Derivation of the effective nonlinear Schräodinger equations for dark and power law spatial plasmon-polariton solitons using nano self-focusing

Progress In Electromagnetics Research B

Volumn , Issue 29, 2011, Pages 83-103

  Crutcher, Sihon H ^a   Osei, A ^b  

^a Electronics and Computer Technology Function   (United States)

^b OAKWOOD UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ELECTRIC FIELDS; MAXWELL EQUATIONS; NONLINEAR OPTICS; PLASMONIC METAMATERIALS; SOLITONS; SURFACE PLASMONS;

BEAM DYNAMICS; METAL-DIELECTRIC INTERFACE; NANOWAVEGUIDES; PLASMON-POLARITONS; PLASMONIC INTERACTIONS; SELF-DEFOCUSING; SPATIAL SOLITONS; SUB-WAVELENGTH;

NONLINEAR EQUATIONS;

EID: 79953268442     PISSN: 19376472     EISSN: None     Source Type: Journal    
DOI: 10.2528/pierb11020306     Document Type: Article

References (34)

1. Kivshar, Y. S. and G. P. Agrawal, Optical Solitons from Fibers to Photonic Crystals, Academic Press, 2003.
2. Stegeman, G. I., L. Jankovic, H. Kim, S. Polyakov, S. Carrasco, L. Torner, C. Bosshard, P. Gunter, M. Katz, and D. Eger, "Generation of and interactions between quadratic spatial solitons in non-critically-phase-matched crystals," Journal of Nonlinear Optical Physics & Materials, Vol. 12, No. 4, 447-466, 2003.
3. Hasegawa, A. and Y. Kodama, Solitons in Optical Communica-tions, Oxford University Press, 1995.
4. Reitze, A. D., H. Weiner, and D. E. Leaird, "High power femtosecond optical pulse compression using spatial solitons," Optics Letters, Vol. 16, 1409-1411,1991.
5. Scheuer, J. and M. Orenstein, "Interactions and switching of spatial soliton pairs in the vicinity of a nonlinear interface," Optics Letters, Vol. 24, 1735-1737, 1999.
6. Pramono, Y. H., M. Geshiro, and T. Kitamura, "Optical Logic OR-AND-NOT and NOR Gates in waveguides consisting of nonlinear material," IEICE Transactions on Electronics, Vol. 11, 1755-1762, 2000.
7. Gisin, B. and B. A. Malomed, "One and two dimensional subwavelength solitons in saturable media," Journal of Optical Society of America B, Vol. 18, 1356-1361, 2001.
8. Gisin, B. and B. A. Malomed, "Subwavelength spatial solitons in optical media with non-Kerr nonlinearities," Journal of Optics A: Pure and Applied Optics, Vol. 3, 284-290, 2001.
9. Sarid, D. and W. Challener, Modern Introduction to Surface Plasmons, Cambridge Press, 2010.
10. Maier, S. A., Plasmonics: Fundamentals and Applications, Springer-Verlag, Berlin, 2007.
11. Bozhevolnyi, S. I., Plasmonic Nanoguides and Circuits, Pan Stanford Publ., Singapore, 2009.
12. Calzzani, F. A., R. Sileshi, A. Kassu, J. M. Taguenang, A. Chowdhury, A. Sharma, P. B. Ruffn, C. Brantley, and E. Edwards, "Detection of residual traces of explosives by surface enhance Raman scattering using gold coated substrates produced by nanospheres imprint technique," Proceedings of SPIE, Vol. 6949, 69451O, 2008.
13. Vincenti, M. A., et al., "Enhanced transmission and second har-monic generation from subwavelength slits on metal substrates," Proceedings of SPIE, Vol. 6987, 698700, 2008.
14. Scalora, M., G. D'Aguanno, N. Mattiucci, M. J. Bloemer, D. De Ceglia, M. Centini, A. Mandatori, C. Sibilia, N. Akozbek, M. G. Cappeddu, M. Fowler, and J. W. Haus, "Negative refraction and sub-wavelength focusing in the visible range using transparent metallo-dielectric stacks," Optics Express, Vol. 15, No. 508, 2007.
