Electromagnetic wave diffraction by conducting screens: pseudodifferential operators in diffraction problems

by Ilʹinskiĭ, A. S.

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Title Statements

Full title :Electromagnetic wave diffraction by conducting screens : pseudodifferential operators in diffraction problems / A.S. Ilyinsky and Yu. G. Smirnov ; edited by Yu. V. Shestopalov.

Edition Statements

Publication Date:1998.

Publication Statements

Publisher(s):VSP
Place of Publication:Utrecht
Language:eng
Publication Date:1998.

The Physical Object

Description:1 online resource

Edition Identifiers

ISBN:9780429605048, 0429605048
oclc:on1304815989
LC Classification:QC665.D5
Dewey Decimal:539.2

1. Diffraction by cylindrical screens. 1.1. Statement of the problems of diffraction by cylindrical screens. 1.2. Closed cylindrical screens. 1.3. Unclosed cylindrical screens -- 2. Diffraction by a bounded planar screen. 2.1. Statement of the diffraction problem and the uniqueness theorem. 2.2. Vector spaces W and W'. 2.3. Vector potentials and representation of solutions. 2.4. Reduction of the problem to the system of pseudodifferential equations. 2.5. Fredholm property and solvability of the system of pseudodifferential equations. 2.6. Smoothness of generalized solutions. The orders of singularity in the vicinities of edges -- 3. Diffraction by a system of arbitrary bounded screens. 3.1. The spaces W and W' of the cross sections of vector bundles over [omega]. 3.2. Representation of solutions and the system of integrodifferential equations on screens. 3.3. Reduction of the problem to the vector pseudodifferential equation on [omega]. 3.4. Fredholm property and solvability of the vector pseudodifferential equation. 3.5. Principle of limiting absorption -- 4. The problems of diffraction in domains connected through a hole in a screen. 4.1. Green's functions for canonical domains.…