Relativistic invariance of the time-domain waveguide modes

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. © 2011 IEEE. © 2011 Elsevier B.V., All rights reserved.