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Abstract <p>Boundary value problems for the system of Maxwell’s equations are fundamental in electrodynamics. Recently, interest has arisen in problems with the presence of a thin graphene layer on the surface, which changes the field-matching conditions. In this paper, an integro-differential equation is obtained for a vector boundary value problem of diffraction of an electromagnetic wave by a graphene-coated inhomogeneous dielectric body. The existence and uniqueness of a solution of the integro-differential equation, which can be called a surface-volume equation, is proved.</p>

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On the Existence and Uniqueness of the Solution of an Integro-Differential Equation in the Problem of Diffraction of an Electromagnetic Wave by a Graphene-Coated Inhomogeneous Dielectric Body

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • Yu. G. Smirnov

摘要

Abstract

Boundary value problems for the system of Maxwell’s equations are fundamental in electrodynamics. Recently, interest has arisen in problems with the presence of a thin graphene layer on the surface, which changes the field-matching conditions. In this paper, an integro-differential equation is obtained for a vector boundary value problem of diffraction of an electromagnetic wave by a graphene-coated inhomogeneous dielectric body. The existence and uniqueness of a solution of the integro-differential equation, which can be called a surface-volume equation, is proved.