Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations

Problems that arise out of an industrial context normally have clear cut objectives, and the results are usually important in context but of limited general interest. Sometimes, however, the investigations lead to results that are both unexpected and of much broader interest. Two such investigations...

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Main Author: Neville Fowkes
Format: Article
Language:English
Published: ITB Journal Publisher 2014-12-01
Series:Journal of Mathematical and Fundamental Sciences
Subjects:
Online Access:http://journals.itb.ac.id/index.php/jmfs/article/view/568
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spelling doaj-884d7444571d488ebb5c70d92251af6c2020-11-24T21:26:01ZengITB Journal PublisherJournal of Mathematical and Fundamental Sciences2337-57602338-55102014-12-0146323525010.5614/j.math.fund.sci.2014.46.3.3Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential EquationsNeville Fowkes0Mathematics Department, University of Western Australia, Crawley, WA 6009, AustraliaProblems that arise out of an industrial context normally have clear cut objectives, and the results are usually important in context but of limited general interest. Sometimes, however, the investigations lead to results that are both unexpected and of much broader interest. Two such investigations are described here. In the first problem an investigation of the propagation of light rays across the ocean leads to new results concerning optical distortion. In the second problem a surface tension investigation leads to an entirely new technique for solving partial differential equations.http://journals.itb.ac.id/index.php/jmfs/article/view/568Optical refractionboundary tracingpartial differential equationsexact solutions
collection DOAJ
language English
format Article
sources DOAJ
author Neville Fowkes
spellingShingle Neville Fowkes
Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations
Journal of Mathematical and Fundamental Sciences
Optical refraction
boundary tracing
partial differential equations
exact solutions
author_facet Neville Fowkes
author_sort Neville Fowkes
title Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations
title_short Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations
title_full Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations
title_fullStr Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations
title_full_unstemmed Unexpected Outcomes: Propagating Light Rays in the Atmosphere, a New Technique for Solving Partial Differential Equations
title_sort unexpected outcomes: propagating light rays in the atmosphere, a new technique for solving partial differential equations
publisher ITB Journal Publisher
series Journal of Mathematical and Fundamental Sciences
issn 2337-5760
2338-5510
publishDate 2014-12-01
description Problems that arise out of an industrial context normally have clear cut objectives, and the results are usually important in context but of limited general interest. Sometimes, however, the investigations lead to results that are both unexpected and of much broader interest. Two such investigations are described here. In the first problem an investigation of the propagation of light rays across the ocean leads to new results concerning optical distortion. In the second problem a surface tension investigation leads to an entirely new technique for solving partial differential equations.
topic Optical refraction
boundary tracing
partial differential equations
exact solutions
url http://journals.itb.ac.id/index.php/jmfs/article/view/568
work_keys_str_mv AT nevillefowkes unexpectedoutcomespropagatinglightraysintheatmosphereanewtechniqueforsolvingpartialdifferentialequations
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