Title :
Pulse propagation in dispersive media
Author_Institution :
City Univ. of New York, NY, USA
Abstract :
We give a simple formula for the calculation of the moments of a propagating pulse in a dispersive medium. Both the spatial and time moments are considered. Explicit formulas are derived for the spatial spreading of a propagating pulse and also for the duration of the pulse at a fixed position in space. In addition, we give formulas for the calculation of the instantaneous frequency of a pulse at a given position. A number of simple examples are used to illustrate the formulas derived
Keywords :
dispersive media; electromagnetic wave propagation; linear differential equations; partial differential equations; dispersive media; instantaneous frequency; linear partial DE; pulse duration; pulse propagation; spatial moments; spatial spreading; time moments; Damping; Delay effects; Dispersion; Frequency; NASA; Optical fibers; Optical pulses; Partial differential equations; Radar; Sonar;
Conference_Titel :
Statistical Signal and Array Processing, 2000. Proceedings of the Tenth IEEE Workshop on
Conference_Location :
Pocono Manor, PA
Print_ISBN :
0-7803-5988-7
DOI :
10.1109/SSAP.2000.870172
