Propagation characteristics of lossy nonlinear waveguides using perturbation approaches

Electromagnetics

Volumn 22, Issue 8, 2002, Pages 667-674

  Shabat, M M ^a   Barakat, N M ^a   Jager D ^b  

^a ISLAMIC UNIVERSITY OF GAZA   (Palestine)

^b UNIVERSITY OF DUISBURG ESSEN   (Germany)

Author keywords

Lossy waveguide; Nonlinear optics; Waveguides

Indexed keywords

EIGENVALUES AND EIGENFUNCTIONS; ELECTROMAGNETIC DISPERSION; ELECTROMAGNETIC WAVE ATTENUATION; LIGHT PROPAGATION; METALLIC FILMS; NONLINEAR OPTICS; PERTURBATION TECHNIQUES; THIN FILMS;

NONLINEAR WAVEGUIDES;

OPTICAL WAVEGUIDES;

EID: 0036858188     PISSN: 02726343     EISSN: None     Source Type: Journal    
DOI: 10.1080/02726340290084193     Document Type: Article

References (23)

1. Anyasu, J., C.Y. Seaton, and G.T. Stegeman. 1985. Power-dependent attenuation of nonlinear waves guided by thin films. Appl. Phys. Lett. 47:355-357.
2. Chen, Y. 1991. Nonlinear fibers with arbitrary nonlinearity. J. Opt. Soc. Amer. B 8:2338-2341.
3. Churchill, R.V., and J.W. Brown. 1984. Complex variable and applications. New York: Micro-Hill.
4. Conte, S.D., and C. De Boon 1987. Elementary numerical analysis. Singapore: MCGraw-Hill.
5. IMSL Library Reference Manual. 1979. International mathematical statistical libraries, 7th ed. Houston, TX.
6. Ma C.S., and S.Y. Liu. 1990. Effect of metal cladding thickness on guided-mode optical wave-guides. Opt. Soc. Am. A. 7:1577-1581.
7. Ma, J., and I. Wolf. 1995. Propagation characteristics of TE waves guided by thin films bounded by nonlinear media. IEEE Trans. on Microwave Theory and Tech. 43:790-795.
8. MINPACK Documentation. 1979. Applied mathematical division. Argonne, IL: Argonne National Laboratory.
9. NAG FORTRAN Library Manual Mark6. 1977. Numerical algorithm group. Downers Grove, IL.
10. Nayfeh, A.H. 1973. Perturbation methods. New York: Wiley.
11. Nayfeh, A.H. 1981. Introduction to perturbation techniques. New York: Wiley-Interscience.
12. Saiga, N. 1991. Calculation of TE modes in graded-index nonlinear optical waveguides with arbitrary profile of refractive index. J. Opt. Soc. Amer. B. 8:88-94.
13. Sewell, G. 1988. The numerical solution of ordinary and partial differential equations. San Diego: Academic Press.
14. Shabat, M.M., M.A. Abdel-Naby, N.M. Barakat, and D. Jäger. 1999a. Calculation of the complex propagation constant of nonlinear waves in a three-waveguide structure. J. Optical Commun. 20:666-702.
15. Shabat, M.M., M.A. Abdel-Naby, N.M. Barakat, and D. Jäger. 1999b. Metal clad multilayer wave-guide, circle chain convergent method, and two perturbation methods. International Journal of Infrared and Millimeter Waves 20(7): 1425-1440.
16. Shabat, M.M., M.A. Abdel-Naby, N.M. Barakat, and D. Jäger. 1999c. Numerical and analytical solution of dispersion equation in lossy nonlinear waveguiding system. Microwave and Opt. Technol. Letter 22(4):273-278.
17. Shabat, M.M., M.A. Abdel-Naby, N.M. Barakat, and D. Jäger. 1999d. A perturbation method for complex root finding on nonlinear electromagnetic waves. International Journal of Infrared and Millimeter Waves 20(7): 1389-1402.
18. She, S.X. 1990. Metal-clad multilayer dielectric waveguide: Accurate perturbation analysis. J. Opt. Soc. 9:1582-1590.
19. Stegeman, G.I., and C.T Seaton. 1985. Nonlinear integrated optics. Appl. Phys. Rev. 58:57-78.
20. Stegeman, G.I., J.D. Valera, C.T Seaton, J. Sipe, and A.A. Maradudin. 1984. Nonlinear s-polarized surface plasmon polaritions. Solid State Commun. 52:293-296.
21. Stegeman, G.I., E.M. Wright, C.T. Seaton, J.V. Moloney, T.P. Shen, A.A. Maradudin, and R.F. Wallis. 1986. Nonlinear slab-guided waves in non-Kerr like media. IEEE J. Quantum Electron. 22:977-983.
22. Torres, J.P., and L. Torner. 1993. Universal diagrams for TE waves guided by thin films bounded by nonlinear media. IEEE J. Quantum Electron. 29:917-925.
23. Zhao, A.P. 1995. Numerical modeling of TE and TM modes in lossy nonlinear optical waveguides. Opt. Quantum Electron. 27:735-740.