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The mode‐matching method with a generalized singular‐smoothing procedure for analyzing the edge‐type scattering problem with several edge points
Author(s) -
Okuno Y.,
Matsuda T.
Publication year - 1984
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/rs019i005p01148
Subject(s) - smoothing , enhanced data rates for gsm evolution , convergence (economics) , mathematics , scattering , matching (statistics) , algorithm , mathematical analysis , grating , geometry , optics , computer science , physics , telecommunications , statistics , economics , economic growth
A numerical technique is presented for solving a two‐dimensional edge‐type scattering problem where the scatterer has several edge points. The technique is based on the mode‐matching method with a singular‐smoothing procedure. Analytical foundations of the technique, including convergence theorem, are described, and a computer‐aided numerical algorithm is developed. To show the validity of the technique, plane wave diffraction by a trapezoid grating is analyzed. Numerical data on the speed of convergence show the effectiveness of the technique.