15. Davoyan, A. R., I. V. Shadrivov, and Y. S. Kivshar, "Self-focusing and spatial plasmon-polariton solitons," Optics Express, Vol. 17, No. 24, 21732-21737, 2009.
16. Edwards, M., S. H. Crutcher, M. D. Aggarwal, A. K. Batra, H. M. Jaenisch, A. J. Osei, and S. R. Bairavarasu, "Optical solitons in inhomogeneous media," Proceedings of SPIE, Vol. 5525, 2004.
17. Crutcher, S. H., M. Edwards, and A. Osei, "Optical spatial solitons, the power law, and the swing effect," Proceedings of SPIE, Vol. 7056, 70560Q-1, 2008.
18. Crutcher, S. H., M. E. Edwards, A. Biswas, and M. D. Aggarwal, "Oscillatory behavior of spatial soltions in two dimensional waveguides and stationary temporal power law solitons in optical fibers," Journal of Electromagnetic Waves and Applications, Vol. 20, No. 6, 761-772, 2006.
19. Trillo, S. and W. Torruellas, Optical Spatial Solitons, Springer Series in Optical Sciences, 2001.
20. Prade, B., J. Y. Vinet, and A. Mysyrowicz, "Guided optical waves in planar heterostructure with negative dielectric constant," Physical Review B, Vol. 44, No. 24, 556-572, 1991.
21. Bliokh, K. Y., Y. P. Bliokh, and A. Ferrando, "Resonant plasmon-soliton interaction," Physical Review A, Vol. 79, No. 24, 041803(R), 2009.
22. Feigenbaum, E. and M. Orenstein, "Plasmon-soliton," Optics Letters, Vol. 32, No. 6, 674-676, 2007.
23. Snyder, A. W. and D. J. Mitchell, "Spatial solitons of power law nonlinearity," Optics Letters, Vol. 18, No. 2, 101-103, 1993.
24. Mihalacke, D., M. Bertolotti, and C. Sibilia, Progress in Optics XXVII, E. Wolf (ed.), 228-309, Elsevier, Amsterdam, 1989.
25. Biswas, A., "Quasi-stationary optical solitons with power law nonlinearity," Journal of Physics A: Mathematical and Theoretical, Vol. 36, 4581-4589, 2003.
26. Biswas, A. and S. Konar, Introduction to Non-Kerr Law Optical Solitons, Chapman & Hall, 2007.
27. Sturdevant, B., D. A. Lott, and A. Biswas, "Topological solitons in 1+2 dimensions with time-dependent coeffcients," Progress In Electromagnetics Research Letters, Vol. 10, 69-75, 2009.
28. Biswas, A., "1-soliton solution of (1 + 2)-dimensional nonlinear SchrÄodinger's equation in dual power law media," Physics Letters A, Vol. 372, 5941-5943, 2008.
29. Biswas, A., "Optical solitons in a parabolic law media with fourth order dispersion," Applied Mathematics and Computation, Vol. 208, 299-302, 2009.
30. Biswas, A., "1-soliton solution of 1 + 2 dimensional nonlinear SchrÄodinger's equation in power law media," Communication in Nonlinear Science and Numerical Simulations, Vol. 14, 1830-1833, 2009.
31. Boardman, A. D., G. S. Cooper, A. A. Maradudin, and T. P. Shen, "Surface-polariton solitons," Physical Review B, Vol. 34, 8273-8278, 1986.
32. Agranovich, V. M., V. S. Babichenko, and V. Ya Chernyak, "Nonlinear surface polaritons," Soviet Physics. JETP Letters, Vol. 32, 512-515, 1980.
33. Stegeman, G. H., C. T. Seaton, J. Ariyasu, R. F. Wallis, and A. A. Maradudin, "Nonlinear electromagnetic waves guided by a single interface," Journal of Applied Physics, Vol. 58, 2453-2459, 1985.
34. Boardman, A. D., G. H. Stegeman, A. A. Maradudin, T. Twardowski, and E. M. Wright, "Exact theory of nonlinear p-polarized optical waves," Physical Review A, Vol. 35, 1159-1164, 1987.