Application of the method of auxiliary sources for the spherical and ellipsoid resonators

G. Afridonidze; I. Petoev; V. Tabatadze; R. Zaridze

doi:10.1109/DIPED.2016.7772206

Application of the method of auxiliary sources for the spherical and ellipsoid resonators

G. Afridonidze, I. Petoev, V. Tabatadze, R. Zaridze

Ivane Javakhishvili Tbilisi State University

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

1 Citation (Scopus)

Abstract

In the previous work [1] there was shown the efficient application of the Method of auxiliary sources (MAS) for the problems of Eigen frequencies and electromagnetic resonator's Eigen Fields. The calculations for numerical results were conducted for 2D case, when the resonator is bounded by the cylindrical surface. There was shown the efficiency of the proposed method in comparison to the traditional method, based on the numerical solution of the linear algebraic equations homogenous system. In the given work there is considered the 3D case with the examples of the spherical and elliptical resonators. There is investigated the error of the solution and the boundary condition satisfaction. The short description of the corresponding theory is given below. After that there is considered some numerical results of volume resonators' excitation in order to determine their Eigen frequencies and Eigen fields.

Original language	English
Title of host publication	2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016
Publisher	IEEE Computer Society
Pages	38-41
Number of pages	4
ISBN (Electronic)	9781509061761
DOIs	https://doi.org/10.1109/DIPED.2016.7772206
Publication status	Published - 5 Dec 2016
Externally published	Yes
Event	21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016 - Tbilisi, Georgia Duration: 26 Sept 2016 → 29 Sept 2016

Publication series

Name	Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED
Volume	2016-December
ISSN (Print)	2165-3585
ISSN (Electronic)	2165-3593

Conference

Conference	21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016
Country/Territory	Georgia
City	Tbilisi
Period	26/09/16 → 29/09/16

Bibliographical note

Publisher Copyright:
© 2016 IEEE.

Keywords

Eigen field
Eigen frequency
MAS
resonance
volume resonator

Access to Document

10.1109/DIPED.2016.7772206

Cite this

Afridonidze, G., Petoev, I., Tabatadze, V., & Zaridze, R. (2016). Application of the method of auxiliary sources for the spherical and ellipsoid resonators. In 2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016 (pp. 38-41). Article 7772206 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2016-December). IEEE Computer Society. https://doi.org/10.1109/DIPED.2016.7772206

Afridonidze, G. ; Petoev, I. ; Tabatadze, V. et al. / Application of the method of auxiliary sources for the spherical and ellipsoid resonators. 2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016. IEEE Computer Society, 2016. pp. 38-41 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED).

@inproceedings{a8f88bb39309407b92a3bb18ab396501,

title = "Application of the method of auxiliary sources for the spherical and ellipsoid resonators",

abstract = "In the previous work [1] there was shown the efficient application of the Method of auxiliary sources (MAS) for the problems of Eigen frequencies and electromagnetic resonator's Eigen Fields. The calculations for numerical results were conducted for 2D case, when the resonator is bounded by the cylindrical surface. There was shown the efficiency of the proposed method in comparison to the traditional method, based on the numerical solution of the linear algebraic equations homogenous system. In the given work there is considered the 3D case with the examples of the spherical and elliptical resonators. There is investigated the error of the solution and the boundary condition satisfaction. The short description of the corresponding theory is given below. After that there is considered some numerical results of volume resonators' excitation in order to determine their Eigen frequencies and Eigen fields.",

keywords = "Eigen field, Eigen frequency, MAS, resonance, volume resonator",

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

note = "Publisher Copyright: {\textcopyright} 2016 IEEE.; 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016 ; Conference date: 26-09-2016 Through 29-09-2016",

year = "2016",

month = dec,

day = "5",

doi = "10.1109/DIPED.2016.7772206",

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 = "38--41",

booktitle = "2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016",

address = "United States",

}

Afridonidze, G, Petoev, I, Tabatadze, V & Zaridze, R 2016, Application of the method of auxiliary sources for the spherical and ellipsoid resonators. in 2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016., 7772206, Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED, vol. 2016-December, IEEE Computer Society, pp. 38-41, 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016, Tbilisi, Georgia, 26/09/16. https://doi.org/10.1109/DIPED.2016.7772206

Application of the method of auxiliary sources for the spherical and ellipsoid resonators. / Afridonidze, G.; Petoev, I.; Tabatadze, V. et al.
2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016. IEEE Computer Society, 2016. p. 38-41 7772206 (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED; Vol. 2016-December).

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

TY - GEN

T1 - Application of the method of auxiliary sources for the spherical and ellipsoid resonators

AU - Afridonidze, G.

AU - Petoev, I.

AU - Tabatadze, V.

AU - Zaridze, R.

PY - 2016/12/5

Y1 - 2016/12/5

N2 - In the previous work [1] there was shown the efficient application of the Method of auxiliary sources (MAS) for the problems of Eigen frequencies and electromagnetic resonator's Eigen Fields. The calculations for numerical results were conducted for 2D case, when the resonator is bounded by the cylindrical surface. There was shown the efficiency of the proposed method in comparison to the traditional method, based on the numerical solution of the linear algebraic equations homogenous system. In the given work there is considered the 3D case with the examples of the spherical and elliptical resonators. There is investigated the error of the solution and the boundary condition satisfaction. The short description of the corresponding theory is given below. After that there is considered some numerical results of volume resonators' excitation in order to determine their Eigen frequencies and Eigen fields.

AB - In the previous work [1] there was shown the efficient application of the Method of auxiliary sources (MAS) for the problems of Eigen frequencies and electromagnetic resonator's Eigen Fields. The calculations for numerical results were conducted for 2D case, when the resonator is bounded by the cylindrical surface. There was shown the efficiency of the proposed method in comparison to the traditional method, based on the numerical solution of the linear algebraic equations homogenous system. In the given work there is considered the 3D case with the examples of the spherical and elliptical resonators. There is investigated the error of the solution and the boundary condition satisfaction. The short description of the corresponding theory is given below. After that there is considered some numerical results of volume resonators' excitation in order to determine their Eigen frequencies and Eigen fields.

KW - Eigen field

KW - Eigen frequency

KW - MAS

KW - resonance

KW - volume resonator

UR - http://www.scopus.com/inward/record.url?scp=85009732718&partnerID=8YFLogxK

U2 - 10.1109/DIPED.2016.7772206

DO - 10.1109/DIPED.2016.7772206

M3 - Conference contribution

AN - SCOPUS:85009732718

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

SP - 38

EP - 41

BT - 2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016

PB - IEEE Computer Society

T2 - 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016

Y2 - 26 September 2016 through 29 September 2016

ER -

Afridonidze G, Petoev I, Tabatadze V, Zaridze R. Application of the method of auxiliary sources for the spherical and ellipsoid resonators. In 2016 21st International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED 2016. IEEE Computer Society. 2016. p. 38-41. 7772206. (Proceedings of International Seminar/Workshop on Direct and Inverse Problems of Electromagnetic and Acoustic Wave Theory, DIPED). doi: 10.1109/DIPED.2016.7772206

Application of the method of auxiliary sources for the spherical and ellipsoid resonators

Abstract

Publication series

Conference

Bibliographical note

Keywords

Access to Document

Other files and links

Fingerprint

Cite this