Electromagnetic scattering by a multilayer elliptic cylinder under transverse-magnetic illumination: series solution in terms of Mathieu functions

Caorsi, S.; Pastorino, Matteo; Raffetto, Mirco

doi:10.1109/8.585739

Cited by 66 publications

(70 citation statements)

References 11 publications

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“…However, an efficient and fast recursive procedure for the computation of the above coefficients (starting from the external and the innermost layers) has been proposed in [23] and is used in the present work for solving the forward problem.…”

Section: Mathematical Formulationmentioning

confidence: 99%

Detection of buried inhomogeneous elliptic cylinders by a memetic algorithm

Caorsi

Massa

Pastorino

et al. 2003

IEEE Trans. Antennas Propagat.

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-The application of a global optimization procedure to the detection of buried inhomogeneities is studied in the present paper. The object inhomogeneities are schematized as multilayer infinite dielectric cylinders with elliptic cross sections. An efficient recursive analytical procedure is used for the forward scattering computation. A functional is constructed in which the field is expressed in series solution of Mathieu functions. Starting by the input scattered data, the iterative minimization of the functional is performed by a new optimization method called memetic algorithm.

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Section: Mathematical Formulationmentioning

confidence: 99%

Detection of buried inhomogeneous elliptic cylinders by a memetic algorithm

Caorsi

Massa

Pastorino

et al. 2003

IEEE Trans. Antennas Propagat.

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“…The EM fields from this source will be treated later in the analysis as EM source fields which themselves excite scattered fields in the dielectric mismatched system in the same way that a plane wave excited EM fields in the elliptical systems of [4,5,8]. Here, the plus and minus signs indicate the exterior and interior of the source location.…”

Section: Elliptically Symmetric Em Source Fields In Uniform Spacementioning

confidence: 99%

“…Next, the EM field series expansions from Eqs. (6)- (8) are evaluated at u s , substituted into the integrals, then after the order of integration and summation is exchanged, it is found…”

Section: Elliptically Symmetric Em Source Fields In Uniform Spacementioning

confidence: 99%

“…Scattering from a dielectric-coated elliptic cylinder has been investigated [6] and scattering from a spatially uniform, dielectriccoated impedance elliptical cylinder has recently been studied [7]. An exact (formal) solution to transverse-magnetic excitation of multilayer dielectric elliptical cylinders has been obtained using a recursive procedure [8]. Plane wave scattering of multilayer, isorefractive, elliptical cylinders was studied using a matrix based recursive solution [9].…”

Section: Introductionmentioning

confidence: 99%

“…In this system a circular EM mode incident on the system will induce only circular modes of the same order. In studies of scattering from both circularly shaped objects [13,14] and elliptically shaped objects [4,8], the Radar Cross Section (RCS) of the system is usually the quantity of most interest, and thus a plane wave excitation is the one that is most often used. Since a plane wave in circular and elliptical coordinates is a superposition of an infinite number of modes, when calculating the RCS for circular or elliptically shaped objects, it is difficult to gain a sense of how each mode of the plane wave excitation is coupled to each mode of the scattered EM field.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Scattering of Multilayer Concentric Elliptical Cylinders Excited by Single Mode Source

Hill¹,

Jarem²

2005

PIER

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Abstract-The Electromagnetic (EM) fields of a concentric, mismatched-material, elliptical system are studied when excited by an interior or exterior electric surface current. The interior or exterior surface current is assumed to be proportional to a single, angular Mathieu mode. It is shown that despite the fact that the system is concentric, that a single Mathieu mode surface current excites EM Mathieu-mode fields of all orders. A derivation of the EM fields due a single mode electric surface in an infinite, homogeneous media is given, as well as the matrix formulation from which the EM fields of the mismatched-material, elliptical system may be determined. Validation of numerical results and comparison with other research work is given for both interior and exterior single-mode, current sources. Detailed numerical examples of the EM fields that result for a singlemode, exterior source excitation are given for the first time. Discussion of the EM mode coupling that results by single-mode excitation on a mismatched elliptical system is given.

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Radar cross section per unit length of a lossy multilayer elliptic cylinder

Caorsi

Pastorino

Raffetto

1999

Microw. Opt. Technol. Lett.

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The radar cross section per unit length is computed in the case of plane‐wave scattering by a lossy multilayer elliptic cylinder. The solution is obtained by a Taylor series approximation of the Mathieu functions of complex argument, which are the eigenfunctions of the lossy elliptic cylinder. A recursive procedure is applied to several test cases in which the multilayer elliptic cylinders are made of significantly lossy materials. ©1999 John Wiley & Sons, Inc. Microwave Opt Technol Lett 21: 380–384, 1999.

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Electromagnetic scattering by a multilayer elliptic cylinder under transverse-magnetic illumination: series solution in terms of Mathieu functions

Cited by 66 publications

References 11 publications

Detection of buried inhomogeneous elliptic cylinders by a memetic algorithm

Detection of buried inhomogeneous elliptic cylinders by a memetic algorithm

Scattering of Multilayer Concentric Elliptical Cylinders Excited by Single Mode Source

Radar cross section per unit length of a lossy multilayer elliptic cylinder

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