Dependence of the Brillouin precursor form on the initial signal rise time

Details Dependence of the Brillouin precursor form on the initial signal rise time Dependence of the Brillouin precursor form on the initial signal rise time

2004-12-08

arxiv.org/abs/physics/0412049v1

journal of Technical Physics, 44, 2, 181-192 (2003)

Physics

Optics

14 pages, 5 figures

Scientific paper

Propagation of a Brillouin precursor in a Lorentz dispersive medium is considered. The precursor is excited by a sine modulated initial signal, with its envelope described by a hyperbolic tangent function. The purpose of the paper is to show how the rate of growth of the initial signal affects the form of the Brillouin precursor. Uniform asymptotic approach, pertinent to coalescing saddle points, is applied in the analysis. The results are illustrated with numerical examples.

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