Reciprocity Theorem Applied to the Computation of Functional Derivatives of the Scattering Matrix

Roger, A.

doi:10.1080/02726348208915158

Cited by 35 publications

(24 citation statements)

References 9 publications

(2 reference statements)

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“…where N I is the number of incident waves, N M (i) is the number of measurements under the ith incidence, θ inc i is the ith incident angle, θ meas ij is the mth measurement angle for θ inc i , J z (r) is the induced current solution of the forward problem and J z (r) is the induced current solution of the adjoint problem [30]. The symbols E sc z,sim and E sc z,meas represent the calculated and the measured scattered fields, respectively, and α is a positive normalization coefficient.…”

Section: Forward Scattering Problem In a Stratified Mediamentioning

confidence: 99%

See 1 more Smart Citation

The Level Set Shape Reconstruction Algorithm Applied to 2d Pec Targets Hidden Behind a Wall

Hajihashemi¹,

El-Shenawee²

2010

PIER B

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Abstract-The level set algorithm is extended to handle the reconstruction of the shape and location of objects hidden behind a dielectric wall. The Green's function of stratified media is used to modify the method of moments and the surface integral equation forward solver. Due to the oscillatory nature of the Sommerfeld integrals, the stationary phase approximation is implemented here to achieve fast and accurate reconstruction results, especially when the targets are located adequately far from the wall. Transverse Magnetic (TM) plane waves are employed for excitation with limited view for transmitting and receiving the waves in the far field at one side of the wall. The results show the capability of the level set method for retrieving the shape and location of multiple 2D PEC objects of arbitrary shapes even when there are located at a small distance from the wall. To reduce the computational expenses of the algorithm in the case of multiple hidden objects, the MPI parallelization technique is implemented leading to a reduction in the CPU time from hours on a single processor to few minutes using 128 processors on the NCSA Supercomputer Center.

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Section: Forward Scattering Problem In a Stratified Mediamentioning

confidence: 99%

“…The appropriate form of the deformation velocity, making a decreasing cost function, was given in [22]. It was based on the forward and adjoint currents induced on the surface of the evolving objects [30]. The PDE in (2) is solved numerically using the higher order finite difference schemes elaborated in [28].…”

Section: Level Set Representationmentioning

confidence: 99%

The Level Set Shape Reconstruction Algorithm Applied to 2d Pec Targets Hidden Behind a Wall

Hajihashemi¹,

El-Shenawee²

2010

PIER B

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“…(23)), therefore, the right-hand side represents the analytic continuation inside C j of the total incident defined in Eq. (23) and in the following, it will be called total incident E inc,total j field as well. Thus, from Eq.…”

Section: Field Scattered By a Cylinder And Total Incident Field In Itmentioning

confidence: 99%

Electromagnetic Scattering by a Set of Objects: An Integral Method Based on Scattering Operator

Maystre¹

2006

PIER

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Abstract-The paper presents the Scattering Operator Method, which is devoted to the problem of scattering from a set of N cylindrical objects. By contrast with the Scattering Matrix Method, which has been used by many groups in the last twenty years, it applies to any kind of cylinder shape, regardless of the relative location of the cylinders. The theory is based on a mathematical result: it is possible to define in the vicinity of the surface of each cylinder two complementary parts of the field: the total incident field and the field scattered by this cylinder. These two parts are the Calderon projectors of the values of the total fields on the surface of the cylinder. The validity of the method is checked on two examples. It is shown that the theory avoids some problems encountered in integral method like evaluations of singular or hypersingular integrals, or instabilities due to internal resonance of objects.

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“…In [23], it was introduced in far-field configuration with an illumination by plane waves. In this work, we adapt this approach to emission of the incident field and reception of the total field by electric dipoles, localized in the transition zone, and for a perfectly conducting rough surface.…”

Section: Fréchet Derivative Of the Scattering Operatormentioning

confidence: 99%

“…The local linear inverse problem relies on the calculus of the Fréchet derivative of the non-linear scattering operator. Based on the reciprocity theorem, this calculus was first proposed in far-field configuration [23]. It is here adapted to localized emitters and receivers.…”

Section: Introductionmentioning

confidence: 99%

Inverse Wave Scattering of Rough Surfaces With Emitters and Receivers in the Transition Zone

Arhab

Soriano²

2016

PIER M

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Abstract-We deal with the problem of determining the profile of a perfectly conducting rough surface from single-frequency and multistatic data. The two fundamental polarizations are investigated, in a two-dimension scattering configuration. Emitting and receiving antennas are positioned on a probing line some wavelengths above the profile. It is shown how the boundary integral equation method can be adapted to the case where the antenna footprint is much wider that the rough part of the profile. The Newton-Kantorovich iterative inversion process is then performed on these synthetic data. Its accuracy and robustness to additive noise are studied in the context of random rough surfaces with correlation length smaller than the wavelength and slope root mean square up to 0.9.

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Reciprocity Theorem Applied to the Computation of Functional Derivatives of the Scattering Matrix

Cited by 35 publications

References 9 publications

The Level Set Shape Reconstruction Algorithm Applied to 2d Pec Targets Hidden Behind a Wall

The Level Set Shape Reconstruction Algorithm Applied to 2d Pec Targets Hidden Behind a Wall

Electromagnetic Scattering by a Set of Objects: An Integral Method Based on Scattering Operator

Inverse Wave Scattering of Rough Surfaces With Emitters and Receivers in the Transition Zone

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