Electromagnetic Signal Propagation in a Lorentz Dispersive Medium

This work is concerned with the propagation of rapidly oscillating electromagnetic (EM) signal in a Lorentz dispersive medium. The problem considered here is 1-dimensional and its exact solution is described by a contour integral defined in a complex frequency plane. With the use of uniform asymptotic techniques, approximate representation for the total field consisting of the Sommerfeld and Brillouin precursors and the main signal is obtained. The effect of the rate of envelope changes, as well as of carrier frequency on the shape of the total signal is examined.