To the analyticity of the effective refractive index


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Abstract

The possibility to describe the plane-wave propagation in a periodic layered medium in terms of effective parameters is considered. It is shown that, for a finite system, the effective refractive index can be determined with the help of the amplitude transmission coefficient. The analyticity of the effective refractive index as a function of frequency is studied. It is shown that the effective refractive index is an analytic function of frequency, and the Kramers–Kronig relations, which connect the real and imaginary parts, are found.

About the authors

R. S. Puz’ko

Moscow Institute of Physics and Technology; Institute of Theoretical and Applied Electrodynamics

Author for correspondence.
Email: roman998@mail.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 125412

A. M. Merzlikin

Moscow Institute of Physics and Technology; Institute of Theoretical and Applied Electrodynamics

Email: roman998@mail.ru
Russian Federation, Dolgoprudnyi, Moscow oblast, 141700; Moscow, 125412

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