Improve the accuracy of the second-kind integral equations for generally shaped objects

Su Yan; Jian Ming Jin; Zaiping Nie

doi:10.1109/APS.2012.6348570

Improve the accuracy of the second-kind integral equations for generally shaped objects

Su Yan, Jian Ming Jin, Zaiping Nie

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

Abstract

Second-kind integral equations (IEs) are used to be considered as less accurate than their first-kind counterparts. Previously, it has been shown that by using the Buffa-Christiansen (BC) functions as the testing function, the numerical accuracy of the second-kind IEs in the far field calculation for spherical objects can be improved significantly. In this paper, this technique is generalized to be applicable for generally shaped objects for both the perfect electric conductor (PEC) and the dielectric cases by using the BC functions as the testing function, and handling the near-singularities in the evaluation of the system matrix elements carefully. Several examples are given to demonstrate the performance of this technique.

Original language	English (US)
Title of host publication	2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings
DOIs	https://doi.org/10.1109/APS.2012.6348570
State	Published - 2012
Event	Joint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012 - Chicago, IL, United States Duration: Jul 8 2012 → Jul 14 2012

Publication series

Name	IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)
ISSN (Print)	1522-3965

Other

Other	Joint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012
Country/Territory	United States
City	Chicago, IL
Period	7/8/12 → 7/14/12

ASJC Scopus subject areas

Electrical and Electronic Engineering

Online availability

10.1109/APS.2012.6348570

Library availability

Discover UIUC Full Text

Cite this

Improve the accuracy of the second-kind integral equations for generally shaped objects. / Yan, Su; Jin, Jian Ming; Nie, Zaiping.
2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings. 2012. 6348570 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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

Yan, S, Jin, JM & Nie, Z 2012, Improve the accuracy of the second-kind integral equations for generally shaped objects. in 2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings., 6348570, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), Joint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012, Chicago, IL, United States, 7/8/12. https://doi.org/10.1109/APS.2012.6348570

@inproceedings{f22369cdce89464ca60fabbb0556925a,

title = "Improve the accuracy of the second-kind integral equations for generally shaped objects",

abstract = "Second-kind integral equations (IEs) are used to be considered as less accurate than their first-kind counterparts. Previously, it has been shown that by using the Buffa-Christiansen (BC) functions as the testing function, the numerical accuracy of the second-kind IEs in the far field calculation for spherical objects can be improved significantly. In this paper, this technique is generalized to be applicable for generally shaped objects for both the perfect electric conductor (PEC) and the dielectric cases by using the BC functions as the testing function, and handling the near-singularities in the evaluation of the system matrix elements carefully. Several examples are given to demonstrate the performance of this technique.",

author = "Su Yan and Jin, {Jian Ming} and Zaiping Nie",

year = "2012",

doi = "10.1109/APS.2012.6348570",

language = "English (US)",

isbn = "9781467304627",

series = "IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)",

booktitle = "2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings",

note = "Joint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012 ; Conference date: 08-07-2012 Through 14-07-2012",

}

TY - GEN

T1 - Improve the accuracy of the second-kind integral equations for generally shaped objects

AU - Yan, Su

AU - Jin, Jian Ming

AU - Nie, Zaiping

PY - 2012

Y1 - 2012

N2 - Second-kind integral equations (IEs) are used to be considered as less accurate than their first-kind counterparts. Previously, it has been shown that by using the Buffa-Christiansen (BC) functions as the testing function, the numerical accuracy of the second-kind IEs in the far field calculation for spherical objects can be improved significantly. In this paper, this technique is generalized to be applicable for generally shaped objects for both the perfect electric conductor (PEC) and the dielectric cases by using the BC functions as the testing function, and handling the near-singularities in the evaluation of the system matrix elements carefully. Several examples are given to demonstrate the performance of this technique.

AB - Second-kind integral equations (IEs) are used to be considered as less accurate than their first-kind counterparts. Previously, it has been shown that by using the Buffa-Christiansen (BC) functions as the testing function, the numerical accuracy of the second-kind IEs in the far field calculation for spherical objects can be improved significantly. In this paper, this technique is generalized to be applicable for generally shaped objects for both the perfect electric conductor (PEC) and the dielectric cases by using the BC functions as the testing function, and handling the near-singularities in the evaluation of the system matrix elements carefully. Several examples are given to demonstrate the performance of this technique.

UR - http://www.scopus.com/inward/record.url?scp=84870502892&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84870502892&partnerID=8YFLogxK

U2 - 10.1109/APS.2012.6348570

DO - 10.1109/APS.2012.6348570

M3 - Conference contribution

AN - SCOPUS:84870502892

SN - 9781467304627

T3 - IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)

BT - 2012 IEEE International Symposiumon Antennas and Propagation, APSURSI 2012 - Proceedings

T2 - Joint 2012 IEEE International Symposium on Antennas and Propagation and USNC-URSI National Radio Science Meeting, APSURSI 2012

Y2 - 8 July 2012 through 14 July 2012

ER -

Improve the accuracy of the second-kind integral equations for generally shaped objects

Abstract

Publication series

Other

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this