Wideband Pulse Propagation in Linear Dispersive Bio-dielectrics Using Fourier Transforms
Abstract
We describe calculations of a plane-wave pulse train of finite duration in a linear lossy dispersive dielectric half-space by means of Fourier integral transforms. The polarization response of Debye and Lorentz media to a finite number of sinewave pulses and the response of a Lorentz medium to a single Gaussian modulated sinewave pulse are given. These solutions are formulated for the case of normal incidence to the planar boundary of a dielectric half-space. Our results show that the Fourier transform accurately reproduces precursor phenomena previously observed for infinitely periodic pulse trains using the Fourier series method extending the analysis to a periodic waveforms. These results can be computed to arbitrary accuracy because the Fourier integral representation of the propagated pulse is exact, i.e. no analytical or physical approximations are used to arrive at the time-domain solution. We believe that this numerical tool will be useful in developing physical intuition about the dynamics of pulse propagation in bio-tissue which is now made possible by the availability of high-speed computer hardware.
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1999
- Accession Number
- ADA371944
Entities
People
- John P. Franzen
Organizations
- Air Force Research Laboratory