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Electromagnetic Field Imaging in Arbitrary Scattering Environments

Sastry, Karteekeya and Bhat, Chandan and Solimene, Raffaele and Khankhoje, Uday K. (2021) Electromagnetic Field Imaging in Arbitrary Scattering Environments. IEEE Transactions on Computational Imaging, 7 . pp. 224-233. ISSN 2333-9403. doi:10.1109/tci.2021.3055982.

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In this article, we propose a method to reconstruct the total electromagnetic field in an arbitrary two-dimensional scattering environment without any prior knowledge of the incident field or the permittivities of the scatterers. However, we assume that the region between the scatterers is homogeneous and that the approximate geometry describing the environment is known. Our approach uses field measurements and a compressive sensing inspired algorithm to estimate the incident field and the tangential electric and magnetic fields on the scatterers' surfaces. These estimates are then used to predict the field everywhere using Huygens' principle. Further, we identify the best measurement locations in the environment, which reduces the estimation error to approximately half of the error obtained when using random locations. We show that in an indoor scenario with up to four scattering objects, the total electric field is recovered with less than 10% error when the number of measurements is just 0.3 times the number of unknowns in which the problem is formulated. The formulated problem is solved using `Total field - Compressive sensing based subspace optimization method' - an algorithm that leverages the sparsity of the tangential fields in known transformation domains to obtain an optimal solution.

Item Type:Article
Related URLs:
URLURL TypeDescription
Sastry, Karteekeya0000-0001-7659-4878
Bhat, Chandan0000-0002-6310-6959
Solimene, Raffaele0000-0003-1808-4671
Khankhoje, Uday K.0000-0002-9629-3922
Additional Information:© 2021 IEEE. Manuscript received August 22, 2020; revised November 29, 2020; accepted January 27, 2021. Date of publication February 1, 2021; date of current version February 19, 2021. This work was supported by the Microwave Inverse Scattering for Breast Cancer Detection project through the Science and Engineering Research Board, Department of Science and Technology, Government of India, under Grant ECR/2018/001953. The associate editor coordinating the review of this manuscript and approving it for publication was Dr. Ilaria Catapano.
Funding AgencyGrant Number
Science and Engineering Research Board (SERB)UNSPECIFIED
Department of Science and Technology (India)ECR/2018/001953
Subject Keywords:Compressive sensing, electromagnetic fields, sensor placement, subspace optimization
Record Number:CaltechAUTHORS:20210318-092625706
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Official Citation:K. Sastry, C. Bhat, R. Solimene and U. K. Khankhoje, "Electromagnetic Field Imaging in Arbitrary Scattering Environments," in IEEE Transactions on Computational Imaging, vol. 7, pp. 224-233, 2021, doi: 10.1109/TCI.2021.3055982
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:108476
Deposited By: Tony Diaz
Deposited On:19 Mar 2021 18:47
Last Modified:19 Mar 2021 18:47

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