论文标题

使用局部共振频率在波导中重建形状缺陷的层剥离方法

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

论文作者

Niclas, Angèle, Seppecher, Laurent

论文摘要

本文提出了一种新的方法,该方法使用局部共振频率的一侧测量值重建2D波导中的宽度缺陷。在这些频率下,局部共振模式在波导中传播到“切断”位置。在这个特定点,可以恢复波导的局部宽度。给定在波导的一部分上进行的多频测量,我们执行有效的层剥离方法,以恢复形状变化切片。它提供了一种无限稳定的方法,可以重建缓慢单调变化的波导的宽度。我们在数值数据上验证了该方法并讨论其限制。

This article present a new method to reconstruct slowly varying width defects in 2D 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 multi-frequency measurements taken on a section of the waveguide, we perform an efficient layer stripping approach to recover shape variations slice by slice. It provides an L infinite-stable method to reconstruct the width of a slowly monotonous varying waveguide. We validate this method on numerical data and discuss its limits.

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