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Time-domain wave splitting and propagation in dispersive media

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Abstract

Time-domain left- and right-moving waves are identified in a homogeneous dispersive medium through a diagonalization of Maxwell’s equations. This exact physical wave splitting is then used in the derivation of a differential equation for the propagator kernel, which can be easily solved numerically by a simple integration. Numerical results for two particular dispersion models (Lorentz and Debye models) are presented. It is also shown how the physical wave splitting can be used in the determination of the scattering of a plane-wave pulse from a dispersive half-space. Explicit expressions are given for the reflection kernels for the Lorentz and Debye models.

© 1996 Optical Society of America

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Equations (56)

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