APPROXIMATION OF THE MALIUZHINETS FUNCTION

Authors
AIDI M LAVERGNAT J
Citation
M. Aidi et J. Lavergnat, APPROXIMATION OF THE MALIUZHINETS FUNCTION, Journal of electromagnetic waves and applications, 10(10), 1996, pp. 1395-1411
Citations number
8
Categorie Soggetti
Physycs, Mathematical","Physics, Applied","Engineering, Eletrical & Electronic
Journal title
Journal of electromagnetic waves and applications → ACNP
ISSN journal
09205071
Volume
10
Issue
10
Year of publication
1996
Pages
1395 - 1411
Database
ISI
SICI code
0920-5071(1996)10:10<1395:AOTMF>2.0.ZU;2-1
Abstract
The Maliuzhinets function Psi(Phi)(z) appears in the important problem of diffraction by an impedance wedge. A more convenient normalized Ma liuzhinets function is introduced and new methods of approximating thi s function are proposed. The Osipov's algorithm is adapted to this nor malized function, which provides more accuracy, an extension of the va lidity domain of the approximation, and more efficiency in computation times. Alternate new methods which permit significant saving computat ion times are then developed.