Matrix operators in external diffraction problems
Abstract
The paper proposes a method which makes it possible to reduce problems of diffraction by thin bounded screens to the inversion of rapidly diminishing matrix operators, i.e., to algorithms which are not less effective than those for internal problems. This approach includes the expansion of the field in terms of a discrete set of cylindrical (or spherical) waves and multiple semiinversion of the initial operator. This semiinversion procedure involves the expression of the unknown cylindricalwave scattering matrices through known planewave scattering matrices of internal problems, as well as the identification (with explicit inversion) of singular terms reflecting other factors of the wavescattering process.
 Publication:

Akademiia Nauk SSSR Doklady
 Pub Date:
 April 1982
 Bibcode:
 1982DoSSR.263...67S
 Keywords:

 Communication Theory;
 Diffraction Propagation;
 Matrices (Mathematics);
 Screen Effect;
 Wave Diffraction;
 Algorithms;
 Operators (Mathematics);
 Radiation Distribution;
 Communications and Radar