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Electromagnetic imaging of separable obstacle problem.

Xiuzhu Ye¹, Rencheng Song, Krishna Agarwal

¹Department of Electrical and Computer Engineering, National University of Singapore, 117576 Singapore. yexiuzhu@nus.edu.sg

|February 15, 2012

Summary

This summary is machine-generated.

This study presents a novel inverse scattering method to image separable scatterers by treating known obstacles as part of the background. This approach simplifies calculations and improves imaging quality, validated by numerical and experimental data.

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Area of Science:

Wave phenomena and scattering theory
Computational electromagnetics
Inverse problems in imaging

Background:

Imaging of scatterers is challenging when known obstacles are present.
Existing methods often struggle with complex backgrounds, requiring computationally intensive calculations.

Purpose of the Study:

To develop an efficient inverse scattering method for imaging separable scatterers in the presence of known obstacles.
To simplify the inverse scattering problem by reformulating the cost function.

Main Methods:

Treating known obstacles as part of the background and excluding them from the retrieval process.
Reformulating the cost function to transform the problem into an inverse scattering problem with a homogeneous background.
Analyzing factors influencing imaging quality.

Main Results:

Successfully transformed the problem into a homogeneous background inverse scattering scenario.
Avoided computationally intensive Green's function calculations for inhomogeneous backgrounds.
Demonstrated good performance through challenging numerical examples.

Conclusions:

The proposed method effectively images separable scatterers by leveraging prior information about obstacles.
The approach offers computational advantages and validated accuracy through experimental data.