Transient Electromagnetic Wave Propagation in Waveguides

This paper focuses on propagation of transient electromagnetic waves in waveguides
of general cross section with perfectly conducting walls. The solution of
the transient wave propagation problem relies on a wave splitting technique,
which has been frequently used in direct and inverse scattering problems during
the last decade. The field in the waveguide is represented as a time
convolution of a Green function and the excitation. Some numerical computations
illustrate the method. Anew way of calculating the first precursor
in a Lorentz medium is presented. This method, which is not based upon
the classical asymptotic methods, gives an expression of the first precursor at
all depths in the medium. The excitation of the waveguide modes for time
dependent sources is also addressed.