Sensing and Multiscale Structure

We introduce a method of estimating parameters associated with a fractal random scattering medium, which utilizes the multiscale properties of the scattered field. The example of ray-density fluctuations beyond a phase screen with fractal slope is considered. An exact solution to the forward problem...

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Bibliographic Details
Main Author: Fletcher, John F. A.
Format: Report
Language:unknown
Published: arXiv 2012
Subjects:
Optics physics.optics
FOS Physical sciences
Sea ice
Online Access:https://dx.doi.org/10.48550/arxiv.1204.0666
https://arxiv.org/abs/1204.0666
id ftdatacite:10.48550/arxiv.1204.0666
record_format openpolar
spelling ftdatacite:10.48550/arxiv.1204.0666 2023-05-15T18:18:05+02:00 Sensing and Multiscale Structure Fletcher, John F. A. 2012 https://dx.doi.org/10.48550/arxiv.1204.0666 https://arxiv.org/abs/1204.0666 unknown arXiv arXiv.org perpetual, non-exclusive license http://arxiv.org/licenses/nonexclusive-distrib/1.0/ Optics physics.optics FOS Physical sciences Preprint Article article CreativeWork 2012 ftdatacite https://doi.org/10.48550/arxiv.1204.0666 2022-04-01T13:49:47Z We introduce a method of estimating parameters associated with a fractal random scattering medium, which utilizes the multiscale properties of the scattered field. The example of ray-density fluctuations beyond a phase screen with fractal slope is considered. An exact solution to the forward problem, in the case of the Brownian fractal, leads to an expression for the volatility of the slope. This expression is invariant under a change of probability measure, a fact which gives rise to the corresponding result for a (stationary) Ornstein-Uhlenbeck slope. We demonstrate that our analytical results are consistent with numerical simulations. Finally, an application to the determination of sea ice thickness via sonar is discussed. Report Sea ice DataCite Metadata Store (German National Library of Science and Technology)
institution Open Polar
collection DataCite Metadata Store (German National Library of Science and Technology)
op_collection_id ftdatacite
language unknown
topic Optics physics.optics
FOS Physical sciences
spellingShingle Optics physics.optics
FOS Physical sciences
Fletcher, John F. A.
Sensing and Multiscale Structure
topic_facet Optics physics.optics
FOS Physical sciences
description We introduce a method of estimating parameters associated with a fractal random scattering medium, which utilizes the multiscale properties of the scattered field. The example of ray-density fluctuations beyond a phase screen with fractal slope is considered. An exact solution to the forward problem, in the case of the Brownian fractal, leads to an expression for the volatility of the slope. This expression is invariant under a change of probability measure, a fact which gives rise to the corresponding result for a (stationary) Ornstein-Uhlenbeck slope. We demonstrate that our analytical results are consistent with numerical simulations. Finally, an application to the determination of sea ice thickness via sonar is discussed.
format Report
author Fletcher, John F. A.
author_facet Fletcher, John F. A.
author_sort Fletcher, John F. A.
title Sensing and Multiscale Structure
title_short Sensing and Multiscale Structure
title_full Sensing and Multiscale Structure
title_fullStr Sensing and Multiscale Structure
title_full_unstemmed Sensing and Multiscale Structure
title_sort sensing and multiscale structure
publisher arXiv
publishDate 2012
url https://dx.doi.org/10.48550/arxiv.1204.0666
https://arxiv.org/abs/1204.0666
genre Sea ice
genre_facet Sea ice
op_rights arXiv.org perpetual, non-exclusive license
http://arxiv.org/licenses/nonexclusive-distrib/1.0/
op_doi https://doi.org/10.48550/arxiv.1204.0666
_version_ 1766194328010489856

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