Exact evaluation of the Maliuzhinets half-plane function

Title
Exact evaluation of the Maliuzhinets half-plane function
Authors
Koh, I.S.
Keywords
impedance half plane, Maliuzhinet half-plane function, scattering
Issue Date
2007-02
Publisher
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
Abstract
The Maliuzhinets half-plane function psi(pi)(z) has been used for many applications, but its closed-form has not been known. In this Communication, we exactly evaluate a known integral representation of psi(pi)(z) to formulate an exact closed-form of the function, which is expressed in terms of the dilogarithm function. The exact formulation is numerically verified by comparing it with the results obtained by numerical integration of a integral representation of general Maliuzhinets function. A closed-form of psi(pi/2)(z) is also obtained since it can be expressed in terms of psi(pi)(z).
URI
http://dspace.inha.ac.kr/handle/10505/1572
ISSN
0018-926X
Appears in Collections:
College of Information Technology & Engineering (IT공과대학) > Electronic Engineering (전자공학) > Journal Papers, Reports(전자공학 논문, 보고서)
Files in This Item:
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