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Proceedings Paper

Imaging with singular electromagnetic beam
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Paper Abstract

Laguerre-Gaussian beams are considered as basis functions for inverse scattering applications. First order perturbation theory is applied to paraxial higher order Gaussian beams. Information about the scattering potential is deduced from the coupling coefficients between otherwise orthogonal modes. This leads to a theoretical description analogous to plane wave diffraction tomography. Differences between the plane wave model and the Laguerre-Gauss formalism highlight both limitations as well as opportunities for applying singular Gaussian beams to the inverse scattering problems. The perturbation analysis is applied to a number of examples illustrating how information about the scattering object can be deduced from measurements of the scattered paraxial field.

Paper Details

Date Published: 5 September 2006
PDF: 10 pages
Proc. SPIE 6316, Image Reconstruction from Incomplete Data IV, 631605 (5 September 2006); doi: 10.1117/12.680837
Show Author Affiliations
Markus E. Testorf, Dartmouth College (United States)
Canh Ly, U.S. Army Research Lab. (United States)
Joseph N. Mait, U.S. Army Research Lab. (United States)


Published in SPIE Proceedings Vol. 6316:
Image Reconstruction from Incomplete Data IV
Philip J. Bones; Michael A. Fiddy; Rick P. Millane, Editor(s)

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