Exact scattering by isorefractive bodies

Uslenghi, Piergiorgio L. E.

doi:10.1109/8.623127

Cited by 54 publications

(32 citation statements)

References 2 publications

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“…The Green's function, assuming a harmonic time dependence, is given by (5) 0018-926X/97$10.00 © 1997 IEEE with (6) The boundary conditions are (7) or (8) in the case of E-polarization and (9) or (10) in the case of -polarization. The other components of the fields are (11) (12) in the -wave case and (13) (14) in the -wave case. It is seen that we may restrict ourselves to the -wave case without loss of generality.…”

Section: The Integral Equationsmentioning

confidence: 99%

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The diaphanous wedge

Knockaert¹,

Olyslager²,

Zutter³

1997

IEEE Trans. Antennas Propagat.

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Complete solutions for the diaphanous wedge, meaning a wedge with identical wavenumbers inside and outside the wedge, are presented. The results are obtained from an integral equation for the fields on the wedge, which is solved by the Mellin and Kantorovich-Lebedev transforms in the static and dynamic cases, respectively. Pertinent formulations of Gegenbauer's addition theorems play an important part in the derivation of the results, which are presented in closed form.

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Section: The Integral Equationsmentioning

confidence: 99%

“…A diaphanous [13, p. 490] or isorefractive [14] body is an object with the same wavenumbers inside and outside the body, i.e., . That this is perfectly possible and nontrivial, even for a wedge in free space, is seen if we consider a wedge consisting of a diamagnetic material such that the magnetic and electric susceptibilities satisfy .…”

Section: Introductionmentioning

confidence: 99%

The diaphanous wedge

Knockaert¹,

Olyslager²,

Zutter³

1997

IEEE Trans. Antennas Propagat.

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“…With properly specified, the boundary condition on tangential now implies continuity of and the absence of free surface charge requires continuity of . The scalar boundary value problems for both potential functions in the exterior and interior wedge regions consist of inhomogeneous wave equations (9) subject to identical boundary conditions and at (10) where the permittivity ratio is . In this case of electric dipole source, which is the TM or E polarization, it is expedient to define the reflection coefficient (11) The perfectly conducting wedge is the limiting case .…”

Section: A Hertzian Electric Dipolementioning

confidence: 99%

“…The perfectly conducting wedge Manuscript can be recovered as a special case. As indicated in [1] and recognized by [8] and [9], the main value of the isovelocity solution is its service, in principle, as the zeroth-order iterate for a wedge of relatively small velocity contrast. However, the envisaged perturbative adjustment (i.e., Neumann series) cannot be constructed in the time domain because an upper bound must be imposed on the frequency.…”

Section: Introductionmentioning

confidence: 99%

Time-domain three-dimensional diffraction by the isorefractive wedge

Scharstein

Davis

1998

IEEE Trans. Antennas Propagat.

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The extension of the Biot-Tolstoy exact time domain solution to the electromagnetic isovelocity or isorefractive wedge is described. The TM field generated by a Hertzian electric dipole can be represented by a vector potential parallel to the apex of the wedge and a scalar potential necessitated by the three dimensionality of the magnetic field. The derivation of the former is exactly that of the pressure in the corresponding acoustic situation [1], and a more efficient version of the lengthy details is presented herein. A Lorentz gauge determines the scalar potential from the vector potential, and the diffracted field contains impulsive and "switch-on" terms that cannot be evaluated in closed form. The ratio of arrival times, at a given point, of the geometrical optics and diffracted fields provides a convenient parameter, in addition to the usual metric-related variable, for graphically displaying this scalar potential.

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“…Plane wave scattering of multilayer, isorefractive, elliptical cylinders was studied using a matrix based recursive solution [9]. The exact solution to plane wave scattering of a single isorefractive elliptic cylinder had earlier been obtained [10].…”

Section: Introductionmentioning

confidence: 99%

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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Exact scattering by isorefractive bodies

Cited by 54 publications

References 2 publications

The diaphanous wedge

The diaphanous wedge

Time-domain three-dimensional diffraction by the isorefractive wedge

Scattering of Multilayer Concentric Elliptical Cylinders Excited by Single Mode Source

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