Abstract

A fast, accurate numerical algorithm based on the Laplace transform is presented. By using this algorithm, the high-frequency structure present at the onset of the precursor field for both the delta-function pulse and the unit-step-function-modulated signal has been resolved. A comparison of the results with those obtained by modern asymptotic techniques demonstrates the ability of this numerical method to resolve the high-frequency structure associated with the onset of the Sommerfeld precursor field.

© 1989 Optical Society of America

Noninstantaneous, finite rise-time effects on the precursor field formation in linear dispersive pulse propagation

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Uniform asymptotic description of electromagnetic pulse propagation in a linear dispersive medium with absorption (the Lorentz medium)

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