Title :
Inversion of the logarithmic integral operator defined on several arcs of a circle and its application to diffraction theory
Author :
Ilinski, Anatoliy S. ; Chernokozhin, Eugenii V.
Author_Institution :
Fac. of Comput. Math. & Cybern., Moscow State Univ., Moscow, Russia
Abstract :
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.
Keywords :
integral equations; light diffraction; diffraction theory; inverse operator; logarithmic integral operator inversion; several arcs; trigonometric functions; Coatings; Cybernetics; Dielectrics; Diffraction; Integral equations; Mathematics; Permittivity; Scattering;
Conference_Titel :
Days on Diffraction, 2008. DD '08. Proceedings of the International Conference
Conference_Location :
St. Petersburg
Print_ISBN :
978-5-9651-0277-8
