Inverse scattering from phaseless measurements of the total field on open lines
A new solution approach to inverse scattering from aspect-limited phaseless measurements of the total field is introduced and discussed. In analogy with the case of measurements on closed curves [J. Opt. Soc. Am. A21, 622 (2004)], the procedure splits the problem into two different steps. In the fir...
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Veröffentlicht in: | Journal of the Optical Society of America. A, Optics, image science, and vision Optics, image science, and vision, 2006-10, Vol.23 (10), p.2566-2577 |
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container_title | Journal of the Optical Society of America. A, Optics, image science, and vision |
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creator | BUCCI, Ovidio Mario CROCCO, Lorenzo D'URSO, Michele ISERNIA, Tommaso |
description | A new solution approach to inverse scattering from aspect-limited phaseless measurements of the total field is introduced and discussed. In analogy with the case of measurements on closed curves [J. Opt. Soc. Am. A21, 622 (2004)], the procedure splits the problem into two different steps. In the first step, amplitude and phase of the scattered field are estimated from only amplitude information of the total field. By properly extending the concept of reduced radiated field to the case of scattered fields (as a function of both illumination and measurement variables) and taking advantage of the properties of the square amplitude distribution of the total field, criteria are given for an optimal choice of the measurement setup and a successful retrieval. Then the complex permittivity profile is reconstructed in the second step, starting from the scattered fields estimated in the previous step. Numerical examples are provided to assess the effectiveness of the whole chain in the presence of noise-corrupted data and the relevance of the representation introduced for the scattered fields. |
doi_str_mv | 10.1364/JOSAA.23.002566 |
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In analogy with the case of measurements on closed curves [J. Opt. Soc. Am. A21, 622 (2004)], the procedure splits the problem into two different steps. In the first step, amplitude and phase of the scattered field are estimated from only amplitude information of the total field. By properly extending the concept of reduced radiated field to the case of scattered fields (as a function of both illumination and measurement variables) and taking advantage of the properties of the square amplitude distribution of the total field, criteria are given for an optimal choice of the measurement setup and a successful retrieval. Then the complex permittivity profile is reconstructed in the second step, starting from the scattered fields estimated in the previous step. 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subjects | Diffraction and scattering Exact sciences and technology Fundamental areas of phenomenology (including applications) Optics Physics Wave optics |
title | Inverse scattering from phaseless measurements of the total field on open lines |
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