Full vectorial analysis of nonlinear-optical waveguides

Journal of the Optical Society of America B: Optical Physics

Volumn 5, Issue 12, 1988, Pages 2494-2501

  Hayata, Kazuya ^a   Koshiba, Masanori ^a  

^a HOKKAIDO UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042429080     PISSN: 07403224     EISSN: None     Source Type: Journal    
DOI: 10.1364/JOSAB.5.002494     Document Type: Article

References (12)

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3. M. Maradudin, “Nonlinear surface electromagnetic waves,” in Optical and Acoustic Waves in Solids—Modern Topics, M. Borissov, ed. (World Scientific, Singapore, 1983), pp. 72-142.
4. A. D. Boardman, A. A Maradudin, G. I. Stegeman, T. T. wardowski, and E. M. Wright, “Exact theory of nonlinear p-polar-ized optical waves,” Phys. Rev. A 35, 1159-1164 (1987).
5. O. C. Zienkiewicz, The Finite Element Method, 3rd ed. (McGraw-Hill, London, 1977).
6. M. Koshiba, K. Hayata, and M. Suzuki, “Vectorial finite-ele-ment formulation without spurious modes for dielectric waveguides,” Trans. Inst. Electron. Commun. Eng. Jpn. E67, 191196 (1984).
7. M. A. Rahman and J. B. Davies, “Penalty function improvement of waveguide solution by finite elements,” IEEE Trans. Microwave Theory Tech. MTT-32, 922-928 (1984).
8. M. Koshiba, K. Hayata, and M. Suzuki, “Study of spurious solutions of finite-element methods in the three-component magnetic field formulation for dielectric waveguide problems,” Electron. Commun. Jpn. Part 1 68, 114-119 (1985).
9. K. Hayata, M. Nagai, and M. Koshiba, “Finite-element formalism for nonlinear slab-guided waves,” IEEE Trans. Microwave Theory Tech. MTT-36, 1207-1215 (1988).
10. K. Hayata and M. Koshiba, “Symmetry breaking instabilities and bifurcation phenomena in dielectric slab waveguides containing saturable nonlinear media,” presented at the Second Optoelectronics Conference, Tokyo, 1988.
11. K. Hayata and M. Koshiba, “Self-focusing instability and chaotic behavior of nonlinear optical waves guided by slab structures,” Opt. Lett, (to be published).
12. H. Haken, “The adiabatic elimination principle in dynamical theories,” in Optical Instabilities, R. W. Boyd, M. G. Raymer, and L. M. Narducci, eds. (Cambridge U. Press, Cambridge, 1986), pp. 1-19.