Sommerfeld - Malyuzhinets Technique in Modern Diffraction Theory

Abstract

The diffraction problems in angular (or wedge-shaped) domains occupy a special place in diffraction theory because of the wide variethi f the rlrtbd rmAthe-in1ticd ideas abd their practical signiificancO to the wave scattering phenomena. The, history Of the topic begins With the pioneen'iig work by A, Sommerfeld of 1896 nd later W as contributed by many scientists. Papers by G.D Malyuzhinets of the 19 30s opened a way to furthei developments, and now the Sommerfeld-Malyuzhnets approach is without clobt, the most efimcrent and Wilely appliahe one, Owing to tbeh local6zation principle the results bised on the Somherfeld Malyu,zhinets method can be exploited by the Geometrical Theory of Diffraction (TTD) or its equivalent versions for construction of the far field asmmptotic solutions in vaiious sitations of the research and engineering practice. The course shoud be of special interest t undergraduate and po stgraduate student, reseachebrs in Waxe-phenomena engilneeiing, phy sics and aplied Mathematics. Basic knowledge. in complex xvariables functions analysis. PD equations add asylLrXmptotic mtielthods is dsitable. Copies ofpresentadon slides will be provided.