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Frame-based multi-scale Gaussian beams, wavefield approximation and boundary value problems de Hoop, Maarten
Description
We construct a frame of wave-atom-like multi-scale Gaussian beams following the dyadic parabolic decomposition of phase space. With this frame we generate a parametrix for the wave equation and study the approximate solution of the Cauchy initial value problem. We provide a natural estimate in terms of the scale parameter which is of order $-\sfrac{1}{2}$. We then introduce the notion of well-spread families of multi-scale Gaussian beam parameters. These families enable the generation of approximate solutions to boundary value problems with the natural error estimate. We show an application of this result in reverse-time-migration type imaging with wavefield reconstruction of seismic array data. joint work with Michele Berra and Jos\'{e}-Luis Romero
Item Metadata
Title |
Frame-based multi-scale Gaussian beams, wavefield approximation and boundary value problems
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-11-02T16:30
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Description |
We construct a frame of wave-atom-like multi-scale Gaussian beams
following the dyadic parabolic decomposition of phase space. With this
frame we generate a parametrix for the wave equation and study the
approximate solution of the Cauchy initial value problem. We provide a
natural estimate in terms of the scale parameter which is of order
$-\sfrac{1}{2}$. We then introduce the notion of well-spread families
of multi-scale Gaussian beam parameters. These families enable the
generation of approximate solutions to boundary value problems with
the natural error estimate. We show an application of this result in
reverse-time-migration type imaging with wavefield reconstruction of
seismic array data.
joint work with Michele Berra and Jos\'{e}-Luis Romero
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Extent |
52 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Rice University
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Series | |
Date Available |
2017-06-06
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0348102
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International