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PIER PIER B PIER C PIER M PIER Letters PIER Photonics
2010-11-09
Transient Adjoint Sensitivities for Discontinuities with Gaussian Material Distributions
By
Ahmed Gomaa Radwan,

    Dr. Ahmed Gomaa Radwan

    Department of Applied Physics and Mathematics

    Cairo University

    Egypt

    Homepage

Mohamed H. Bakr,

    Professor Mohamed H. Bakr

    Department of Electrical and Computer Engineering

    McMaster University

    Canada

    Homepage

Natalia K. Nikolova

    Dr. Natalia K. Nikolova

    Department of Electrical and Computer Engineering

    McMaster University

    Canada

    Homepage

Progress In Electromagnetics Research B, Vol. 27, 1-19, 2011
doi:10.2528/PIERB10090404 | Google Scholar

Abstract
We present a novel approach for adjoint transient sensitivity analysis with respect to discontinuities with space-dependent materials exhibiting known distribution. Our approach integrates the Time Domain Transmission-Line-Modeling (TD-TLM) with the Adjoint Variable Method (AVM). Using only one extra TD-TLM simulation, the sensitivities of the observed response with respect to all the parameters of the Gaussian distribution are obtained. The accuracy of our sensitivity analysis approach is illustrated through a number of different 2D and 3D examples. Using the previous sensitivities, gradient-based optimization technique is applied to exploit in the location and profile of various inhomogeneous material Gaussian distribution for inverse problems. This method can be repeated for any continuous or discontinuous distributions that exist in electromagnetic imaging for space dependent materials like cancer detection.
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Citation
Ahmed Gomaa Radwan, Mohamed H. Bakr, and Natalia K. Nikolova, "Transient Adjoint Sensitivities for Discontinuities with Gaussian Material Distributions," Progress In Electromagnetics Research B, Vol. 27, 1-19, 2011.
doi:10.2528/PIERB10090404
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