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Singularity extraction in kernel functions in closed region problems
Author(s) -
Howard A. Q.,
Seidel D. B.
Publication year - 1978
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/rs013i003p00425
Subject(s) - eigenfunction , kernel (algebra) , mathematics , mathematical analysis , singularity , integral equation , poisson kernel , singular value decomposition , convergent series , series (stratigraphy) , pure mathematics , algorithm , physics , eigenvalues and eigenvectors , power series , paleontology , quantum mechanics , biology
A general method of obtaining the free space particular solution and the required homogeneous solution decomposition in closed region problems in electromagnetics is described. This allows the singular nature of the kernel function to be handled analytically. The remaining homogeneous solution which is expressed in an eigenfunction series is rapidly convergent. The method should be of particular value in vector integral equation formulations where the dyadic kernel is highly singular. The method is applied to the rectangular cavity dyad.