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The method of equivalent substitutions, applied for the exact analytical solution of multilayer periodic structures with coupled wave thicknesses and specified amplitude-phase characteristics synthesis.

A. E. Zhitelev, A. V. Kozar

Memoirs of the Faculty of Physics 2022. N 4.

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Annotation

Based on the method of equivalent substitutions and the method of coupled wave thicknesses, a numerical analytical solution to the problem of calculations of the thickness values of the interference anti-reflective structure ("π structure") for an arbitrary number of layers is obtained. Exact algorithm is obtained that make it possible to synthesize antireflection structures providing a predefined reflection coefficient on the entire continuous set of values from 0 to 1 for any real values of the refractive indices of both matched media and materials of layers of such structures. The correctness of the obtained algorithm and the efficiency of the method are confirmed by a numerical experiment.

Received: 2022 May 31
Approved: 2022 August 9
PACS:
41.20.-q Applied classical electromagnetism
Authors
A. E. Zhitelev, A. V. Kozar
$^1$Faculty of Physics, Moscow State University. M.V. Lomonosov Moscow
Issue 4, 2022

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