Abstract

We analyze experimentally light scattering from χ(2) nonlinear gratings and observe two types of second-harmonic frequency-scattering processes. The first process is identified as Raman–Nath type nonlinear diffraction that is explained by applying only transverse phase-matching conditions. The angular position of this type of diffraction is defined by the ratio of the second-harmonic wavelength and the grating period. In contrast, the second type of nonlinear scattering process is explained by the longitudinal phase matching only, being insensitive to the nonlinear grating period.

© 2009 Optical Society of America

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  1. M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
    [CrossRef]
  2. M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999), Chap. 12.
  3. I. Freund, Phys. Rev. Lett. 21, 1404 (1968).
    [CrossRef]
  4. G. Dolino, Phys. Rev. B 6, 4025 (1972).
    [CrossRef]
  5. Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
    [CrossRef]
  6. A. L. Aleksandrovskii and V. V. Volkov, Quantum Electron. 26, 542 (1996).
    [CrossRef]
  7. A. Apostoluk, D. Chapron, G. Gadret, B. Sahraoui, J. Nunzi, C. Fiorini-Debuisschert, and P. Raimond, Opt. Lett. 27, 2028 (2002).
    [CrossRef]
  8. S. Moscovich, A. Arie, R. Urneski, A. Agronin, G. Rosenman, and Y. Rosenwaks, Opt. Express 12, 2236 (2004).
    [CrossRef] [PubMed]
  9. I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
    [CrossRef]
  10. S. Saltiel, D. Neshev, W. Krolikowski, R. Fischer, A. Arie, and Yu. Kivshar, Phys. Rev. Lett. 100, 103902 (2008).
    [CrossRef] [PubMed]
  11. A. Fragemann, V. Pasiskevicius, and F. Laurell, Appl. Phys. Lett. 85, 375 (2004).
    [CrossRef]
  12. A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
    [CrossRef]
  13. A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
    [CrossRef] [PubMed]
  14. R. Fischer, D. N. Neshev, S. M. Saltiel, W. Krolikowski, and Yu. S. Kivshar, Appl. Phys. Lett. 89, 191105 (2006).
    [CrossRef]
  15. A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
    [CrossRef]
  16. S. J. Holmgren, C. Canalias, and V. Pasiskevicius, Opt. Lett. 32, 1545 (2007).
    [CrossRef] [PubMed]

2008

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
[CrossRef]

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

2007

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

S. J. Holmgren, C. Canalias, and V. Pasiskevicius, Opt. Lett. 32, 1545 (2007).
[CrossRef] [PubMed]

2006

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

2004

2003

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

2002

2001

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

1996

A. L. Aleksandrovskii and V. V. Volkov, Quantum Electron. 26, 542 (1996).
[CrossRef]

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

1992

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
[CrossRef]

1972

G. Dolino, Phys. Rev. B 6, 4025 (1972).
[CrossRef]

1968

I. Freund, Phys. Rev. Lett. 21, 1404 (1968).
[CrossRef]

Agronin, A.

Aleksandrovskii, A. L.

A. L. Aleksandrovskii and V. V. Volkov, Quantum Electron. 26, 542 (1996).
[CrossRef]

Aleksandrovsky, A. S.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

Apostoluk, A.

Arie, A.

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

S. Moscovich, A. Arie, R. Urneski, A. Agronin, G. Rosenman, and Y. Rosenwaks, Opt. Express 12, 2236 (2004).
[CrossRef] [PubMed]

Arkhipekin, V. G.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

Aubry, R.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

Betzler, K.

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Born, M.

M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999), Chap. 12.

Butashin, A. V.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Byer, R. L.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
[CrossRef]

Canalias, C.

Chapron, D.

Chirkin, A. S.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
[CrossRef]

Dolino, G.

G. Dolino, Phys. Rev. B 6, 4025 (1972).
[CrossRef]

Fejer, M. M.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
[CrossRef]

Fiorini-Debuisschert, C.

Fischer, R.

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

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

Fragemann, A.

A. Fragemann, V. Pasiskevicius, and F. Laurell, Appl. Phys. Lett. 85, 375 (2004).
[CrossRef]

Freund, I.

I. Freund, Phys. Rev. Lett. 21, 1404 (1968).
[CrossRef]

Gadret, G.

Holmgren, S. J.

Jundt, D. H.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
[CrossRef]

Kaminskii, A. A.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Kivshar, Yu.

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

Kivshar, Yu. S.

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

Krolikowski, W.

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

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

Laurell, F.

A. Fragemann, V. Pasiskevicius, and F. Laurell, Appl. Phys. Lett. 85, 375 (2004).
[CrossRef]

Le Grand, Y.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

Magel, G. A.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
[CrossRef]

Mattauch, S.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

Moscovich, S.

