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Electromagnetic Signal Propagation in a Lorentz Dispersive Medium

Ciarkowski A.

International Journal of Electronics and Telecommunications

2011

Vol. 57, No. 3

251-255

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.

On Sommerfeld precursor in a Lorentz medium

Ciarkowski A.

Journal of Technical Physics

2002

Vol. 43, no 2

187-203

A one-dimensional electromagnetic problem of Sommerfeld precursor evolution, resulting from a finite rise-time signal excitation in a dispersive Lorentz medium is considered. The effect of the initial signal rate of growth as well as of the medium dumping on the precursor shape and its magnitude is discussed. The analysis applied is based on an approach employing uniform asymptotic expansions. In addition, new approximate formulas are given for the location of the distant saddle points which affect local frequency and dumping of the precursor. The results obtained are illustrated numerically and compared with the results known from the literature.