Beam dynamics in PT symmetric optical lattices

Physical Review Letters

Volumn 100, Issue 10, 2008, Pages

  Makris, K G ^a   El Ganainy, R ^a   Christodoulides, D N ^a   Musslimani, Z H ^b  

^a UNIVERSITY OF CENTRAL FLORIDA   (United States)

^b FLORIDA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFRACTION; EIGENVALUES AND EIGENFUNCTIONS; GEOMETRY; REFRACTION; TWO DIMENSIONAL;

FLOQUET-BLOCH MODES; NONRECIPROCAL DIFFRACTION; OPTICAL LATTICES;

LATTICE CONSTANTS;

EID: 40849137868     PISSN: 00319007     EISSN: 10797114     Source Type: Journal    
DOI: 10.1103/PhysRevLett.100.103904     Document Type: Article

References (30)

1. C.M. Bender and S. Boettcher, Phys. Rev. Lett. 80, 5243 (1998). PRLTAO 0031-9007 10.1103/PhysRevLett.80.5243
2. C.M. Bender, D.C. Brody, and H.F. Jones, Phys. Rev. Lett. 89, 270401 (2002); PRLTAO 0031-9007 10.1103/PhysRevLett.89.270401
3. C.M. Bender, Am. J. Phys. 71, 1095 (2003); AJPIAS 0002-9505 10.1119/1.1574043
4. Z. Ahmed, Phys. Lett. A 282, 343 (2001). PYLAAG 0375-9601 10.1016/S0375-9601(01)00218-3
5. C.M. Bender, D.C. Brody, H.F. Jones, and B.K. Meister, Phys. Rev. Lett. 98, 040403 (2007). PRLTAO 0031-9007 10.1103/PhysRevLett.98.040403
6. M. Znojil, Phys. Lett. A 285, 7 (2001); PYLAAG 0375-9601 10.1016/S0375-9601(01)00301-2
7. A. Mostafazadeh, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 43, 3944 (2002). 10.1063/1.1489072
8. N. Moiseyev, Phys. Rep. 302, 212 (1998); PRPLCM 0370-1573 10.1016/S0370-1573(98)00002-7
9. N. Moiseyev and S. Friedland, Phys. Rev. A 22, 618 (1980). PLRAAN 1050-2947 10.1103/PhysRevA.22.618
10. I.Y. Goldsheid and B.A. Khoruzhenko, Phys. Rev. Lett. 80, 2897 (1998); PRLTAO 0031-9007 10.1103/PhysRevLett.80.2897
11. B. Bagchi and C. Quesne, Phys. Lett. A 273, 285 (2000); PYLAAG 0375-9601 10.1016/S0375-9601(00)00512-0
12. H. Markum, R. Pullirsch, and T. Wettig, Phys. Rev. Lett. 83, 484 (1999). PRLTAO 0031-9007 10.1103/PhysRevLett.83.484
13. M.V. Berry and H.J. O'Dell, J. Phys. A JPHAC5 0305-4470 31, 2093 (1998); 10.1088/0305-4470/31/8/019
14. M.V. Berry, J. Phys. A JPHAC5 0305-4470 31, 3493 (1998). 10.1088/0305-4470/31/15/014
15. D.O. Chudesnikov and V.P. Yakovlev, Laser Phys. 1, 110 (1991); LAPHEJ 1054-660X
16. M.K. Oberthaler, Phys. Rev. Lett. 77, 4980 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.4980
17. C. Keller, Phys. Rev. Lett. 79, 3327 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.3327
18. R. Shankar, Principles of Quantum Mechanics (Plenum Press, New York, 1994).
19. D.N. Christodoulides, F. Lederer, and Y. Silberberg, Nature (London) NATUAS 0028-0836 424, 817 (2003). 10.1038/nature01936
20. A. Yariv, Optical Electronics in Modern Communications (Oxford University Press, Oxford, 1997);
21. P. Yeh, Introduction to Photorefractive Nonlinear Optics, Wiley Series in Pure and Applied Optics (Wiley, New York, 2001).
22. C.M. Bender, G.V. Dunne, and P.N. Meisinger, Phys. Lett. A 252, 272 (1999); PYLAAG 0375-9601 10.1016/S0375-9601(98)00960-8
23. H.F. Jones, Phys. Lett. A 262, 242 (1999); PYLAAG 0375-9601 10.1016/S0375-9601(99)00672-6
24. Z. Ahmed, Phys. Lett. A 286, 231 (2001); PYLAAG 0375-9601 10.1016/S0375-9601(01)00426-1
25. J.K. Boyd, J. Math. Phys. (N.Y.) JMAPAQ 0022-2488 42, 15 (2001). 10.1063/1.1326458
26. Yuh-Jen Cheng, C.G. Fanning, and A.E. Siegman, Phys. Rev. Lett. 77, 627 (1996); PRLTAO 0031-9007 10.1103/PhysRevLett.77.627
27. A.M. van der Lee, N.J. van Druten, A.L. Mieremet, M.A. van Eijkelenborg, A.M. Lindberg, M.P. van Exter, and J.P. Woerdman, Phys. Rev. Lett. 79, 4357 (1997). PRLTAO 0031-9007 10.1103/PhysRevLett.79.4357
28. B. Bagchi, C. Quesne, and M. Znojil, Mod. Phys. Lett. A 16, 2047 (2001). MPLAEQ 0217-7323 10.1142/S0217732301005333
29. R. El-Ganainy, K.G. Makris, D.N. Christodoulides, and Z.H. Musslimani, Opt. Lett. OPLEDP 0146-9592 32, 2632 (2007); 10.1364/OL.32.002632
30. Z.H. Musslimani, K.G. Makris, R. El-Ganainy, and D.N. Christodoulides, Phys. Rev. Lett. PRLTAO 0031-9007 100, 030402 (2008). 10.1103/PhysRevLett.100. 030402