Method of images in optical discrete systems

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Volumn 73, Issue 3, 2006, Pages

  Makris, Konstantinos G ^a   Christodoulides, Demetrios N ^a  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY GEOMETRIES; OPTICAL DISCRETE SYSTEMS; SEMI-INFINITE LATTICES; TWO-DIMENSIONAL BOUNDED ARRAY STRUCTURES;

CRYSTAL LATTICES; IMAGE ANALYSIS; LIGHT PROPAGATION; OPTICAL WAVEGUIDES; RESONATORS;

OPTICAL SYSTEMS;

EID: 33645297098     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.73.036616     Document Type: Article

References (42)

1. A. L. Jones, J. Opt. Soc. Am. JOSAAH 0030-3941 55, 261 (1965).
2. D. N. Christodoulides, F. Lederer, and Y. Silberberg, Nature NATUAS 0028-0836 10.1038/nature01936 424, 817 (2003).
3. N. Stefanou and A. Modinos, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.57.12127 57, 12127 (1998);
4. A. Yariv, Y. Xu, R. K. Lee, and A. Scherer, Opt. Lett. OPLEDP 0146-9592 10.1038/45344 24, 711 (1999);
5. D. N. Christodoulides and N. K. Efremidis, Opt. Lett. OPLEDP 0146-9592 27, 568 (2002).
6. S. Somekh, E. Garmire, A. Yariv, H. L. Garvin, and R. G. Hunsperger, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.1654468 22, 46 (1973).
7. H. S. Eisenberg, Y. Silberberg, R. Morandotti, A. R. Boyd, and J. S. Aitchison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.81.3383 81, 3383 (1998).
8. T. Pertsch, U. Peschel, F. Lederer, J. Burghoff, M. Will, S. Nolte, and A. Tünnermann, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.000468 29, 468 (2004).
9. J. W. Fleischer, M. Segev, N. K. Efremidis, and D. N. Christodoulides, Nature NATUAS 0028-0836 10.1038/nature01452 422, 147 (2003).
10. D. N. Christodoulides and R. I. Joseph, Opt. Lett. OPLEDP 0146-9592 13, 794 (1988).
11. J. Meier, G. I. Stegeman, D. N. Christodoulides, Y. Silberberg, R. Morandotti, H. Yang, G. Salamo, M. Sorel, and J. S. Aitchison, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.92.163902 92, 163902 (2004).
12. M. A. Ablowitz and Z. H. Musslimani, Physica D PDNPDT 0167-2789 10.1016/S0167-2789(03)00226-4 184, 276 (2003).
13. N. K. Efremidis, S. Sears, D. N. Christodoulides, J. W. Fleischer, and M. Segev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.66.046602 66, 046602 (2002).
14. T. Peschel, U. Peschel, and F. Lederer, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.57.1127 57, 1127 (1998).
15. R. Iwanow, R. Schiek, G. I. Stegeman, T. Pertsch, F. Lederer, Y. Min, and W. Sohler, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.93.113902 93, 113902 (2004).
16. E. Ultanir, G. I. Stegeman, and D. N. Christodoulides, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.000845 29, 845 (2004).
17. A. Fratalocchi, G. Assanto, K. Brzdakiewicz, and M. Karpierz, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.29.001530 29, 1530 (2004).
18. I. Tamm, Phys. Z. Sowjetunion PHZSAL 0369-9811 1, 733 (1932);
19. W. Shockley, Phys. Rev. PHRVAO 0031-899X 10.1103/PhysRev.56.317 56, 317 (1939).
20. D. Kossel, J. Opt. Soc. Am. JOSAAH 0030-3941 56, 1434 (1966)
21. J. A. Arnaud and A. A. Saleh, Appl. Opt. APOPAI 0003-6935 13, 2343 (1974).
22. P. Yeh, A. Yariv, and A. Y. Cho, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.89953 32, 104 (1978)
23. W. Ng, P. Yeh, P. C. Chen, and A. Yariv, Appl. Phys. Lett. APPLAB 0003-6951 10.1063/1.90049 32, 370 (1978);
24. P. Yeh, A. Yariv, and C. S. Hong, J. Opt. Soc. Am. JOSAAH 0030-3941 67, 423 (1977).
25. M. Miyagi and S. Nishida, Sci. Rep. Res. Inst. Tohoku Univ., 0371-2761 24, 53 (1972).
26. W. J. Tomlinson, Opt. Lett. OPLEDP 0146-9592 5, 323 (1980).
27. N. N. Akhmediev, V. I. Korneev, and Y. V. Kuz'menko, Sov. Phys. JETP SPHJAR 0038-5646 61, 62 (1985).
28. K. G. Makris, S. Suntsov, D. N. Christodoulides, G. I. Stegeman, and A. Hache, Opt. Lett. OPLEDP 0146-9592 10.1364/OL.30.002466 30, 2466 (2005).
29. J. D. Jackson, Classical Electrodynamics, 3rd ed. (Wiley, New York, 1999).
30. R. Weinstock, Am. J. Phys. AJPIAS 0002-9505 40, 1289 (1970);
31. F. O. Goodman, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1986453 40, 92 (1972);
32. A. H. Nayfeh and M. H. Rice, Am. J. Phys. AJPIAS 0002-9505 10.1119/1.1986576 40, 469 (1972).
33. S. V. Kukhlevsky, G. Nyitray, and V. L. Kantsyrev, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.64.026603 64, 026603 (2001).
34. M. I. Molina, Phys. Rev. B PRBMDO 0163-1829 10.1103/PhysRevB.71.035404 71, 035404 (2005).
35. J. P. Keener, Principles of Applied Mathematics, 3rd ed., (Wiley, New York, 1999).
36. W. E. Boyce and R. C. DiPrima, Elementary Differential Equations and Boundary Value Problems, 6th ed., (Wiley, New York, 1997).
37. P. Yeh, Optical Waves in Layered Media (Wiley, New York, 1998).
38. S. Darmanyan, A. Kobyakov, and F. Lederer, JETP JTPHES 1063-7761 10.1134/1.558526 86, 682 (1998).
39. E. W. Laedke, O. Kluth, and K. H. Spatschek, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.54.4299 54, 4299 (1996);
40. P. G. Kevrekidis, A. R. Bishop, and K. Ø. Rasmussen, Phys. Rev. E PLEEE8 1063-651X 10.1103/PhysRevE.63.036603 63, 036603 (2001).
41. S. Suntsov, K. G. Makris, D. N. Christodoulides, G. I. Stegeman, A. Hache, R. Morandotti, H. Yang, G. Salamo, and M. Sorel, Phys. Rev. Lett. PRLTAO 0031-9007 10.1103/PhysRevLett.96.063901 96, 063901 (2006).
42. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products, 6th ed. (Academic, New York, 2000).