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This article present a new method to reconstruct slowly varying width defectsin 2D waveguides using one-side section measurements at locally resonantfrequencies. At these frequencies, locally resonant modes propagate in thewaveguide up to a "cut-off" position. In this particular point, the local widthof the waveguide can be recovered. Given multi-frequency measurements taken ona section of the waveguide, we perform an efficient layer stripping approach torecover shape variations slice by slice. It provides an L infinite-stablemethod to reconstruct the width of a slowly monotonous varying waveguide. Wevalidate this method on numerical data and discuss its limits.

Layer stripping approach to reconstruct shape defects in waveguides using locally resonant frequencies