Refraction angle calculation in multi-layered ice for wide-beam airborne radar
We propose an algorithm to calculate the refraction path travelled by a signal from a source to a remote scatterer, through a horizontally parallel multilayer medium with vertical-varying refractive index. The exact solution in a simple two-layered medium requires solving a degree-4 polynomial accor...
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ftnerc:oai:nora.nerc.ac.uk:522073 2023-05-15T13:41:42+02:00 Refraction angle calculation in multi-layered ice for wide-beam airborne radar Arenas-Pingarron, Alvaro Brennan, Paul V. Corr, Hugh 2018 text http://nora.nerc.ac.uk/id/eprint/522073/ https://nora.nerc.ac.uk/id/eprint/522073/1/IGARSS18_aap_4May_2.pdf en eng IEEE https://nora.nerc.ac.uk/id/eprint/522073/1/IGARSS18_aap_4May_2.pdf Arenas-Pingarron, Alvaro; Brennan, Paul V.; Corr, Hugh. 2018 Refraction angle calculation in multi-layered ice for wide-beam airborne radar. In: IEEE International Geoscience and Remote Sensing Symposium (IGARSS) , Valencia, Spain, July 22-27, 2018. New York, IEEE, 4146-4149. Mathematics Publication - Book Section NonPeerReviewed 2018 ftnerc 2023-02-04T19:47:38Z We propose an algorithm to calculate the refraction path travelled by a signal from a source to a remote scatterer, through a horizontally parallel multilayer medium with vertical-varying refractive index. The exact solution in a simple two-layered medium requires solving a degree-4 polynomial according to Snell's law, meaning a time-demanding solution. For narrow-beam sources a small-angle approximation is commonly used. In this new technique, we transformed the governing equations until the system can be solved by intersection of two curves. As these are monotonic with opposite slope, the crossing point can be estimated by iteration, with a minimum search algorithm. This method has been applied to focus synthetic aperture radar images of the Antarctic bedrock, improving the detected response in the wide-beam case, and reducing time regarding to compute the polynomial solution. Book Part Antarc* Antarctic Natural Environment Research Council: NERC Open Research Archive Antarctic The Antarctic |
institution |
Open Polar |
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Natural Environment Research Council: NERC Open Research Archive |
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ftnerc |
language |
English |
topic |
Mathematics |
spellingShingle |
Mathematics Arenas-Pingarron, Alvaro Brennan, Paul V. Corr, Hugh Refraction angle calculation in multi-layered ice for wide-beam airborne radar |
topic_facet |
Mathematics |
description |
We propose an algorithm to calculate the refraction path travelled by a signal from a source to a remote scatterer, through a horizontally parallel multilayer medium with vertical-varying refractive index. The exact solution in a simple two-layered medium requires solving a degree-4 polynomial according to Snell's law, meaning a time-demanding solution. For narrow-beam sources a small-angle approximation is commonly used. In this new technique, we transformed the governing equations until the system can be solved by intersection of two curves. As these are monotonic with opposite slope, the crossing point can be estimated by iteration, with a minimum search algorithm. This method has been applied to focus synthetic aperture radar images of the Antarctic bedrock, improving the detected response in the wide-beam case, and reducing time regarding to compute the polynomial solution. |
format |
Book Part |
author |
Arenas-Pingarron, Alvaro Brennan, Paul V. Corr, Hugh |
author_facet |
Arenas-Pingarron, Alvaro Brennan, Paul V. Corr, Hugh |
author_sort |
Arenas-Pingarron, Alvaro |
title |
Refraction angle calculation in multi-layered ice for wide-beam airborne radar |
title_short |
Refraction angle calculation in multi-layered ice for wide-beam airborne radar |
title_full |
Refraction angle calculation in multi-layered ice for wide-beam airborne radar |
title_fullStr |
Refraction angle calculation in multi-layered ice for wide-beam airborne radar |
title_full_unstemmed |
Refraction angle calculation in multi-layered ice for wide-beam airborne radar |
title_sort |
refraction angle calculation in multi-layered ice for wide-beam airborne radar |
publisher |
IEEE |
publishDate |
2018 |
url |
http://nora.nerc.ac.uk/id/eprint/522073/ https://nora.nerc.ac.uk/id/eprint/522073/1/IGARSS18_aap_4May_2.pdf |
geographic |
Antarctic The Antarctic |
geographic_facet |
Antarctic The Antarctic |
genre |
Antarc* Antarctic |
genre_facet |
Antarc* Antarctic |
op_relation |
https://nora.nerc.ac.uk/id/eprint/522073/1/IGARSS18_aap_4May_2.pdf Arenas-Pingarron, Alvaro; Brennan, Paul V.; Corr, Hugh. 2018 Refraction angle calculation in multi-layered ice for wide-beam airborne radar. In: IEEE International Geoscience and Remote Sensing Symposium (IGARSS) , Valencia, Spain, July 22-27, 2018. New York, IEEE, 4146-4149. |
_version_ |
1766154296366202880 |