Abstract

We investigate second-harmonic generation in a nonlinear photonic crystal having radial quasi-periodic order and continuous rotational symmetry. This device enables us to simultaneously phase match different nonlinear interactions in any arbitrary direction of propagation. We have fabricated such a crystal by electric field poling of a magnesium-doped stoichiometric LiTaO3 and demonstrated frequency doubling of two different pump wavelengths at three different angles. Fourier coefficients were 10 times higher than that of a lattice-based multidirectional frequency doubler.

© 2010 Optical Society of America

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  1. M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
    [CrossRef]
  2. V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
    [CrossRef]
  3. A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
    [CrossRef]
  4. S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
    [CrossRef]
  5. K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2001).
    [CrossRef]
  6. R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
    [CrossRef] [PubMed]
  7. M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
    [CrossRef] [PubMed]
  8. R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
    [CrossRef]
  9. Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
    [CrossRef]
  10. D. Kasimov, A. Arie, E. Winebrand, G. Rosenman, A. Bruner, P. Shaier, and D. Eger, Opt. Express 14, 9371 (2006).
    [CrossRef] [PubMed]
  11. T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
    [CrossRef]
  12. N. Voloch, T. Ellenbogen, and A. Arie, J. Opt. Soc. Am. B 26, 42 (2009).
    [CrossRef]
  13. S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
    [CrossRef] [PubMed]
  14. S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
    [CrossRef]
  15. S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
    [CrossRef] [PubMed]
  16. A. Bahabad, A. Ganany-Padowicz, and A. Arie, Opt. Lett. 33, 1386 (2008).
    [CrossRef] [PubMed]
  17. G. Porat, O. Gayer, and A. Arie, Opt. Lett. 35, 1401 (2010).
    [CrossRef] [PubMed]

2010

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

G. Porat, O. Gayer, and A. Arie, Opt. Lett. 35, 1401 (2010).
[CrossRef] [PubMed]

2009

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

N. Voloch, T. Ellenbogen, and A. Arie, J. Opt. Soc. Am. B 26, 42 (2009).
[CrossRef]

2008

A. Bahabad, A. Ganany-Padowicz, and A. Arie, Opt. Lett. 33, 1386 (2008).
[CrossRef] [PubMed]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

2007

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

2006

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

D. Kasimov, A. Arie, E. Winebrand, G. Rosenman, A. Bruner, P. Shaier, and D. Eger, Opt. Express 14, 9371 (2006).
[CrossRef] [PubMed]

2005

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

2004

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

2001

K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2001).
[CrossRef]

1998

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

1997

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

1993

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[CrossRef]

Arie, A.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

G. Porat, O. Gayer, and A. Arie, Opt. Lett. 35, 1401 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

N. Voloch, T. Ellenbogen, and A. Arie, J. Opt. Soc. Am. B 26, 42 (2009).
[CrossRef]

A. Bahabad, A. Ganany-Padowicz, and A. Arie, Opt. Lett. 33, 1386 (2008).
[CrossRef] [PubMed]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

D. Kasimov, A. Arie, E. Winebrand, G. Rosenman, A. Bruner, P. Shaier, and D. Eger, Opt. Express 14, 9371 (2006).
[CrossRef] [PubMed]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2001).
[CrossRef]

Bahabad, A.

A. Bahabad, A. Ganany-Padowicz, and A. Arie, Opt. Lett. 33, 1386 (2008).
[CrossRef] [PubMed]

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

Bang, O.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

Baudrier-Raybaut, M.

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

Berger, V.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

Bloch, N. V.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Bruner, A.

Cheng, B.

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Dou, J.

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Eger, D.

Ellenbogen, T.

Fischer, R.

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Fradkin, K.

K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2001).
[CrossRef]

Ganany-Padowicz, A.

Gayer, O.

Habshoosh, N.

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

Haïdar, R.

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

Kasimov, D.

Kivshar, Y.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Kivshar, Y. S.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

Koynov, K.

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Krolikowski, W.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Kupecek, Ph.

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

Lemasson, Ph.

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

Li, J.

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Lifshitz, R.

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

Ma, B.

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Ma, D.

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

Ming, N. B.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

Nada, N.

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[CrossRef]

Neshev, D.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Neshev, D. N.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

Ni, P.

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Porat, G.

Rosencher, E.

