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Accurate solution and characteristics for electromagnetic wave propagation in time-varying media. (English) Zbl 1182.35210

Summary: Characteristics of wave propagation in some time-varying media have been studied. Using the separation of variables and hybrid method, accurate solutions of electromagnetic waves are obtained when and are monotone and periodic functions with respect to time. Furthermore, the classes of and on which wave equation has analytical solution are studied and listed. In time-varying media conditions, some time-varying parameters such as frequency shift, change of phase velocity, wave impedance are also discussed. The examples and rationale for the results are given.

MSC:

35Q60 PDEs in connection with optics and electromagnetic theory
78A40 Waves and radiation in optics and electromagnetic theory
35C05 Solutions to PDEs in closed form
35B30 Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs
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