Reduction of Volume Integrals to Nonsingular Surface Integrals for Matrix Elements of Tensor and Vector Green Functions of Maxwell Equations

Author

Bleszynski, E.H. ; Bleszynski, M.K. ; Jaroszewicz, T.

Author_Institution

Monopole Res., Thousand Oaks, CA, USA

Volume

61

Issue

7

fYear

2013

fDate

7/1/2013 12:00:00 AM

Firstpage

3642

Lastpage

3647

Abstract

A procedure for the evaluation of matrix elements of tensor and vector Green functions with linear basis functions appearing in volumetric integral equations in electromagnetics is presented. The procedure reduces six-dimensional volumetric integrals with singular integrands to four-dimensional surface integrals with nonsingular integrands-hence, it offers simplicity and accuracy achieved at low computational cost.

Keywords

Green´s function methods; Maxwell equations; computational electromagnetics; integral equations; matrix algebra; tensors; Maxwell equations; electromagnetics; four-dimensional surface integrals; linear basis functions; matrix elements; nonsingular integrands; nonsingular surface integrals; six-dimensional volumetric integrals; tensor; vector Green functions; volume integrals reduction; Green´s function methods; Integral equations; Maxwell equations; Tensile stress; Electromagnetic volumetric integral equations; matrix elements;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2013.2254445

Filename

6484895