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Matematicheskoe modelirovanie, 1990, Volume 2, Number 6, Pages 90–96
(Mi mm2400)
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Computational methods and algorithms
On the Kramers–Kronig dispersion relations for the complex reflection coefficient of a layered dispersive medium
N. A. Denisova, A. V. Rezvov Gor'kii State University
Abstract:
A possibility to obtain the frequency dependence of phase $\varphi(\omega)$ of the complex reflection
coefficient form the spectral dependence of its modulus $\rho(\omega)$ is considered for the case of a plasma–like flat–layered dispersive medium.
Basing on the study of analytical properties of the reflection coefficient $r(\omega)=\rho(\omega)\exp[i\varphi(\omega)]$ the sufficient conditions for the absence of zeros of the function $r(\omega)$ in the upper half plane of the complex frequency $\omega$ are formulated. In these conditions a standard amplitude-phase dispersion relation of Kramers–Kronig used for analysis of a homogeneous media holds true.
Received: 13.11.1989
Citation:
N. A. Denisova, A. V. Rezvov, “On the Kramers–Kronig dispersion relations for the complex reflection coefficient of a layered dispersive medium”, Matem. Mod., 2:6 (1990), 90–96
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Abstract page: | 756 | Full-text PDF : | 385 | References: | 1 | First page: | 2 |
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