The method of auxiliary sources for eigen frequencies and eigen fields determination

I. Petoev; V. Tabatadze; R. Zaridze

doi:10.1109/DIPED.2015.7324236

The method of auxiliary sources for eigen frequencies and eigen fields determination

I. Petoev
, V. Tabatadze
, R. Zaridze

Ivane Javakhishvili Tbilisi State University

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

3 Citations (Scopus)

Abstract

The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system which simplifies the solution of the stated problem. Considering the diffraction problem on concrete objects and calculating the frequency characteristic for them, the resonant frequencies are determined, corresponding to their eigen values, at which the inner resonant field is excited as a standing wave. The obtained results confirm the efficiency of the proposed algorithm.

Original language	English
Title of host publication	DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings
Publisher	IEEE Computer Society
Pages	13-17
Number of pages	5
ISBN (Electronic)	9789660275416
DOIs	https://doi.org/10.1109/DIPED.2015.7324236
Publication status	Published - 10 Nov 2015
Externally published	Yes
Event	20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015 - Lviv, Ukraine Duration: 21 Sept 2015 → 24 Sept 2015

Publication series

Name	Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
Volume	2015-November
ISSN (Print)	2165-3585
ISSN (Electronic)	2165-3593

Conference

Conference	20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015
Country/Territory	Ukraine
City	Lviv
Period	21/09/15 → 24/09/15

Bibliographical note

Publisher Copyright:
© 2015 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics.

Keywords

eigen field
eigen frequency
MAS
resonance
resonator

Access to Document

10.1109/DIPED.2015.7324236

Cite this

Petoev, I., Tabatadze, V., & Zaridze, R. (2015). The method of auxiliary sources for eigen frequencies and eigen fields determination. In DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings (pp. 13-17). Article 7324236 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2015-November). IEEE Computer Society. https://doi.org/10.1109/DIPED.2015.7324236

Petoev, I. ; Tabatadze, V. ; Zaridze, R. / The method of auxiliary sources for eigen frequencies and eigen fields determination. DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings. IEEE Computer Society, 2015. pp. 13-17 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

@inproceedings{82ba316c2ac0496dbbec59bdcd6ee881,

title = "The method of auxiliary sources for eigen frequencies and eigen fields determination",

abstract = "The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system which simplifies the solution of the stated problem. Considering the diffraction problem on concrete objects and calculating the frequency characteristic for them, the resonant frequencies are determined, corresponding to their eigen values, at which the inner resonant field is excited as a standing wave. The obtained results confirm the efficiency of the proposed algorithm.",

keywords = "eigen field, eigen frequency, MAS, resonance, resonator",

author = "I. Petoev and V. Tabatadze and R. Zaridze",

note = "Publisher Copyright: {\textcopyright} 2015 Pidstryhach Institute for Applied Problems of Mechanics and Mathematics.; 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015 ; Conference date: 21-09-2015 Through 24-09-2015",

year = "2015",

month = nov,

day = "10",

doi = "10.1109/DIPED.2015.7324236",

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 = "13--17",

booktitle = "DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings",

address = "United States",

}

Petoev, I, Tabatadze, V & Zaridze, R 2015, The method of auxiliary sources for eigen frequencies and eigen fields determination. in DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings., 7324236, Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, vol. 2015-November, IEEE Computer Society, pp. 13-17, 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015, Lviv, Ukraine, 21/09/15. https://doi.org/10.1109/DIPED.2015.7324236

The method of auxiliary sources for eigen frequencies and eigen fields determination. / Petoev, I.; Tabatadze, V.; Zaridze, R.
DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings. IEEE Computer Society, 2015. p. 13-17 7324236 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2015-November).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

TY - GEN

T1 - The method of auxiliary sources for eigen frequencies and eigen fields determination

AU - Petoev, I.

AU - Tabatadze, V.

AU - Zaridze, R.

PY - 2015/11/10

Y1 - 2015/11/10

N2 - The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system which simplifies the solution of the stated problem. Considering the diffraction problem on concrete objects and calculating the frequency characteristic for them, the resonant frequencies are determined, corresponding to their eigen values, at which the inner resonant field is excited as a standing wave. The obtained results confirm the efficiency of the proposed algorithm.

AB - The method of auxiliary sources is used in the spectral problem for 2D and 3D electromagnetic resonators. Instead of traditional solution methods, based on the search of nonzero roots of homogenous equation system, in this work the problem is reduced to the solution of the nonhomogeneous system which simplifies the solution of the stated problem. Considering the diffraction problem on concrete objects and calculating the frequency characteristic for them, the resonant frequencies are determined, corresponding to their eigen values, at which the inner resonant field is excited as a standing wave. The obtained results confirm the efficiency of the proposed algorithm.

KW - eigen field

KW - eigen frequency

KW - MAS

KW - resonance

KW - resonator

UR - https://www.scopus.com/pages/publications/84959225976

U2 - 10.1109/DIPED.2015.7324236

DO - 10.1109/DIPED.2015.7324236

M3 - Conference contribution

AN - SCOPUS:84959225976

T3 - Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED

SP - 13

EP - 17

BT - DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings

PB - IEEE Computer Society

T2 - 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2015

Y2 - 21 September 2015 through 24 September 2015

ER -

Petoev I, Tabatadze V, Zaridze R. The method of auxiliary sources for eigen frequencies and eigen fields determination. In DIPED 2015 - 2015 20th International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, Proceedings. IEEE Computer Society. 2015. p. 13-17. 7324236. (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). doi: 10.1109/DIPED.2015.7324236

The method of auxiliary sources for eigen frequencies and eigen fields determination

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this