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Solutions to a Class of Half‐Plane Diffraction Problems
Author(s) -
Tan H. S.,
Cheng David K.
Publication year - 1970
Publication title -
radio science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.371
H-Index - 84
eISSN - 1944-799X
pISSN - 0048-6604
DOI - 10.1029/rs005i008p01191
Subject(s) - diffraction , mathematics , plane (geometry) , mathematical analysis , anisotropy , boundary value problem , class (philosophy) , optics , physics , geometry , computer science , artificial intelligence
Sommerfeld diffraction functions are used to develop a general method of solution for a class of two‐dimensional half‐plane diffraction problems for which the boundary conditions contain first‐ and second‐order derivatives. The diffraction functions are themselves wave functions and satisfy both the radiation and the edge conditions. In comparison with the Wiener‐Hopf technique frequently used for such problems, this method is considerably simpler and easier to apply. Problems involving multimode surface reactances and half‐plane scatterers imbedded in anisotropic plasma and ferrite media are solved as examples.