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Title: On fast reconstruction of periodic structures with partial scattering data
This paper presents a numerical method for solving the inverse problem of reconstructing the shape of periodic structures from scattering data. This inverse problem is motivated by applications in the nondestructive evaluation of photonic crystals. The numerical method belongs to the class of sampling methods that aim to construct an imaging function for the shape of the periodic structure using scattering data. By extending the results of Nguyen, Stahl, and Truong [Inverse Problems, 39:065013, 2023], we studied a simple imaging function that uses half the data required by the numerical method in the cited paper. Additionally, this imaging function is fast, simple to implement, and very robust against noise in the data. Both isotropic and anisotropic cases were investigated, and numerical examples were presented to demonstrate the performance of the numerical method.  more » « less
Award ID(s):
2243854
PAR ID:
10574366
Author(s) / Creator(s):
; ; ; ; ;
Publisher / Repository:
AIMS Press
Date Published:
Journal Name:
Electronic Research Archive
Volume:
32
Issue:
11
ISSN:
2688-1594
Page Range / eLocation ID:
6481 to 6502
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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