Amplitude-equation formalism for four-wave-mixing geometry with transmission gratings

Journal of the Optical Society of America B: Optical Physics

Volumn 14, Issue 12, 1997, Pages 3349-3362

  Engin, D ^a   Cross, M C ^a,b   Yariv, A ^a  

^a California Institute of Technology   (United States)

^b CALIFORNIA INSTITUTE OF TECHNOLOGY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION GRATINGS; DISPERSION (WAVES); GEOMETRICAL OPTICS; LASER BEAMS; MATHEMATICAL MODELS;

AMPLITUDE EQUATION; LINEAR STABILITY ANALYSIS; PHOTOREFRACTIVE EFFECTS; TWO DIMENSIONAL;

FOUR WAVE MIXING;

EID: 0031375669     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.14.003349     Document Type: Article

References (30)

1. S. Weiss, S. Sternklar, and B. Fischer, Opt. Lett. 12, 114 (1987).
2. D. Engin, S. Orlov, M. Segev, A. Yariv, and G. Valley, Phys. Rev. Lett. 74, 1743 (1995); M. Goulkov, S. Odoulov, and R. Trott, Ukr. Phys. J. 36, 7, 1007 (1991).
3. D. Engin, S. Orlov, M. Segev, A. Yariv, and G. Valley, Phys. Rev. Lett. 74, 1743 (1995); M. Goulkov, S. Odoulov, and R. Trott, Ukr. Phys. J. 36, 7, 1007 (1991).
4. M. C. Cross and P. C. Hohenberg, Rev. Mod. Phys. 65, 851 (1993).
5. A. A. Zozulya, Opt. Lett. 16, 545 (1991); V. V. Eliseev, V. T. Tikchoncuk, and A. A. Zozulya, J. Opt. Soc. Am. B 8, 12 (1991).
6. A. A. Zozulya, Opt. Lett. 16, 545 (1991); V. V. Eliseev, V. T. Tikchoncuk, and A. A. Zozulya, J. Opt. Soc. Am. B 8, 12 (1991).
7. O. V. Lyubomudrov and V. V. Shkunov, Kvant. Elektron. (Moscow) 19, 1102 (1992); S. Sternklar, Opt. Lett. 20, 3 249 (1995).
8. O. V. Lyubomudrov and V. V. Shkunov, Kvant. Elektron. (Moscow) 19, 1102 (1992); S. Sternklar, Opt. Lett. 20, 3 249 (1995).
9. D. Shaw, Opt. Commun. 94, 458 (1992).
10. A. A. Zozulya, M. Saffman, and D. Z. Anderson, Phys. Rev. Lett. 73, 6,818 (1994).
11. M. Cronin-Golomb, Opt. Commun. 89, 276 (1992); M. Segev, D. Engin, A. Yariv, and G. C. Valley, Opt. Lett. 18, 1828 (1993); A. A. Zozulya, M. Saffman, and D. Z. Anderson, J. Opt. Soc. Am. B 12, 255 (1995); M. R. Belic, J. Leonardy, D. Timotijevic, and F. Kaiser, J. Opt. Soc. Am. B 12, 9 (1995).
12. M. Cronin-Golomb, Opt. Commun. 89, 276 (1992); M. Segev, D. Engin, A. Yariv, and G. C. Valley, Opt. Lett. 18, 1828 (1993); A. A. Zozulya, M. Saffman, and D. Z. Anderson, J. Opt. Soc. Am. B 12, 255 (1995); M. R. Belic, J. Leonardy, D. Timotijevic, and F. Kaiser, J. Opt. Soc. Am. B 12, 9 (1995).
13. M. Cronin-Golomb, Opt. Commun. 89, 276 (1992); M. Segev, D. Engin, A. Yariv, and G. C. Valley, Opt. Lett. 18, 1828 (1993); A. A. Zozulya, M. Saffman, and D. Z. Anderson, J. Opt. Soc. Am. B 12, 255 (1995); M. R. Belic, J. Leonardy, D. Timotijevic, and F. Kaiser, J. Opt. Soc. Am. B 12, 9 (1995).
14. M. Cronin-Golomb, Opt. Commun. 89, 276 (1992); M. Segev, D. Engin, A. Yariv, and G. C. Valley, Opt. Lett. 18, 1828 (1993); A. A. Zozulya, M. Saffman, and D. Z. Anderson, J. Opt. Soc. Am. B 12, 255 (1995); M. R. Belic, J. Leonardy, D. Timotijevic, and F. Kaiser, J. Opt. Soc. Am. B 12, 9 (1995).
15. P. Gunter and J.-P. Huignard, eds., Photorefractive Materials and Their Applications (Springer-Verlag, Berlin, 1989), Vol. 1, Chaps. 2 and 3.
16. N. Kukhtarev, Sov. Tech. Phys. Lett. 2, 438 (1976).
17. H. Kogelnik, Bell Syst. Tech. J. 48, 2909 (1969).
18. N. A. Korneev and S. L. Sochava, Opt. Commun. 115, 539 (1995).
19. M. Segev, D. Engin, A. Yariv, and G. C. Valley, Opt. Lett. 18, 956 (1993).
20. N. V. Bobodaev, V. V. Eliseev, L. I. Ivleva, A. S. Korshunov, S. S. Orlov, N. V. M. Polozkow, and A. A. Zozulya, J. Opt. Soc. Am. B 9, 1493 (1992).
21. A. P. Mazur, A. D. Novikov, S. G. Odulov, M. S. Soskin, and M. V. Vasnetov, J. Opt. Soc. Am. B 10, 1408 (1993); Q. B. He, P. Yeh, C. Gu, and R. R. Neurgaonkar, J. Opt. Soc. Am. B 9, 114 (1992).
22. A. P. Mazur, A. D. Novikov, S. G. Odulov, M. S. Soskin, and M. V. Vasnetov, J. Opt. Soc. Am. B 10, 1408 (1993); Q. B. He, P. Yeh, C. Gu, and R. R. Neurgaonkar, J. Opt. Soc. Am. B 9, 114 (1992).
23. M. Saffman, D. Montgomer, A. A. Zozulya, K. Kuroda, and D. Z. Anderson, Phys. Rev. A 48, 4, 3209 (1993).
24. W. van Saarloos and P. C. Hohenberg, Physica D 56, 303 (1992).
25. M. C. Cross, Phys. Rev. Lett. 57, 2935 (1986).
26. W. van Saarloos, Phys. Rev. A 39, 6367 (1989).
27. A. Kolmogorov, I. Petrovsky, and N. Piskunov, Bull. Univ. Moscow, Ser. Int. Sec. A 1, 1 (1937); D. G. Aronson and H. F. Weinberger, Partial Differential Equations and Related Topics, J. A. Goldstein, ed. (Springer-Verlag, Heidelberg, 1975), p. 5.
28. A. Kolmogorov, I. Petrovsky, and N. Piskunov, Bull. Univ. Moscow, Ser. Int. Sec. A 1, 1 (1937); D. G. Aronson and H. F. Weinberger, Partial Differential Equations and Related Topics, J. A. Goldstein, ed. (Springer-Verlag, Heidelberg, 1975), p. 5.
29. E. M. Lifshitz and L. P. Ptiaevskii, Physical Kinetics (Pergamon, New York, 1981), Vol. 10, Chap. 6.
30. A. C. Newell, Lect. Appl. Math. 15, 157 (1974).