Inversion of the logarithmic integral operator defined on several arcs of a circle and its application to diffraction theory

The inversion of the logarithmic integral operator defined on several curves is considered. Formulas for the inverse operator and its action on trigonometric functions are obtained. The results are applied to a problem of diffraction by a conducting cylinder with longitudinal slots.

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Bibliographic Details
Main Authors: Ilinski, A.S., Chernokozhin, E.V.
Format: Conference Proceeding
Language:English
Subjects:
Coatings
Cybernetics
Dielectrics
Diffraction
Integral equations
Mathematics
Permittivity
Scattering
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Description
Summary:The inversion of the logarithmic integral operator defined on several curves is considered. Formulas for the inverse operator and its action on trigonometric functions are obtained. The results are applied to a problem of diffraction by a conducting cylinder with longitudinal slots.