Invariant Imbedding Theory of Wave Propagation in Stratified Complex Media

다국어 초록 (Multilingual Abstract)

We review a generalized version of the invariant imbedding theory of wave propagation, which
has been developed by us recently, in various kinds of stratified media. The main idea of the method
is to transform the boundary value problem of the original wave equation into an equivalent initial
value problem of coupled ordinary dierential equations. This allows an exact and very efficient
numerical calculation of the re
ection and the transmission coefficients and of the wave functions
inside inhomogeneous media. We demonstrate the advantages of the method over other theoretical
methods by applying it to several interesting cases. In the rst case, we apply the method to the
propagation of electromagnetic waves in random dielectric media. Next, we give a short discussion
of the application of our method to wave propagation in nonlinear inhomogeneous media. Finally,
we discuss the generalization of the invariant imbedding method to cases where several coupled
waves propagate in arbitrarily-inhomogeneous stratied media and apply it to electromagnetic wave
propagation in layered chiral media.

다국어 초록 (Multilingual Abstract)

We review a generalized version of the invariant imbedding theory of wave propagation, which
has been developed by us recently, in various kinds of stratified media. The main idea of the method
is to transform the boundary value problem of the original wave equation into an equivalent initial
value problem of coupled ordinary dierential equations. This allows an exact and very efficient
numerical calculation of the re
ection and the transmission coefficients and of the wave functions
inside inhomogeneous media. We demonstrate the advantages of the method over other theoretical
methods by applying it to several interesting cases. In the rst case, we apply the method to the
propagation of electromagnetic waves in random dielectric media. Next, we give a short discussion
of the application of our method to wave propagation in nonlinear inhomogeneous media. Finally,
we discuss the generalization of the invariant imbedding method to cases where several coupled
waves propagate in arbitrarily-inhomogeneous stratied media and apply it to electromagnetic wave
propagation in layered chiral media.

참고문헌 (Reference)

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17 Chul-Sik Kee, "Functional Optical Filters Based on Two-Dimensional Photonic Crystals" 한국물리학회 48 (48): 978-981, 2006

18 J. B. Kim, "Enhancement of Magneto-Optical Properties of the One Dimensional Magnetic Photonic Crystals of a Co2MnSi Film" 한국물리학회 48 (48): 1237-1241, 2006

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