An observation on the Sommerfeld-integral representation of the electric dyadic Green´s function for layered media

Author

Viola, Mark S. ; Nyquist, Dennis P.

Author_Institution

Dept. of Electr. Eng. & Syst. Sci., Michigan State Univ., East Lansing, MI, USA

Volume

36

Issue

8

fYear

1988

fDate

8/1/1988 12:00:00 AM

Firstpage

1289

Lastpage

1292

Abstract

The authors discuss the electric dyadic Green´s function for layered dielectrics. It is known that for the free-space electric dyadic Green´s function, evaluation of the electric field at observation points within the source region requires specification of a principal volume along with the corresponding depolarizing dyad. Special considerations are invoked for layered background media which are appropriate for the electromagnetics of integrated electronics. It is shown that use of the Sommerfeld-integral representation of the electric dyadic Green´s function leads to an innate choice for the depolarizing dyad. A corresponding principal volume is subsequently identified; it is demonstrated that there exists an alternative choice for this excluding region which leads to the same depolarizing dyad

Keywords

Green´s function methods; dielectric materials; electric fields; electromagnetic field theory; integrated optics; integrated optoelectronics; monolithic integrated circuits; Sommerfeld-integral representation; depolarizing dyad; electric dyadic Green´s function; electric field; integrated electronics; layered dielectrics; layered media; optical integrated circuits; principal volume; Current; Dielectric substrates; Electromagnetics; Green´s function methods; Integral equations; Integrated circuit modeling; Maxwell equations; Nonhomogeneous media; Optical films; Refractive index;

fLanguage

English

Journal_Title

Microwave Theory and Techniques, IEEE Transactions on

Publisher

ieee

ISSN

0018-9480

Type

jour

DOI

10.1109/22.3672

Filename

3672