Relativistic invariance of the time-domain waveguide modes

Author

Tretyakov, Oleg A. ; Akgun, Ozlem

Author_Institution

Gebze Inst. of Technol., Gebze, Turkey

fYear

2011

fDate

13-20 Aug. 2011

Firstpage

1

Lastpage

4

Abstract

The relativistic invariance of a complete set of time-domain modes under Lorentz transformation is proved. The time-domain modes are exhibited as the particular solutions to the system of Maxwell´s equations with time derivative. The waveguide surface has the properties of perfect electric conductor. The modal fields are presented via transverse-longitudinal decompositions. Every field component is a product of a modal amplitude depending on longitudinal coordinate and time, and an element of modal basis in the waveguide cross section. The modal basis is specified in a general form. Exact explicit solutions for the modal amplitudes are presented.

Keywords

Lorentz transformation; Maxwell equations; conductors (electric); decomposition; waveguides; Lorentz transformation; Maxwell´s equations; modal amplitude; perfect electric conductor; relativistic invariance; time derivative; time-domain modes; time-domain waveguide modes; transverse-longitudinal decompositions; waveguide cross section; waveguide surface; Eigenvalues and eigenfunctions; Equations; Laplace equations; Surface waves; Time domain analysis; Waveguide components;

fLanguage

English

Publisher

ieee

Conference_Titel

General Assembly and Scientific Symposium, 2011 XXXth URSI

Conference_Location

Istanbul

Print_ISBN

978-1-4244-5117-3

Type

conf

DOI

10.1109/URSIGASS.2011.6050487

Filename

6050487