Reciprocity relations for interference coatings
https://doi.org/10.29235/1561-2430-2023-59-2-158-167
Abstract
By analyzing the wave equations, the coincidence of the energy reflection and transmission coefficients for the s- and p-polarization waves is herein substantiated when they are incident on the interference coating from opposite directions. The coating can be characterized by an arbitrary spatial profile of the refractive index, the limiting condition is the absence of optical losses in it. Reciprocity relations are obtained for the energy reflection and transmission coefficients of natural light for a structure in the form of a plane-parallel dielectric plate with interference coatings on its opposite sides. It is shown that when a structure with an absorbing plate is illuminated in opposite directions, the energy reflection coefficients can differ, while the energy transmission coefficients always coincide. Reciprocity relations are applied to the calculation of broadband antireflective interference coatings consisting of alternate layers Nb2O5 and SiO2 deposited on a polycarbonate plate. As a result, their correctness is confirmed and it is shown that the optimized antireflection two-sided interference coating provides approximately a five times lower averaged energy reflection coefficient compared to the optimized one-sided coating.
About the Authors
A. B. Sotsky
Mogilev State A. Kuleshov
University
Belarus
Belarus
Alexander B. Sotsky – Dr. Sc. (Physics and Mathematics), Professor, Professor of the Department of Physics
and Computer Technologies
1, Kosmonavtov Str., 212022, Mogilev
E. A. Chudakov
Mogilev State A. Kuleshov University
Belarus
Belarus
Evgeny A. Chudakov – Postgraduate Student, Junior
Researcher
1, Kosmonavtov Str., 212022, Mogilev
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