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On Toroidal Wave Functions
Author(s) -
Weston V. H.
Publication year - 1960
Publication title -
journal of mathematics and physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0097-1421
DOI - 10.1002/sapm196039164
Subject(s) - citation , library science , toroid , physics , computer science , mathematics , combinatorics , nuclear physics , plasma
. A method was developed by Weston [1] for solving the Helmholtz equation for a class of non-separable coordinate systems. This method was applied to the Toroidal coordinate system [2] and a complete set of solutions were obtained with represented radiation from a ring source. In this paper, there will be derived from these wave functions, simpler wave functions which are more useful in practice. Besides having simpler asymptotic values in the radiation or far field, their asymptotic values for thin rings hold down to smaller wavelengths.