You are invited to attend a lecture
Beam-Based Local Tomographic Inverse Scattering
:By
Ram Tuvi
(Ph.D. student Under the joint supervision of Prof. Ehud Heyman of the Faculty of Engineering, TAU, and Prof. Timor Melamed of the Electrical and Computer Engineering Dept, BGU)
Abstract
We present a novel strategy for local-tomographic inverse scattering using of beam-wave processing. We actually formulate two self-consistent inversion schemes: a multi-frequency scheme which is used if the scattering data is given as a function of frequency over a wide frequency band, and a time domain scheme which used if the data is given in the short-pulse time domain.
The frequency domain scheme utilizes a phase-space set of iso-diffracting Gaussian beams (ID-GB) while the time domain scheme utilizes a phase-space set of iso-diffracting pulsed beams (ID-PB). The term iso-diffracting implies that the propagation parameters of these beams are frequency independent and need to be calculated only once and then used for all frequencies.
The theory is structured upon frame theory: It is shown that both the ID-GB set and the ID-PB set constitute frames everywhere in the propagation domain, and thus can be used for local expansion of fields or sources, as an alternative to the conventional plane-wave transforms. They also generalize the standard window Fourier transform frames and the windowed Radon transforms frames.
In the inversion schemes, these "beam frames" are utilized for local phase-space pre-processing of the scattering data, and then for local "filtered-backpropagation" and medium reconstruction. A cogent physical interpretation of these operations is obtained via asymptotic analysis. The efficacy and accuracy of these beam formulations are explored via numerical examples.
On Thursday, Dec 6th, 2018, 15:00
Room 011, Kitot building