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<span style="font-size: 14pt;"><b><i>"Inverse Scattering Problems: A framework for high-resolution parameter reconstruction"</i></b></span>
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<div class="ContentPasted0"><span style="font-size: 14pt;"><b>Carlos Borges</b></span></div>
<div class="ContentPasted0"><span style="font-size: 10pt;">College of Sciences, </span><span style="font-size: 10pt;">University of Central Florida (UCF)</span></div>
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<div class="ContentPasted0">Please feel free to forward/share this invitation with other groups/disciplines that might be interested in this talk/topic.
<b>All are welcome to attend. </b></div>
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<div class="ContentPasted0">NOTE: In-person attendance is requested. Zoom access is intended for external (non-departmental) participants only.
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<div class="ContentPasted0"><b>https://fsu.zoom.us/j/94273595552 </b></div>
<div class="ContentPasted0">Meeting # <b>942 7359 5552 </b></div>
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<div class="ContentPasted0">🎦 Colloquium recordings will be made available here,
<a href="https://www.sc.fsu.edu/colloquium">https://www.sc.fsu.edu/colloquium</a></div>
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<div class="ContentPasted0"><b>Wednesday, Dec 06</b>, 2023, Schedule: </div>
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<div class="ContentPasted0">* <b>3:00 to 3:30</b> PM Eastern Time (US and Canada)
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<div class="ContentPasted0"><b>☕ Nespresso & Teatime - 417 DSL Commons </b></div>
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<div class="ContentPasted0">* <b>3:30 to 4:30</b> PM Eastern Time (US and Canada)
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<div class="ContentPasted0"><b>🕟 Colloquium - 499 DSL Seminar Room </b></div>
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<div class="ContentPasted0"><b>Abstract: </b></div>
<div class="ContentPasted0">We present a fast, accurate, and stable algorithm for the solution of the inverse acoustic scattering problems. Given full aperture far field measurements of the scattered field for multiple angles of incidence, we use a continuation-in-frequency
scheme based in Chen's method of recursive linearization to reconstruct unknown parameters of a domain with high resolution in a fully nonlinear regime. Despite the fact that the underlying optimization problem is formally ill-posed, non-linear, and non-convex,
our scheme requires only the solution of a sequence of linear least squares problems at successively higher frequencies. By seeking a suitably band-limited approximation of the parameters, the solution of each iteration of the nonlinear optimization method
is well-conditioned and involves the solution of forward scattering problems, for which we employ fast analysis-based solvers to solve integral representations to a PDE. We present compelling results obtained through the application of our framework to various
manifestations of the inverse scattering problem, encompassing both penetrable and impenetrable obstacles in two dimensions. Our findings underscore the adaptability of the framework, showcasing its potential extension to three-dimensional problems—an exciting
avenue for future exploration in our ongoing research endeavors.</div>
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<div class="ContentPasted0">Additional colloquium details can be found here, </div>
<a href="https://www.sc.fsu.edu/news-and-events/colloquium/1765-colloquium-with-carlos-borges-2023-12-06">https://www.sc.fsu.edu/news-and-events/colloquium/1765-colloquium-with-carlos-borges-2023-12-06</a><br>
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