Equations of Mathematical Diffraction Theory

ISBN-13: 9780367393809 / Angielski / Miękka / 2019 / 308 str.

Mezhlum A. Sumbatyan; Antonio Scalia

Opis

Equations of Mathematical Diffraction Theory is a comprehensive treatment of comparative analysis and the development of efficient analytical methods for solving equations of mathematical diffraction theory. It considers some general properties of integral and differential operators in the context of the linear theory of diffraction processes, gives estimates of the operator norms for various ranges of the wave number variation, and studies the spectral properties of these operators. The author also presents a new analytical method for constructing asymptotic solutions of boundary integral equations in mathematical diffraction theory for the high-frequency case.

Spis treści

Some Preliminaries from Analysis and the Theory of Wave Processes. Integral Equations of Diffraction Theory for Obstacles in Unbounded Medium. Wave Fields in a Layer of Constant Thickness. Analytical Methods for Simply Connected Bounded Domains. Integral Equations in Diffraction by Linear Obstacles. Short-Wave Asymptotic Methods on the Basis of Multiple Integrals. Inverse Problems of the Short-Wave Diffraction. Ill-Posed Equations of Inverse Diffraction Problems for Arbitrary Boundary. Numerical Methods for Irregular Operator Equations.

O autorze

Sumbatyan, Mezhlum A.; Scalia, Antonio