Compressive sensing approaches for the prediction of scattered electromagnetic fields
| Autor: | Uday K. Khankhoje, Chandan Bhat, Karteekeya Sastry |
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| Rok vydání: | 2020 |
| Předmět: |
Electromagnetic field
Physics Field (physics) Scattering business.industry Mathematical analysis Surface integral 01 natural sciences Atomic and Molecular Physics and Optics Electronic Optical and Magnetic Materials 010309 optics Compressed sensing Optics 0103 physical sciences Ray tracing (graphics) Computer Vision and Pattern Recognition business Phase retrieval Subspace topology |
| Zdroj: | Journal of the Optical Society of America. A, Optics, image science, and vision. 37(7) |
| ISSN: | 1520-8532 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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