## Electromagnetic imaging of separable obstacle problem |

Optics Express, Vol. 20, Issue 3, pp. 2206-2219 (2012)

http://dx.doi.org/10.1364/OE.20.002206

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### Abstract

The practical problem of imaging scatterers that are *separable* from the known obstacles is addressed. Using such *a priori* information, the obstacle is regarded as a known scatterer rather than part of the background and can be excluded from the retrieving process by reformulating the cost function. As a result, the proposed method transforms the problem into an inverse scattering problem with homogeneous background, and avoids the computationally intensive calculation of Green’s function for inhomogeneous background (bases of the physical model of the problem). Meanwhile, the factors that influence the imaging quality for such kind of problem are also analyzed. Various difficult numerical examples are presented to show the good performance of our method. In addition, a data set of scattering experiments from the Institut Fresnel is tested to verify the validity of our method.

© 2012 OSA

**OCIS Codes**

(180.6900) Microscopy : Three-dimensional microscopy

(290.3200) Scattering : Inverse scattering

**ToC Category:**

Microscopy

**History**

Original Manuscript: November 14, 2011

Revised Manuscript: December 30, 2011

Manuscript Accepted: January 10, 2012

Published: January 17, 2012

**Virtual Issues**

Vol. 7, Iss. 3 *Virtual Journal for Biomedical Optics*

**Citation**

Xiuzhu Ye, Rencheng Song, Krishna Agarwal, and Xudong Chen, "Electromagnetic imaging of separable obstacle problem," Opt. Express **20**, 2206-2219 (2012)

http://www.opticsinfobase.org/vjbo/abstract.cfm?URI=oe-20-3-2206

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