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LAYER STRIPPING APPROACH TO RECONSTRUCT SHAPE VARIATIONS IN WAVEGUIDES USING LOCALLY RESONANT FREQUENCIES.
- Source :
- SIAM Journal on Applied Mathematics; 2024, Vol. 84 Issue 1, p75-96, 22p
- Publication Year :
- 2024
-
Abstract
- This article presents a new method to reconstruct slowly varying width defects in two-dimensional waveguides using one-side section measurements at locally resonant frequencies. At these frequencies, locally resonant modes propagate in the waveguide up to a "cut-off"" position. In this particular point, the local width of the waveguide can be recovered. Given multifrequency data measured on a section of the waveguide, we perform an efficient layer stripping approach to recover, section by section, the shape variations. It provides an L infinity-stable method to reconstruct the width of a slowly monotonous varying waveguide. We validate this method on numerical data and discuss its limits. [ABSTRACT FROM AUTHOR]
- Subjects :
- HELMHOLTZ equation
PLANAR waveguides
INVERSE problems
WAVEGUIDES
Subjects
Details
- Language :
- English
- ISSN :
- 00361399
- Volume :
- 84
- Issue :
- 1
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Applied Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- 175928515
- Full Text :
- https://doi.org/10.1137/23M1546336