A Comparison of Two Generalizations to the Linear Sampling Method for Inverse Scattering

Authors

Yeasmin Sultana, Marquette University
James E. Richie, Marquette UniversityFollow

Document Type

Article

Publication Date

2022

Publisher

Electromagnetics Academy

Source Publication

Progress in Electromagnetics Research (P IE R M)

Source ISSN

1559-8985

Original Item ID

DOI: 10.2528/PIERM22081807

Abstract

The linear sampling method (LSM) is a very popular method for determining the boundary of an object from the scattered field. However, there are instances where LSM provides the convex hull of the boundary rather than the true boundary. There are two common generalizations to LSM: the Generalized Linear Sampling Method (GLSM) and the Multipoles-based Linear Sampling Method (MLSM). In this paper, the ability of GLSM and MLSM to overcome some of the deficiencies of LSM are investigated. It is found that GLSM may be ideal for imaging thin features of scatterers and that MLSM can provide an improvement over LSM in a more general sense. GLSM may also require user input to adjust the indicator function whereas MLSM does not appear to rely as much on indicator function adjustments for adequate results.

Comments

Published version. Progress in Electromagnetics Research (P IE R M), Vol. 114 (2022): 49-57. DOI. © 2022 Electromagnetics Academy. Used with permission.

Recommended Citation

Sultana, Yeasmin and Richie, James E., "A Comparison of Two Generalizations to the Linear Sampling Method for Inverse Scattering" (2022). Electrical and Computer Engineering Faculty Research and Publications. 771.
https://epublications.marquette.edu/electric_fac/771