Dispersion relation for general anisotropic media

Damaskos, N.; Maffett, Andrew Lewis; Uslenghi, Piergiorgio L. E.

doi:10.1109/tap.1982.1142905

Cited by 35 publications

(9 citation statements)

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“…The efficiency of this method has been demonstrated by the solution of a 2600 cell model of a cross section through the human head exposed to a 1 GHz plane wave. We agree wholeheartedly with the authors of the above paper that the CGM converges more rapidly than the previously used method of steepest descent [2] and the spectral iteration technique [3]. Unfortunately our experience with the dyadic Green's functions encountered in the two-dimensional transverse electric (TE) and three-dimensional equations for dielectric bodies is not so encouraging.…”

Section: Correction To "Radiation From a Dipole In Thesupporting

confidence: 67%

Correction to "Radiation from a Dipole in the Proximity of a General Anisotropic Grounded Layer"

Tsalamengas

Uzunoglu²

1987

IEEE Trans. Antennas Propagat.

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The radiation from a dipole in the presence of a grounded general gyromagnetic-electric (gyrotropic) layer is investigated. The use of matrix methods i n conjunction with Fourier transformation techniques greatly facilitates the formulation of the boundary-valne problem, reducing the algebraic complexity to a minimum, and provides a closed-form representation of the electromagnetic field over the anisotropic region. Numerical results in plots, related to the radiation pattern of the structure, are also included for various cases.

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Section: Correction To "Radiation From a Dipole In Thesupporting

confidence: 67%

Correction to "Radiation from a Dipole in the Proximity of a General Anisotropic Grounded Layer"

Tsalamengas

Uzunoglu²

1987

IEEE Trans. Antennas Propagat.

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“…The corresponded matrices are not required to be symmetric, positive definite, and even invertible. This compact form is much simpler for calculation and for theoretical analysis than the ones represented in the electromagnetic literature [13], [14]. The algebraic consideration presented here can be also useful for a compact algebraic representation of a general bianisotropic tensorial dispersion relation represented recently in [15].…”

Section: Discussionmentioning

confidence: 93%

Dispersion relation for electromagnetic waves in anisotropic media

Itin

2010

Physics Letters A

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The electromagnetic wave propagation in an anisotropic dielectric media with two generic matrices ε ij and µ ij of permittivity and permeability is studied. These matrices are not required to be symmetric, positive definite, and even invertible. In the framework of a metric-free electrodynamics approach, compact tensorial dispersion relation is derived. The resulted formula are useful for a theoretical study of electromagnetic wave propagation in a classical media and in a modern type of media with a generic linear constitutive relation including metamaterials.

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“…(7) and (8), apart from the fact that they considered only linear constitutive laws. If the cross-terms χ and γ vanish, they reduce to the form of Damaskos, Maffett and Uslenghi [21], eq. (7).…”

Section: Reduction To 3 Dimensionsmentioning

confidence: 99%

On the hyperbolicity of Maxwell's equations with a local constitutive law

Perlick

2011

Journal of Mathematical Physics

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Maxwell's equations are considered in metric-free form, with a local but otherwise arbitrary constitutive law. After splitting Maxwell's equations into evolution equations and constraints, we derive the characteristic equation and we discuss its properties in detail. We present several results that are relevant for the question of whether the evolution equations are hyperbolic, strongly hyperbolic or symmmetric hyperbolic. In particular, we give a convenient characterisation of all constitutive laws for which the evolution equations are symmetric hyperbolic. The latter property is sufficient, but not necessary, for well-posedness of the initial-value problem. By way of example, we illustrate our results with the constitutive laws of biisotropic media and of Born-Infeld theory.

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Dispersion relation for general anisotropic media

Cited by 35 publications

References 1 publication

Correction to "Radiation from a Dipole in the Proximity of a General Anisotropic Grounded Layer"

Correction to "Radiation from a Dipole in the Proximity of a General Anisotropic Grounded Layer"

Dispersion relation for electromagnetic waves in anisotropic media

On the hyperbolicity of Maxwell's equations with a local constitutive law

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