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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2010-06-02
A Novel Phase Retrieval Approach for Electromagnetic Inverse Scattering Problem with Intensity-Only Data
By
Yin Xiang,

    Dr. Yin Xiang

    Institute of Electronics, Chinese Academy of Sciences

    China

    Homepage

Lianlin Li,

    Prof. Lianlin Li

    Texas A&M University

    USA

    Homepage

Fang Li

    Prof. Fang Li

    Institute of Electronics, Chinese Academy of Sciences

    China

    Homepage

Progress In Electromagnetics Research M, Vol. 12, 229-245, 2010
doi:10.2528/PIERM10030704 | Google Scholar

Abstract
To measure the phase of signal with very high working frequency such as THz, and optics band is still a challenging problem. In this paper, based on the relationship between radiating current and measured intensity of electrical field a novel phase retrieval algorithm has been developed. As opposed to the existing approaches of phase retrieval where usually the Fourier coefficients of measured data will be firstly reconstructed, the proposed approach is to reconstruct the so-called radiating currents, with more physical meaning than the former. It has a much smaller number of freedoms of radiating current than that of measurements, which means that the obtained equations are over-determined. Thus one can efficiently model the intensity of measured electric field via the radiating part, and reconstruct it quickly and stably. The novelty is that this physical consideration 1) leads to efficiently avoiding false solutions due to the ill-posedness of phase retrieval problem, and 2) offers a good initial guess for inverse scattering based imaging algorisms. Importantly, a closed-form formulation of phase retrieve also has been derived when the intensity of incident wave is much stronger than one of the scattered wave, for example, for the weak scattering objects. Finally, several numerical experiments are provided to show the high performance of proposed algorithm.
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Citation
Yin Xiang, Lianlin Li, and Fang Li, "A Novel Phase Retrieval Approach for Electromagnetic Inverse Scattering Problem with Intensity-Only Data," Progress In Electromagnetics Research M, Vol. 12, 229-245, 2010.
doi:10.2528/PIERM10030704
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