Abstract

A fast, hybrid numerical–asymptotic algorithm for the calculation of the dynamical field evolution that is due to an arbitrary input pulse in any linear dispersive, attenuative medium is presented. The algorithm combines the numerical efficiency of the fast-Fourier-transform algorithm over a finite frequency domain that encompasses all the medium resonances with the accuracy and analytical efficiency of the asymptotic description that fully accounts for the high-frequency structure above the highest resonance that is characteristic of the dispersive medium.

© 1998 Optical Society of America

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

Kurt Edmund Oughstun and George C. Sherman
J. Opt. Soc. Am. A 6(9) 1394-1420 (1989)

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

Kurt Edmund Oughstun
J. Opt. Soc. Am. A 12(8) 1715-1729 (1995)

Dispersive pulse propagation in a double-resonance Lorentz medium

Shioupyn Shen and Kurt Edmund Oughstun
J. Opt. Soc. Am. B 6(5) 948-963 (1989)

Numerical determination of the signal velocity in dispersive pulse propagation

Kurt E. Oughstun, Philippe Wyns, and Daniel Foty
J. Opt. Soc. Am. A 6(9) 1430-1440 (1989)

Asymptotic description of pulsed ultrawideband electromagnetic beam field propagation in dispersive, attenuative media

Kurt Edmund Oughstun
J. Opt. Soc. Am. A 18(7) 1704-1713 (2001)