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Double series expansion of the Green's function for a perfectly conducting tubular cylinder of finite length
Author(s) -
Lee HungMou
Publication year - 1983
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/rs018i001p00048
Subject(s) - cylinder , series (stratigraphy) , mathematics , mathematical analysis , series expansion , power series , function (biology) , kernel (algebra) , surface (topology) , green's function , space (punctuation) , geometry , pure mathematics , computer science , paleontology , evolutionary biology , biology , operating system
The kernel of the integrodifferential equations for the excited surface current distribution on a tubular cylinder is expanded in a complete set of orthogonal functions. The expansion coefficients are obtained explicitly as power series of the dimensions of the cylinder. As this kernel is a particular form of the free‐space Green's function, power series representations for the Green's function in other forms are also presented to facilitate direct applications to other problems.