Noniterative analytical formula for inverse scattering of multiply scattering point targets

Marengo, Edwin A.; Gruber, Fred K.

doi:10.1121/1.2354018

Cited by 31 publications

(21 citation statements)

References 21 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In general, we expect ultra-wideband MUSIC (which combines the benefits accrued from both low and high frequencies) to perform better than single-frequency MUSIC (9). Although low frequencies are numerically more stable, wide frequencies offer the advantage of enhanced resolution.…”

Section: Imaging Tumor Lesions Within Human Breastmentioning

confidence: 99%

“…Over the past decade, inverse-scattering researchers have also found that MUSIC can under certain circumstances be a powerful tool for imaging scatterers [2][3][4][5][6][7][8][9]. Such studies have thus far focused on various analytical aspects of MUSIC based on simplistic ideal-case scenarios; in fact, most of these researchers have assumed some form of homogeneous medium (typically free space) or half-space region (e.g., for buried-object detection analysis) [2,3].…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Practical applications of multiple signal classification

Agarwal¹,

Pan²,

Leong³

et al. 2012

Int J RF and Microwave Comp Aid Eng

View full text Add to dashboard Cite

Two examples demonstrating the practical utility of multiple signal classification (MUSIC) in the imaging of small objects using inverse scattering formulations are presented in this article. For the first application (of interest to construction engineers), the task is to detect the presence of steel bars and empty ducts embedded within reinforced concrete; the results demonstrate that reinforcement bars of various sizes and empty ducts can be readily detected using MUSIC even in the presence of significant measurement noise. For the second application (of interest to oncologists treating breast cancer), the ultra-wideband variation of MUSIC has been developed for the noninvasive imaging of malignant tissues that are very small in size; the results indicate that it may assist in the early detection of very small malignant tumors even in the midst of fatty tissues. V C 2012 Wiley Periodicals, Inc. Int J RF and Microwave CAE 00:000-000, 2012.

show abstract

Section: Imaging Tumor Lesions Within Human Breastmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Practical applications of multiple signal classification

Agarwal¹,

Pan²,

Leong³

et al. 2012

Int J RF and Microwave Comp Aid Eng

View full text Add to dashboard Cite

show abstract

“…When multiple scattering effect is considered, the inverse problem of retrieving polarization tensors is nonlinear. Despite the nonlinearity, there are non-iterative analytical algorithms for the problem [13,15,16]. The following two-step least squares method is a modified version of the method proposed in [13].…”

Section: Inverse Scattering Problemmentioning

confidence: 99%

Total internal reflection tomography of small objects

Xu-dong

2008

J. Phys.: Conf. Ser.

View full text Add to dashboard Cite

Abstract. The multiple signal classification (MUSIC) imaging method is applied to determine the locations of a collection of small anisotropic spherical scatterers in the framework of the total internal reflection tomography. Multiple scattering between scatterers is considered and the inverse scattering problem is nonlinear, which, however, is solved by the proposed fast analytical approach where no associated forward problem is iteratively evaluated. The paper also discusses the role of the polarization of incidence waves, the incidence angle, the separation of scatterers from the surface of the substrate, and the level of noise on the resolution of imaging.

show abstract

“…Recently, some analytical non-iterative methods, which avoid iterative forward scattering simulations, have been proposed [9]- [12]. While [9] deals with three-dimensional scatterers illuminated by the electromagnetic waves, the other three deal with the scalar waves.…”

Section: Introductionmentioning

confidence: 99%

Applicability of MUSIC-Type Imaging in Two-Dimensional Electromagnetic Inverse Problems

Agarwal

Chen

2008

IEEE Trans. Antennas Propagat.

View full text Add to dashboard Cite

The behavior of the multiple signal classification (MUSIC) algorithm is investigated when used to locate small dielectric cylinders of specific characteristics in noise-free and noisy scenarios using the TE incidence. We have made three observations regarding the performance of MUSIC in the two-dimensional TE scenario, which reveal the significance of the choice of signal subspace while employing MUSIC and the shortcoming of traditional MUSIC when used to detect degenerate cylinders (which might be so due to the material or geometry of the cylinders). The detailed analysis of the sources induced on a cylinder and their linear dependency on each other gives a distinct insight into the use of MUSIC algorithm to locate it. A non-iterative retrieval algorithm is provided that is based on the least squares method, which retrieves the electric and magnetic polarization tensors of the small cylinders. The algorithm proposed here is mathematically a simple and direct representation of the physical principles and is applicable to degenerate cylinders as well.

show abstract

Noniterative analytical formula for inverse scattering of multiply scattering point targets

Cited by 31 publications

References 21 publications

Practical applications of multiple signal classification

Practical applications of multiple signal classification

Total internal reflection tomography of small objects

Applicability of MUSIC-Type Imaging in Two-Dimensional Electromagnetic Inverse Problems

Contact Info

Product

Resources

About