WIT Press

Surface equivalence principle and surface integral equation (SIE) revisited for bioelectromagnetics application

Price

Free (open access)

Volume

Volume 6 (2018), Issue 6

Pages

9

Page Range

1182 - 1191

Paper DOI

10.2495/CMEM-V6-N6-1182-1191

Copyright

WIT Press

Author(s)

M. CVETKOVIĆ & D. POLJAK

Abstract

The paper revisits the use of a surface equivalence theorem in deriving the surface integral equation (SIE) based formulation for a homogeneous bio-electromagnetics problem. The vector analog of Green’s 2nd identity is used to obtain the expression for the electric field representing the mathematical foundation of the equivalence theorem. The particular emphasis is put on the treatment of boundary integral when the observation and source points, respectively, coincide. The boundary conditions at infinity are taken into account via the Sommerfeld radiation conditions. The derived coupled SIE set can be used in problems involving biological body exposed to electromagnetic field radiation. 

Keywords

Computational electromagnetics, Equivalence principle, Human exposure to electromagnetic fields, Surface integral equation