Splitting methods and invariant imbedding for time-independent wave propagation in focusing media and wave guides

DOI10.1063/1.528138zbMath0665.35068OpenAlexW1985988409MaRDI QIDQ3816457

J. W. Evans

Publication date: 1988

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.528138

zbMATH Keywords

invariant imbeddingsplitting methodsbackscatteringrefractive indexreflection operatorswave guidespropagation modesabstract transmissionfocusing mediasplittings of the wave fieldtime-independent wave propagation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Antennas, waveguides in optics and electromagnetic theory (78A50) Partial differential equations of mathematical physics and other areas of application (35Q99)

Related Items (1)

Frequency domain wave-splitting techniques for plane stratified bianisotropic media

Cites Work

• Bremmer series that correct parabolic approximations
• Higher-order parabolic approximations to time-independent wave equations
• Derivation and application of extended parabolic wave theories. I. The factorized Helmholtz equation
• Splitting methods for time-independent wave propagation in random media
• Nonorthogonal Optical Waveguides and Resonators
• The W.K.B. approximation as the first term of a geometric‐optical series

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