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The theory and numerical computation of Maliuzhinets' special function

Osipov, Andrey and Stein, Volker (1999) The theory and numerical computation of Maliuzhinets' special function. DLR-Interner Bericht. DLR–IB 551–1999/5, 57 S.

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Abstract

Extension of the Institute's RCS code SIGMA to treat non-metallic wedges is based on a solution of corresponding diffraction problem given by G. D. Maliuzhinets. To compute this solution, a special function is needed which bears the name of Maliuzhinets. Evaluation of this function is rather time-consuming. One may try, however, to simplify the problem by developing approximations to the function, the accuracy of which is sufficient for practical RCS computations with SIGMA. This report presents a systematic analysis of the Maliuzhinets' special function. Complete theory of the function and its logarithmic derivative is given in chapter 2 of the report. We subsequently derive all known representations of the functions as well as prove various functional relations satisfied by them. Chapter 3 is devoted to construction of effective numerical algorithms for computing the Maliuzhinets' function. We analyze various representations of the function, their numerical advantages and disadvantages. Five various numerical schemes are proposed that differ from each other in accuracy and computational speed. Each scheme has been implemented in a FORTRAN subroutine and chapter 4 provides their detailed description, including program listings.

Document Type:Monograph (DLR-Interner Bericht)
Additional Information:LIDO-Berichtsjahr=2000
Title:The theory and numerical computation of Maliuzhinets' special function
Authors:
AuthorsInstitution or Email of Authors
Osipov, AndreyUNSPECIFIED
Stein, VolkerUNSPECIFIED
Date:1999
Refereed publication:No
In SCOPUS:No
In ISI Web of Science:No
Number of Pages:57
Status:Published
Keywords:electromagnetic scattering, RCS, non-metallic wedge, special function, approximation, Fortran subroutines
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L ST - Starrflüglertechnologien
DLR - Research theme (Project):L - Military Technologies
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute
Deposited By: Dr. Andrey Osipov
Deposited On:03 Feb 2006
Last Modified:06 Jan 2010 19:30

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