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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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.
|Title:||Zeros of the Bessel function and the role of continuous spectrum in the problem of electromagnetic diffraction by a finitely conducting sphere|
|Journal or Publication Title:||Vestnik St. Petersburg. Univ.: Fiz. Khim.|
|In ISI Web of Science:||No|
|Page Range:||pp. 29-38|
|Publisher:||St. Petersburg State University, Russia|
|Series Name:||Physics, chemistry|
|Keywords:||Bessel function, canonical problem, dielectric sphere, diffraction, electromagnetic waves, zeros|
|HGF - Research field:||Aeronautics, Space and Transport|
|HGF - Program:||Aeronautics|
|HGF - Program Themes:||L AR - Aircraft Research|
|DLR - Research area:||Aeronautics|
|DLR - Program:||L AR - Aircraft Research|
|DLR - Research theme (Project):||L - Military Technologies|
|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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