Logarithmic integral equations in electromagnetics/ Yu. V. Shestopalov,

Introduction 1. ELEMENTS OF THE THEORY OF INTEGRAL OPERATORS Integral operators with purely logarithmic kernel Integral operators in Hoelder spaces Logarithmic integral operators and Chebyshev polynomials Integral operators defined on a set of intervals Integral operators with fixed logarithmic singularities Elements of spectral theory Abstract pole pencils Logarithmic integral operators in Sobolev spaces Integral operators with kernels represented by series Methods of small parameter Approximate inversion Approximate semi-inversion 2. GENERALIZED POTENTIALS WITH LOGARITHMIC KERNELS Generalized potentials Green's potentials Examples for canonical domains Half plane Rectangle Circle Exterior of a circle Ring 3. SUMMATION OPERATORS Matrix representation Galerkin methods and basis of Chebyshev polynomials Summation operators in the spaces of sequences Matrix representation of logarithmic integral operators 4. BOUNDARY VALUE PROBLEMS Formulation of the problems Uniqueness and existence theorems Canonical problems: diffraction by strips and slots Diffraction by a slot Diffraction by a strip Diffraction by a screen with a rectangular slotted cavity Scattering by a circular slotted cylinder Eigenoscillations of open and closed slot resonators Closed rectangular slot resonator Open rectangular slot resonator Slotted resonator with circular cross section The integral and summation equations for the strip problems Summation equations in the problem on eigenfrequencies Bibliography