Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings

Y. A. Tuchkin, E. Karacuha, F. Dikmen

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Özet

A new strong mathematically rigorous and numerically efficient method for solving the boundary value problem of scalar wave diffraction by a system of infinitely thin circular ring shaped screens is proposed. The method is based on the combination of the orthogonal polynomials approach and on the ideas of the methods of analytical regularisation. The solution is generalisation of the investigation done for one ring. As a result of the suggested regularisation procedure, the initial boundary value problem was equivalently reduced to the infinite system of the linear algebraic equations of the second kind, i.e. to an equation of the type (I+H)x=b, x, b∈l2 in the space l2 of square summable sequences. This equation can be solved numerically by means of a truncation method with, in principle, any required accuracy.

Orijinal dilİngilizce
Ana bilgisayar yayını başlığıProceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998
YayınlayanIEEE Computer Society
Sayfalar39-41
Sayfa sayısı3
ISBN (Elektronik)9660206216
DOI'lar
Yayın durumuYayınlandı - 1998
Harici olarak yayınlandıEvet
Etkinlik3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 - Tbilisi, Georgia
Süre: 2 Kas 19985 Kas 1998

Yayın serisi

AdıProceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
ISSN (Basılı)2165-3585
ISSN (Elektronik)2165-3593

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???event.eventtypes.event.conference???3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998
Ülke/BölgeGeorgia
ŞehirTbilisi
Periyot2/11/985/11/98

Bibliyografik not

Publisher Copyright:
© 1998 Inst. For Appl. Prob. of Mech and Math. of NASU.

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