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Zeros of the Bessel function and the role of continuous spectrum in the problem of electromagnetic diffraction by a finitely conducting sphere

Osipov, Andrey (2000) Zeros of the Bessel function and the role of continuous spectrum in the problem of electromagnetic diffraction by a finitely conducting sphere. Vestnik St. Petersburg. Univ.: Fiz. Khim. (4), pp. 29-38. St. Petersburg State University, Russia. ISSN 0132-4624, 0024-0826.

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Abstract

This paper is a short review in the area of asymptotic theory of the Bessel function and its application to the diffraction of electromagnetic waves by a sphere of finite conductivity. Location of zeros of the Bessel function in the complex plane of index is addressed on the basis of Debye's asymptotic approximations. It is shown that for complex values of the argument, there exist two branches of zeros. The branch of zeros located in the upper half plane of the complex plane plays a key role in the analysis of the electromagnetic field diffracted by a dielectric sphere. The paper presents simple qualitative estimations of contributions coming from discrete and continuous parts of the spectrum.

Document Type:Article
Title:Zeros of the Bessel function and the role of continuous spectrum in the problem of electromagnetic diffraction by a finitely conducting sphere
Authors:
AuthorsInstitution or Email of Authors
Osipov, AndreyUNSPECIFIED
Date:2000
Journal or Publication Title:Vestnik St. Petersburg. Univ.: Fiz. Khim.
Refereed publication:Yes
In ISI Web of Science:No
Page Range:pp. 29-38
Publisher:St. Petersburg State University, Russia
Series Name:Physics, chemistry
ISSN:0132-4624, 0024-0826
Status:Published
Keywords:Bessel function, canonical problem, dielectric sphere, diffraction, electromagnetic waves, zeros
HGF - Research field:Aeronautics, Space and Transport (old)
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Military Technologies
Location: Oberpfaffenhofen
Institutes and Institutions:Microwaves and Radar Institute > Microwave Systems
Deposited By: Dr. Andrey Osipov
Deposited On:30 Jan 2006
Last Modified:27 Apr 2009 04:59

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