Natural-mode representation of transient scattered fields

Marin, Lennart

doi:10.1109/aps.1973.1147169

Cited by 16 publications

(23 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…There is a significant body of literature dedicated to SEM analysis, with the basic foundations presented by Baum [2]; the analyses of Marin [13,14] provided the key underlying mathematical theory. Dolph [24] observed that many of the papers on SEM were difficult to interpret mathematically, since neither the properties of the integral operators, nor the space in which solutions are sought were specified.…”

Section: Singularity Expansion Methodsmentioning

confidence: 99%

“…Marin presented a comprehensive analysis of the solution to the MFIE based on the Fredholm Determinant theory and Carleman's method [13,14,40]. This work is recognized to have given the SEM a stronger mathematical foundation.…”

Section: Solving Mfie and Efiementioning

confidence: 99%

“…In this paper it is shown that the mathematical foundation of the Singularity Expansion Method (SEM), which was previously based on Marins work on the Magnetic Field Integral Equation (MFIE) [13,14], can be established from the preconditioned EFIE. The preconditioning approach used by Adams [15][16][17][18] for the MEFIE, and following the method of Harrington and Mautz [19] for an MCFIE, is examined as a viable method for stabilizing the ill-posed nature of the EFIE.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

A Common Theoretical Basis for Preconditioned Field Integral Equations and the Singularity Expansion Method

Fleming¹

2008

PIER M

View full text Add to dashboard Cite

Abstract-It is demonstrated that there is a common theoretical basis for the Singularity Expansion Method (SEM) and stabilized, preconditioned electric field and magnetic field integral equations (EFIE, MFIE) defining radiation and scattering from a closed perfect electric conductor in a homogeneous medium.An operator relation termed the Calderon preconditioner links the MFIE and EFIE, based on the fundamental Stratton-Chu integral representations for the problem geometry. This preconditioner is known to stabilize the ill-posed first kind EFIE, yielding the Modified EFIE (MEFIE). The same preconditioner has been applied to the weakly singular MFIE kernel, giving a Modified MFIE (MMFIE), the equation then being solved using the Fredholm determinant theory. Since this analytical integral theory is the foundation of the SEM, it follows that the Calderon preconditioner enables stabilized and common SEM representations to be defined for both the MEFIE and MMFIE.For a finite-sized object admitting only pole singularities, the solution of the preconditioned EFIE and MFIE is equivalent to the frequency-domain SEM solution. The common SEM representation differs only in the coupling coefficient terms. Coupling coefficients for the MFIE are known, however, explicit formulations for the EFIE, and the modified coupling coefficients for the MEFIE and MMFIE are new contributions.

show abstract

Section: Singularity Expansion Methodsmentioning

confidence: 99%

Section: Solving Mfie and Efiementioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

A Common Theoretical Basis for Preconditioned Field Integral Equations and the Singularity Expansion Method

Fleming¹

2008

PIER M

View full text Add to dashboard Cite

show abstract

“…A voltage is induced onto each loop from the incident magnetic field, which is again assumed to be homogeneous and parallel to the loop axes. The currents in the two loops are then (8) and therefore using (3) the scattered magnetic field (on the -axis) can be written as (9) where we assumed an observation distance much larger than the loop separation. The resonances are given by the singularities of (9).…”

Section: A Circuit-based Explanation Of Damped Low-frequency Emi Resmentioning

confidence: 99%

“…While the amplitudes of the SEM modes are dependent on the excitation waveform, the complex resonant frequencies themselves are termed "aspect independent" (the same for all target orientations and incident fields). After the original SEM framework was formalized [13], numerous researchers applied it to modeling [7]- [8], measurements [9]- [10], and signal processing (termed electromagnetic singularity identification, EMSI) [11]- [12], motivated largely by its potential for aspect-independent target identification.…”

Section: Introductionmentioning

confidence: 99%

On the low-frequency natural response of conducting and permeable targets

Geng

Baum

Carin

1999

IEEE Trans. Geosci. Remote Sensing

View full text Add to dashboard Cite

Abstract-The low-frequency natural response of conducting, permeable targets is investigated. We demonstrate that the source-free response is characterized by a sum of nearly purely damped exponentials, with the damping constants strongly dependent on the target shape, conductivity, and permeability, thereby representing a potential tool for pulsed electromagnetic induction (EMI) identification (discrimination) of conducting and permeable targets. This general concept is then specialized to the particular case of a body of revolution (BOR), for which the Method-of-Moments (MoM)-computed natural damping constants from several targets are compared with measurements. Moreover, theoretical natural (equivalent) surface currents and damping coefficients are shown for other targets of interest. Finally, we investigate the practical use of such natural signatures in the context of identification, wherein Cramer-Rao bound (CRB) studies address signal-to-noise ratio (SNR) considerations.

show abstract

Mathematical problems in radar inverse scattering

Borden

2001

Inverse Problems

View full text Add to dashboard Cite

The problem of all-weather noncooperative target recognition is of considerable interest to both defense and civil aviation agencies. Furthermore, the discipline of radar inverse scattering spans a set of real-world problems whose complexity can be as simple as perfectly conducting objects in uniform, isotropic, and clutter-free environments but also includes problems that are progressively more difficult. Consequently, this topic is attractive as a practical starting point for general object characterization schemes. But traditional radar target models-upon which most current radar systems are based-are nearing the end of their usefulness. Unfortunately, most traditional research programmes have emphasized instrumentation over image and model analysis and, consequently, the discipline is unnecessarily jargon-laden and device-specific. The result is that recent contributions in advanced imaging, inverse scattering and model fitting methods have often been 'excluded' from mainstream radar efforts. This topical review is intended to serve as a survey of current and proposed schemes and an overview and discussion of roadblocks to successful implementation of some of the more popular approaches. The presentation has been constructed in a manner that (it is hoped) will appeal to those physicists and applied mathematicians who are not approaching the subject of radar imaging from a formal radar background.

show abstract

Natural-mode representation of transient scattered fields

Cited by 16 publications

References 0 publications

A Common Theoretical Basis for Preconditioned Field Integral Equations and the Singularity Expansion Method

A Common Theoretical Basis for Preconditioned Field Integral Equations and the Singularity Expansion Method

On the low-frequency natural response of conducting and permeable targets

Mathematical problems in radar inverse scattering

Contact Info

Product

Resources

About