Electromagnetic wave propagation in polycrystalline materials: effective medium approach

Bussemer, P.; Hehl, K.; Kassam, Samer; Kaganov, M.I.

doi:10.1088/0959-7174/1/2/002

Cited by 17 publications

(9 citation statements)

References 5 publications

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“…Since v z = 0, when calculating the effective impedance we cannot use Eqs. (25) - (27). We have to repeat the calculation beginning from the derivation of the proper expressions for the elements σ αβ (k; γ) of the conductivity tensor.…”

Section: Effective Surface Impedance Of Polycrystals Composed Of mentioning

confidence: 99%

Effective surface impedance of polycrystals under anomalous skin effect conditions

Kaganova

Kaganov²

2001

Phys. Rev. B

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The effective impedance of strongly anisotropic polycrystals has been investigated under the conditions of extremely anomalous skin effect. We were interested in finding out how the value of the effective impedance depends on the geometry of the Fermi surface of a single crystal grain. The previously obtained nonperturbative solution based on the application of the impedance (the Leontovich) boundary conditons was used to calculate the effective impedance of a polycrystalline metal. When the Fermi surface is a surface of revolution, the expression for the effective impedance is rather simple. Some model Fermi surfaces were examined. In the vicinity of the electronic topological transition the singularities of the effective impedance related to the change of the topology of the Fermi surface were calculated.Our results show that though a polycrystal is an isotropic medium in average, it is not sufficient to consider it as a metal with an effective spherical Fermi surface, since this can lead to the loss of some characteristic features 1 of extremely anomalous skin effect in polycrystals.

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Section: Effective Surface Impedance Of Polycrystals Composed Of mentioning

confidence: 99%

Effective surface impedance of polycrystals under anomalous skin effect conditions

Kaganova

Kaganov²

2001

Phys. Rev. B

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“…This version of the EMM was applied for the calculation of various physical effective properties of composite materials and polycrystals (see [1][2][3]). In elasticity this version of the EMM was developed in [4,5] for the calculation of static effective elastic moduli of matrix composites.…”

Section: Introductionmentioning

confidence: 99%

Propagation of elastic waves in composites with random set of spherical inclusions (effective medium approach)

2004

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“…Because of existence of a continuous component (matrix) the phase velocity of the mean field should coincide with the wave velocity in the matrix. The attenuation factor c in the short-wave limit does not depend on the frequency and properties of inclusions and is only a function of a number of scatterers on a unit length (for electromagnetic waves see similar results in Bussemer et al (1991) and Kanaun (2000)). The latter is the consequence of the extinction paradox for the value of the total scattering cross section of the inclusion in the short-wave limit (see Appendix A).…”

Section: Solution Of the Dispersion Equation In The Short-wave Limitmentioning

confidence: 80%

“…0. It is known that in the short-wave limit the effective wave number of the mean wave field has the form (Waterman and Truel, 1961;Bussemer et al, 1991;Kanaun, 2000) b…”

Section: Solution Of the Dispersion Equation In The Short-wave Limitmentioning

confidence: 99%

Propagation of shear elastic waves in composites with a random set of spherical inclusions (effective field approach)

Kanaun

Levin

2005

International Journal of Solids and Structures

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Electromagnetic wave propagation in polycrystalline materials: effective medium approach

Cited by 17 publications

References 5 publications

Effective surface impedance of polycrystals under anomalous skin effect conditions

Effective surface impedance of polycrystals under anomalous skin effect conditions

Propagation of elastic waves in composites with random set of spherical inclusions (effective medium approach)

Propagation of shear elastic waves in composites with a random set of spherical inclusions (effective field approach)

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