Perturbation Theory in the Problem of Light Scattering by a Dielectric Body


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Abstract

A modified Born approximation suitable for the problem of electromagnetic wave scattering by a dielectric body is constructed. A system of integral equations including exact boundary conditions at the surface is derived. It is shown that a modified series converges to the known analytical solution for the problem of a wave incident normally on a cylinder. The reason for the inapplicability of the quantum-mechanical Born approximation in optics is discussed.

About the authors

A. V. Nemykin

Institute of Automation and Electrometry, Siberian Branch; Novosibirsk State University

Email: shapiro@iae.nsk.su
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

A. S. Bereza

Institute of Automation and Electrometry, Siberian Branch; Novosibirsk State University

Email: shapiro@iae.nsk.su
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

D. A. Shapiro

Institute of Automation and Electrometry, Siberian Branch; Novosibirsk State University

Author for correspondence.
Email: shapiro@iae.nsk.su
Russian Federation, Novosibirsk, 630090; Novosibirsk, 630090

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