Analysis of single unknown volume integral equation for general scatterers

Johannes Markkanen; Pasi Ylä-Oijala; Cai Cheng Lu

doi:10.1109/APS.2011.5997211

Analysis of single unknown volume integral equation for general scatterers

Johannes Markkanen, Pasi Ylä-Oijala, Cai Cheng Lu

Electrical and Computer Engineering

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

Abstract

The volume integral equation method is used to analyze electromagnetic scattering from arbitrarily shaped three-dimensional homogeneous objects whose permittivity and permeability differ from those of background medium. We consider three different types of formulations, the DB-formulation with flux densities as unknowns, the EH-formulation with fields as unknowns, and EE- and HH-formulations that contain only single unknown, either electric or magnetic field. The properties of the formulations are investigated with numerical examples. Numerical results show that at least fully linear curl conforming basis functions must be used when applying the single unknown volume intergal equation for general scatterers.

Original language	English
Title of host publication	2011 IEEE International Symposium on Antennas and Propagation - Proceedings
Pages	3189-3192
Number of pages	4
DOIs	https://doi.org/10.1109/APS.2011.5997211
State	Published - 2011
Event	2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 - Spokane, WA, United States Duration: Jul 3 2011 → Jul 8 2011

Publication series

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

Conference

Conference	2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011
Country/Territory	United States
City	Spokane, WA
Period	7/3/11 → 7/8/11

ASJC Scopus subject areas

Electrical and Electronic Engineering

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10.1109/APS.2011.5997211

Cite this

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title = "Analysis of single unknown volume integral equation for general scatterers",

abstract = "The volume integral equation method is used to analyze electromagnetic scattering from arbitrarily shaped three-dimensional homogeneous objects whose permittivity and permeability differ from those of background medium. We consider three different types of formulations, the DB-formulation with flux densities as unknowns, the EH-formulation with fields as unknowns, and EE- and HH-formulations that contain only single unknown, either electric or magnetic field. The properties of the formulations are investigated with numerical examples. Numerical results show that at least fully linear curl conforming basis functions must be used when applying the single unknown volume intergal equation for general scatterers.",

author = "Johannes Markkanen and Pasi Yl{\"a}-Oijala and Lu, {Cai Cheng}",

year = "2011",

doi = "10.1109/APS.2011.5997211",

language = "English",

isbn = "9781424495634",

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

pages = "3189--3192",

booktitle = "2011 IEEE International Symposium on Antennas and Propagation - Proceedings",

note = "2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011 ; Conference date: 03-07-2011 Through 08-07-2011",

}

Markkanen, J, Ylä-Oijala, P & Lu, CC 2011, Analysis of single unknown volume integral equation for general scatterers. in 2011 IEEE International Symposium on Antennas and Propagation - Proceedings., 5997211, IEEE Antennas and Propagation Society, AP-S International Symposium (Digest), pp. 3189-3192, 2011 IEEE International Symposium on Antennas and Propagation and USNC/URSI National Radio Science Meeting, APSURSI 2011, Spokane, WA, United States, 7/3/11. https://doi.org/10.1109/APS.2011.5997211

Analysis of single unknown volume integral equation for general scatterers. / Markkanen, Johannes; Ylä-Oijala, Pasi; Lu, Cai Cheng.
2011 IEEE International Symposium on Antennas and Propagation - Proceedings. 2011. p. 3189-3192 5997211 (IEEE Antennas and Propagation Society, AP-S International Symposium (Digest)).

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

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N2 - The volume integral equation method is used to analyze electromagnetic scattering from arbitrarily shaped three-dimensional homogeneous objects whose permittivity and permeability differ from those of background medium. We consider three different types of formulations, the DB-formulation with flux densities as unknowns, the EH-formulation with fields as unknowns, and EE- and HH-formulations that contain only single unknown, either electric or magnetic field. The properties of the formulations are investigated with numerical examples. Numerical results show that at least fully linear curl conforming basis functions must be used when applying the single unknown volume intergal equation for general scatterers.

AB - The volume integral equation method is used to analyze electromagnetic scattering from arbitrarily shaped three-dimensional homogeneous objects whose permittivity and permeability differ from those of background medium. We consider three different types of formulations, the DB-formulation with flux densities as unknowns, the EH-formulation with fields as unknowns, and EE- and HH-formulations that contain only single unknown, either electric or magnetic field. The properties of the formulations are investigated with numerical examples. Numerical results show that at least fully linear curl conforming basis functions must be used when applying the single unknown volume intergal equation for general scatterers.

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Analysis of single unknown volume integral equation for general scatterers

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