Neshev, D.

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

Neshev, D. N.

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

Nishioka, H.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Nunzi, J.

Odajima, W.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Odin, C.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

Ozheredov, I. A.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
[CrossRef]

Pasiskevicius, V.

S. J. Holmgren, C. Canalias, and V. Pasiskevicius, Opt. Lett. 32, 1545 (2007).
[CrossRef] [PubMed]

A. Fragemann, V. Pasiskevicius, and F. Laurell, Appl. Phys. Lett. 85, 375 (2004).
[CrossRef]

Raimond, P.

Rosenman, G.

Rosenwaks, Y.

Rouede, D.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

Sahraoui, B.

Saltiel, S.

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

Saltiel, S. M.

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

Sasaki, K.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Shumitski, A. V.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
[CrossRef]

Shutov, I. V.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
[CrossRef]

Tateno, M.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Tunyagi, A. R.

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Ueda, K.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

Ulex, M.

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Urneski, R.

Volkov, V. V.

A. L. Aleksandrovskii and V. V. Volkov, Quantum Electron. 26, 542 (1996).
[CrossRef]

Vyunishev, A. M.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

Wolf, E.

M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999), Chap. 12.

Zaitsev, A. I.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

Zamkov, A. V.

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

Appl. Phys. Lett.

A. Fragemann, V. Pasiskevicius, and F. Laurell, Appl. Phys. Lett. 85, 375 (2004).
[CrossRef]

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

IEEE J. Quantum Electron.

M. M. Fejer, G. A. Magel, D. H. Jundt, and R. L. Byer, IEEE J. Quantum Electron. QE-28, 2631 (1992).
[CrossRef]

J. Opt. A

A. S. Aleksandrovsky, A. M. Vyunishev, A. I. Zaitsev, A. V. Zamkov, and V. G. Arkhipekin, J. Opt. A 16, S334 (2007).
[CrossRef]

Opt. Commun.

Y. Le Grand, D. Rouede, C. Odin, R. Aubry, and S. Mattauch, Opt. Commun. 200, 249 (2001).
[CrossRef]

Opt. Express

Opt. Lett.

Opt. Spectrosc.

I. V. Shutov, I. A. Ozheredov, A. V. Shumitski, and A. S. Chirkin, Opt. Spectrosc. 105, 79 (2008).
[CrossRef]

Phys. Rev. B

G. Dolino, Phys. Rev. B 6, 4025 (1972).
[CrossRef]

Phys. Rev. Lett.

I. Freund, Phys. Rev. Lett. 21, 1404 (1968).
[CrossRef]

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

A. R. Tunyagi, M. Ulex, and K. Betzler, Phys. Rev. Lett. 90, 243901 (2003).
[CrossRef] [PubMed]

Quantum Electron.

A. A. Kaminskii, H. Nishioka, K. Ueda, W. Odajima, M. Tateno, K. Sasaki, and A. V. Butashin, Quantum Electron. 26, 381 (1996).
[CrossRef]

A. L. Aleksandrovskii and V. V. Volkov, Quantum Electron. 26, 542 (1996).
[CrossRef]

Other

M. Born and E. Wolf, Principles of Optics (Cambridge U. Press, 1999), Chap. 12.

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Figures (4)

Fig. 1
Fig. 1

Phase-matching conditions for (a) nonlinear Bragg and (b) Raman–Nath diffraction. (c) Schematic of the experiment. (d), (e) Experimentally observed nonlinear diffraction patterns generated in one-dimensional QPM grating in PPLN with period Λ = 14.6 μ m .

Fig. 2
Fig. 2

Phase-matching diagrams for SH diffraction when pump is perpendicular to the QPM grating. The two semicircles correspond to the ordinary and extraordinary wave vectors.

Fig. 3
Fig. 3

(a) External angle of first-order TPM-SH in four samples with different grating periods. (b) Increase of the first-order TPM-SH external angle with the angle of FF beam incidence for a PPLN sample ( Λ = 14.6 μ m ) .

Fig. 4
Fig. 4

(a) Positions of the SH diffraction spots versus γ ext , measured on a screen perpendicular to the FF beam. (b) Theoretical prediction. Central curves, TPM-SH; thick curves, LPM-SH. E 2 O 1 O 1 , solid thick curve; O 2 O 1 O 1 , dashed thick curve. Inset, scheme of the angle-dependence experiment.

Equations (2)

Equations on this page are rendered with MathJax. Learn more.

sin β m = m λ 2 Λ , m = 1 , 2 , ,
cos θ e = 2 k 1 , o k 2 , e ( θ e ) , cos θ o = 2 k 1 , o k 2 , o .

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