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

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

doi:10.1109/DIPED.1998.730940

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

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

NASU - Institute of Radiophysics and Electronics
Gebze Technical University

Araştırma çıktısı: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › Hakem

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 dil	İngilizce
Ana bilgisayar yayını başlığı	Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998
Yayınlayan	IEEE Computer Society
Sayfalar	39-41
Sayfa sayısı	3
ISBN (Elektronik)	9660206216
DOI'lar	https://doi.org/10.1109/DIPED.1998.730940
Yayın durumu	Yayınlandı - 1998
Harici olarak yayınlandı	Evet
Etkinlik	3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 - Tbilisi, Georgia Süre: 2 Kas 1998 → 5 Kas 1998

Yayın serisi

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

???event.eventtypes.event.conference???

???event.eventtypes.event.conference???	3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998
Ülke/Bölge	Georgia
Şehir	Tbilisi
Periyot	2/11/98 → 5/11/98

Bibliyografik not

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

Belgeye Erişim

10.1109/DIPED.1998.730940

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

Tuchkin, Y. A., Karacuha, E., & Dikmen, F. (1998). Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings. In Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 (pp. 39-41). (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). IEEE Computer Society. https://doi.org/10.1109/DIPED.1998.730940

Tuchkin, Y. A. ; Karacuha, E. ; Dikmen, F. / Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings. Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998. IEEE Computer Society, 1998. pp. 39-41 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

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title = "Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings",

abstract = "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.",

author = "Tuchkin, \{Y. A.\} and E. Karacuha and F. Dikmen",

note = "Publisher Copyright: {\textcopyright} 1998 Inst. For Appl. Prob. of Mech and Math. of NASU.; 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998 ; Conference date: 02-11-1998 Through 05-11-1998",

year = "1998",

doi = "10.1109/DIPED.1998.730940",

language = "English",

series = "Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED",

publisher = "IEEE Computer Society",

pages = "39--41",

booktitle = "Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998",

address = "United States",

}

Tuchkin, YA, Karacuha, E & Dikmen, F 1998, Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings. in Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998. Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, IEEE Computer Society, pp. 39-41, 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998, Tbilisi, Georgia, 2/11/98. https://doi.org/10.1109/DIPED.1998.730940

Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings. / Tuchkin, Y. A.; Karacuha, E.; Dikmen, F.
Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998. IEEE Computer Society, 1998. p. 39-41 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

Araştırma çıktısı: Kitap/Rapor/Konferans Bildirisinde Bölüm › Konferans katkısı › Hakem

TY - GEN

T1 - Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings

AU - Tuchkin, Y. A.

AU - Karacuha, E.

AU - Dikmen, F.

PY - 1998

Y1 - 1998

N2 - 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.

AB - 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.

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DO - 10.1109/DIPED.1998.730940

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BT - Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998

PB - IEEE Computer Society

T2 - 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998

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Tuchkin YA, Karacuha E, Dikmen F. Scalar wave diffraction by axially symmetrical system of infinitely thin perfectly conducting circular rings. In Proceedings of 3rd International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 1998. IEEE Computer Society. 1998. p. 39-41. (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). doi: 10.1109/DIPED.1998.730940

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

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Yayın serisi

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Bibliyografik not

Belgeye Erişim

Diğer Dosyalar ve Linkler

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