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

Rosenman, G.

Saitoh, M.

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[CrossRef]

Saltiel, S.

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Saltiel, S. M.

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

Shaier, P.

Sheng, Y.

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Urenski, P.

K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2001).
[CrossRef]

Voloch, N.

Wang, T.

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Watanabe, K.

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[CrossRef]

Winebrand, E.

Yamada, M.

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[CrossRef]

Zhang, D.

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Zhu, S. N.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

Zhu, Y. Y.

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

Appl. Phys. Lett.

M. Yamada, N. Nada, M. Saitoh, and K. Watanabe, Appl. Phys. Lett. 62, 435 (1993).
[CrossRef]

R. Fischer, S. Saltiel, D. Neshev, W. Krolikowski, and Y. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
[CrossRef]

Y. Sheng, J. Dou, J. Li, D. Ma, B. Cheng, and D. Zhang, Appl. Phys. Lett. 91, 101109 (2007).
[CrossRef]

IEEE J. Quantum Electron.

S. M. Saltiel, Y. Sheng, N. V. Bloch, D. N. Neshev, W. Krolikowski, A. Arie, K. Koynov, and Y. S. Kivshar, IEEE J. Quantum Electron. 45, 1465 (2009).
[CrossRef]

J. Opt. Soc. Am. B

Nature

M. Baudrier-Raybaut, R. Haïdar, Ph. Kupecek, Ph. Lemasson, and E. Rosencher, Nature 432, 374 (2004).
[CrossRef] [PubMed]

Opt. Commun.

T. Wang, B. Ma, Y. Sheng, P. Ni, B. Cheng, and D. Zhang, Opt. Commun. 252, 397 (2005).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Quantum Electron.

A. Arie, N. Habshoosh, and A. Bahabad, Opt. Quantum Electron. 39, 361 (2007).
[CrossRef]

Phys. Rev. Lett.

V. Berger, Phys. Rev. Lett. 81, 4136 (1998).
[CrossRef]

S. M. Saltiel, D. N. Neshev, R. Fischer, W. Krolikowski, A. Arie, and Y. S. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
[CrossRef] [PubMed]

K. Fradkin, A. Arie, P. Urenski, and G. Rosenman, Phys. Rev. Lett. 88, 023903 (2001).
[CrossRef]

R. Lifshitz, A. Arie, and A. Bahabad, Phys. Rev. Lett. 95, 133901 (2005).
[CrossRef] [PubMed]

S. M. Saltiel, D. N. Neshev, W. Krolikowski, N. V. Bloch, A. Arie, O. Bang, and Y. S. Kivshar, Phys. Rev. Lett. 104, 083902 (2010).
[CrossRef] [PubMed]

Science

S. N. Zhu, Y. Y. Zhu, and N. B. Ming, Science 278, 843 (1997).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Top view of multicolor SHG fan quasi-periodic-radial nonlinear photonic crystal, which is an SHG fan for several arbitrary frequencies. The black and white circles denote areas with positive and negative second-order nonlinearity.

Fig. 2
Fig. 2

Quasi-periodic-radial nonlinear photonic crystal. (a), (b) Geometric structure. The black and white areas represent the sign of the nonlinear coefficient. (c) Phase matching occurs when Ewald spheres E a or E b intersect with a circle on Fourier space. The black dots mark these intersection points. (d) Microscope image of the crystal. (e) Linear diffraction of the crystal and expanded view of central part in (g). (f) Numerical simulation of the structure’s spectrum: two rings that were designed to phase match two processes.

Fig. 3
Fig. 3

Constructing a quasi-periodic-radial nonlinear photonic crystal. (a) Construction of a 1D quasi-periodic structure. (b) Fourier spectrum of the 1D quasi-periodic structure. (c) Spanning the 1D structure into a quasi-periodic-radial nonlinear photonic crystal.

Fig. 4
Fig. 4

Experimental results of the multicolor SHG fan. Normalized SHG efficiency as a function of wavelength. The solid curve is a numerical simulation, and the markers are the experimental collinear SHG efficiency versus wavelength for three pump input angles of 20 ° , + 20 ° , and 0 ° . Inset, SHG efficiency versus temperature at 1565 nm .

Tables (1)

Tables Icon

Table 1 Conversion Efficiency of Multicolor SHG Fan

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