Title	Evanescence, Translation, and Uncertainty Principles in the Inverse Source Problem
Creator	Sylvester, John
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-02T11:11
Description	"The inverse source problem for the Helmholtz equation (time harmonic wave equation) seeks to recover information about a radiating source from remote observations of a monochromatic (single frequency) radiated wave measured far from the source (the far field). The two properties of far fields that we use to deduce information about shape and location of sources depend on the physical phenomenon of evanescence, which limits imaging resolution to the size of a wavelength, and the formula for calculating how a far field changes when the source is translated. We will show how adaptations of ""uncertainty principles"", as described by Donoho and Stark [1] provide a very useful and simple tool for this kind of analysis. This is joint work with Roland Griesmaier. [1] Donoho and Stark -- Uncertainty Principles and Signal Recovery SJAP 1989"
Extent	35 minutes
Subject	Mathematics; Partial differential equations; Global analysis, analysis on manifolds
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Washington
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2017-01-26
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340031
URI	http://hdl.handle.net/2429/59854
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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Evanescence, Translation, and Uncertainty Principles in the Inverse Source Problem Sylvester, John

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