Abstract

Second-harmonic generation in a two-dimensional nonlinear quasi-crystal is demonstrated for the first time to our knowledge. Temperature and wavelength tuning of the crystal reveal the uniformity of the pattern while angle tuning reveals the dense nature of the crystal’s Fourier spectrum. These results compare well with theoretical predictions showing the excellent uniformity of the crystal and suggest that more-complicated nonlinear holograms should be possible.

© 2005 Optical Society of America

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References

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2003 (1)

2002 (2)

J. R. Kurz, A. M. Schober, D. S. Hum, A. J. Saltzman, and M. M. Fejer, IEEE J. Sel. Top. Quantum Electron. 8, 660 (2002).
[CrossRef]

N. G. R. Broderick, R. T. Bratfalean, T. M. Monco, D. J. Richardson, and C. M. de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

2001 (1)

2000 (2)

G. Imeshev, M. A. Arbore, M. M. Fejer, A. Galvanauskas, M. Fermann, and D. Harter, J. Opt. Soc. Am. B 17, 304 (2000).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

1998 (2)

1993 (1)

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

1986 (1)

D. Levine and P. J. Steinhardt, Phys. Rev. B 34, 596 (1986).
[CrossRef]

1962 (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Arbore, M. A.

Armstrong, J. A.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Berger, V.

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

Bloembergen, N.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Boland, B. F.

Bratfalean, R. T.

Broderick, N. G. R.

N. G. R. Broderick, R. T. Bratfalean, T. M. Monco, D. J. Richardson, and C. M. de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Chowdhury, A.

de Sterke, C. M.

Ducuing, J.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Fejer, M. M.

Fermann, M.

Galvanauskas, A.

Hanna, D. C.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Harter, D.

Hum, D. S.

J. R. Kurz, A. M. Schober, D. S. Hum, A. J. Saltzman, and M. M. Fejer, IEEE J. Sel. Top. Quantum Electron. 8, 660 (2002).
[CrossRef]

Imeshev, G.

Kuech, T. F.

Kurz, J. R.

J. R. Kurz, A. M. Schober, D. S. Hum, A. J. Saltzman, and M. M. Fejer, IEEE J. Sel. Top. Quantum Electron. 8, 660 (2002).
[CrossRef]

Levine, D.

D. Levine and P. J. Steinhardt, Phys. Rev. B 34, 596 (1986).
[CrossRef]

McCaughan, L.

Monco, T. M.

Nada, N.

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

Norton, A. H.

Offerhaus, H. L.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Penrose, R.

R. Penrose, in The Physics of Quasicrystals, P. J. Steinhardt and S. Ostund, eds. (World Scientific, Singapore, 1987), Appendix I.

Pershan, P. S.

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Proctor, M.

Richardson, D. J.

N. G. R. Broderick, R. T. Bratfalean, T. M. Monco, D. J. Richardson, and C. M. de Sterke, J. Opt. Soc. Am. B 19, 2263 (2002).
[CrossRef]

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Ross, G. W.

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

Saitoh, M.

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

Saltzman, A. J.

J. R. Kurz, A. M. Schober, D. S. Hum, A. J. Saltzman, and M. M. Fejer, IEEE J. Sel. Top. Quantum Electron. 8, 660 (2002).
[CrossRef]

Schober, A. M.

J. R. Kurz, A. M. Schober, D. S. Hum, A. J. Saltzman, and M. M. Fejer, IEEE J. Sel. Top. Quantum Electron. 8, 660 (2002).
[CrossRef]

Staus, C.

Steinhardt, P. J.

D. Levine and P. J. Steinhardt, Phys. Rev. B 34, 596 (1986).
[CrossRef]

Watanabe, K.

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

Yamada, M.

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

Appl. Phys. Lett. (1)

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

IEEE J. Sel. Top. Quantum Electron. (1)

J. R. Kurz, A. M. Schober, D. S. Hum, A. J. Saltzman, and M. M. Fejer, IEEE J. Sel. Top. Quantum Electron. 8, 660 (2002).
[CrossRef]

J. Opt. Soc. Am. B (2)

Opt. Lett. (3)

Phys. Rev. (1)

J. A. Armstrong, N. Bloembergen, J. Ducuing, and P. S. Pershan, Phys. Rev. 127, 1918 (1962).
[CrossRef]

Phys. Rev. B (1)

D. Levine and P. J. Steinhardt, Phys. Rev. B 34, 596 (1986).
[CrossRef]

Phys. Rev. Lett. (2)

N. G. R. Broderick, G. W. Ross, H. L. Offerhaus, D. J. Richardson, and D. C. Hanna, Phys. Rev. Lett. 84, 4345 (2000).
[CrossRef] [PubMed]

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

Other (1)

R. Penrose, in The Physics of Quasicrystals, P. J. Steinhardt and S. Ostund, eds. (World Scientific, Singapore, 1987), Appendix I.

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Figures (3)

Fig. 1
Fig. 1

Optical picture of the poled pattern used in the experiments. The size of the poled hexagons is 8.7 µm. Inset, Fourier transform of the pattern with the size of the dots representing the size of the Fourier coefficients.

Fig. 2
Fig. 2

Temperature-tuning curve for the Penrose pattern. Inset, wavelength-tuning response.

Fig. 3
Fig. 3

Picture of the measured (circles) and theoretical (squares) input and output angles for the Penrose pattern.

Equations (1)

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kω+kω+Gn=k2ω,

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