A Simple and Direct Time Domain Derivation of the Dyadic Green´s Function for a Uniformly Moving Non-Dispersive Dielectric-Magnetic Medium

Author

Danov, T. ; Melamed, Timor

Author_Institution

Dept. of Electr. & Comput. Eng., Ben-Gurion Univ. of the Negev, Beer-Sheva, Israel

Volume

60

Issue

5

fYear

2012

fDate

5/1/2012 12:00:00 AM

Firstpage

2594

Lastpage

2597

Abstract

The present contribution is concerned with deriving the relativistic electric and magnetic time-dependent dyadic Green´s functions of an isotropic dielectric-magnetic medium (at the frame-at-rest) that is moving in a uniform relativistic velocity under the framework of the Minkowski constitutive relations. The results presented here correct previous reports in the literature [R. Compton, J. Math. Phys. 7, 2145 (1966)] and [C. Tai, J. Math. Phys. 8, 646 (1967)]. By applying a simple space-time and fields-sources transformation, scalarization of the vectorial problem is obtained. Thus the electromagnetic dyads are evaluated from the Green´s function of the scalar (time-dependent) wave equation in free space. Emphasis is placed on a simple and direct time domain derivation.

Keywords

Green´s function methods; electromagnetic wave propagation; time-domain analysis; Minkowski constitutive relations; electromagnetic dyads; free space; isotropic dielectric-magnetic medium; magnetic time-dependent dyadic Green´s functions; scalar wave equation; time domain derivation; time-dependent wave equation; uniformly moving nondispersive dielectric-magnetic medium; vectorial problem scalarization; Electromagnetics; Ellipsoids; Fourier transforms; Green´s function methods; Maxwell equations; Three dimensional displays; Vectors; Čerenkov radiation; dyadic Green´s function; moving medium; special relativity;

fLanguage

English

Journal_Title

Antennas and Propagation, IEEE Transactions on

Publisher

ieee

ISSN

0018-926X

Type

jour

DOI

10.1109/TAP.2012.2189745

Filename

6163363