Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Compressive sensing approaches for the prediction of scattered electromagnetic fields

Not Accessible

Your library or personal account may give you access

Abstract

We present a novel method based on Huygens’ principle and compressive sensing to predict the electromagnetic (EM) fields in arbitrary scattering environments by making a few measurements of the field. In doing so, we assume a homogeneous medium between the scatterers, though we do not assume prior knowledge of the permittivities or the exact geometry of the scatterers. The major contribution of this work is a compressive sensing-based subspace optimization method (CS-SOM). Using this, we show that the EM fields in an indoor situation with up to four scattering objects can be reconstructed with approximately 12% error, when the number of measurements is only 55% of the number of variables used to formulate the problem. Our technique departs significantly from traditional ray tracing approaches. We use a surface integral formulation which captures wave-matter interactions exactly, leverage compressive sensing techniques so that field measurements at a few random locations suffice, and apply Huygens’ principle to predict the fields at any location in space.

© 2020 Optical Society of America

Full Article  |  PDF Article
More Like This
Field-only surface integral equations: scattering from a perfect electric conductor

Qiang Sun, Evert Klaseboer, Alex J. Yuffa, and Derek Y. C. Chan
J. Opt. Soc. Am. A 37(2) 276-283 (2020)

Iteratively reweighted ℓ1−ℓ2 norm minimization using wavelets in inverse scattering

Yash Sanghvi, Hrishitosh Bisht, Uday K. Khankhoje, V. M. Gadre, and S. V. Kulkarni
J. Opt. Soc. Am. A 37(4) 680-687 (2020)

Imaging sparse metallic cylinders through a local shape function Bayesian compressive sensing approach

Lorenzo Poli, Giacomo Oliveri, and Andrea Massa
J. Opt. Soc. Am. A 30(6) 1261-1272 (2013)

Cited By

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Figures (8)

You do not have subscription access to this journal. Figure files are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Tables (2)

You do not have subscription access to this journal. Article tables are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (16)

You do not have subscription access to this journal. Equations are available to subscribers only. You may subscribe either as an Optica member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved