T. Melamed, E. Heyman,
Dept. of Electrical Engineering -- Physical Electronics, Tel-Aviv University
Tel-Aviv 69978, Israel
This paper is concerned with the spectral content of short-pulse field
scattered from an inhomogeneous medium. Direct diffraction tomography type
relations between the time-dependent data and the medium are determined via two
spectral formulations: A time-dependent plane-wave spectrum and a local
phase-space spectrum. The former is formulated in the Radon space where in the
time-dependent plane-wave spectrum of the data is directly related to the Radon
transform of the medium. The latter is formulated as a local Radon transform in
the space-time domain, wherein scattered pulsed beams (space-time wavepackets)
are directly related to localized scattering subdomains. This result leads to
the formulation of a local inverse scattering schemes wherein pulsed beams are
backpropagated and focused to form local images of any desirable region.
AGU
Index Terms: 0629 Inverse Scattering; Mineralogy, Petrology, and Rock Chemistry; 0684
Transient and time domain; 3260 Inverse theory; 6982 Tomography and imaging
Keywords/Free Terms: Time-domain, diffraction tomography, pulsed beams.
Radio
Science 96RS03649
Vol. 32 , No. 2 , p. 593