2012).
[Crossref]

Roedig, P.

Roppo, V.

Saltiel, S.

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Sheng, Y.

P. Karpinski, X. Chen, V. Shvedov, C. Hnatovsky, A. Grisard, E. Lallier, B. Luther-Davies, W. Krolikowski, and Y. Sheng, “Nonlinear diffraction in orientation-patterned semiconductors,” Opt. Express 23, 14903–14912 (2015).
[Crossref] [PubMed]

Y. Sheng, Q. Kong, V. Roppo, K. Kalinowski, Q. Wang, C. Cojocaru, J. Trull, and W. Krolikowski, “Theoretical study of Čerenkov-type second-harmonic generation in in periodically poled ferroelectric crystals,” J. Opt. Soc. Am. B 29, 312–318 (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(11), 1832–1835 (2012).
[Crossref] [PubMed]

Y. Sheng, V. Roppo, K. Kalinowski, and W. Krolikowski, “Role of localised modulation of χ(2) in Čerenkov second harmonic generation in nonlinear bulk medium,” Opt. Lett. 37, 3864–3866 (2012).
[Crossref] [PubMed]

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(18), 181128 (2011).
[Crossref]

Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
[Crossref]

V. Roppo, K. Kalinowski, Y. Sheng, W. Krolikowski, C. Cojocaru, and J. Trull, “Unified approach to Čerenkov second harmonic generation,” Opt. Express 21(22), 25715–25726 (2010).
[Crossref]

Y. Sheng, A. Best, H. 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] [PubMed]

S. Saltiel, Y. Sheng, N. Voloch-Bloch, D. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. Kivshar, “Čerenkov-type second-harmonic generation in two-dimensional nonlinear photonic structures,” IEEE J. Quantum Electron. 45, 1465–1472 (2009).
[Crossref]

Y. Sheng, J. Dou, B. Ma, and D. Zhang, “Broadband efficient second harmonic generation in media with a short-range order,” Appl. Phys. Lett. 91(1), 011101 (2007).
[Crossref]

Shiloh, R.

Y. Sheng, W. Wang, R. Shiloh, V. Roppo, Y. Kong, A. Arie, and W. Krolikowski, “Čerenkov third-harmonic generation in χ(2) nonlinear photonic crystal,” Appl. Phys. Lett. 98(24), 241114 (2011).
[Crossref]

Shvedov, V.

Small, D.L.

D.E. Zelmon, D.L. Small, and D. Jundt, “Infrared corrected Sellmeier coefficients for congruently grown lithium niobate and 5% magnesium oxide-doped lithium niobate,” J. Opt. Soc. Am. B 14(12), 3219–3222 (1997).
[Crossref]

Trull, J.

Voloch-Bloch, N.

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Figures (3)

Fig. 1
Fig. 1 (a,b) Phase matching diagrams of (a) traditional collinear quasi-phase matched SHG and (b) transverse SHG. The arc represents the magnitude of the SH wave vector; α is the emission angle of m-th Raman-Nath SH wave, and θ is the Čerenkov SH emission angle that is determined solely by the longitudinal phase matching condition. (c) The geometry of multiple frequency mixing process that combines both, collinear and transverse types of interactions. Here the collinear SH generation is followed, after its total reflection at the 45° corner, by the Čerenkov second-, third-, and fourth-harmonic generations.
Fig. 2
Fig. 2 Phase matching diagrams of frequency conversions in the customized structure. (a) Quasi-phase matched collinear SHG; (b) Čerenkov SHG; (c,d) Čerenkov THG via sum frequency mixing involving collinear and Čerenkov SH, respectively; (e,f) Čerenkov FHG via frequency doubling of collinear and Čerenkov SH, respectively; and (g,h) Čerenkov FHG via sum frequency mixing of the fundamental and different third harmonics.
Fig. 3
Fig. 3 (a) Experimentally recorded angular distribution of multiple frequency signals. The central spot corresponds to overlapping fundamental and collinearly generated SH beams. The latter is shown using false red color. Due to large differences in the harmonic powers this is a composite picture with enhanced brightness and contrast of high harmonics. The vertical bright streaks around CSH beams are artefacts caused by scattering of the fundamental beam in the sample. (b) Normalized intensity of the constituent harmonics as a function of the wavelength of fundamental beam. Numerical factors next to the plots represent the maximal power of each beam.

Tables (1)

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Table 1 Internal emission angles of the Čerenkov harmonics

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