In this paper, wave propagation of electromagnetic pulses in media that are periodic in one spatial direction is analyzed by a time domain technique. The special case of wave propagation in an inhomogeneous planar waveguide with perfectly conducting walls is also discussed. The wave equation is reduced to a set of one dimensional first order hyperbolic equations by an expansion in a complete set of basis functions and by utilizing a wave splitting technique. The method is especially useful for the propagation of broad pulses.
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