The long-wave theory of N pairwise alternate homogeneous and heterogeneous layers difraction

Kazanskiy, V.B.; Tuz, Vladimir R.

doi:10.3103/s0735272708010032

Cited by 3 publications

(7 citation statements)

References 7 publications

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“…Earlier in [3,[13][14][15] a method was proposed for homogenisation of the grating as a layer of homogeneous uniaxial dielectric of the same height. This quasi-static approach works well enough when the grate period l is much less than the wave length λ (ae = l/λ 1).…”

Section: Problem Statementmentioning

confidence: 99%

“…Their period is to be much less than the excitation wave length. The latter condition allows us to approximate the grating with a layer of homogeneous anisotropic medium described by diagonal tensors of some effective permittivity and permeability [3,[13][14][15].…”

Section: Introductionmentioning

confidence: 99%

“…The structure scattering coefficients are determined by transition from the transfer-matrix to the scattering-matrix formalism and are evaluated using the Maugin polynomials [15][16][17][18]. The Maugin polynomials (instead of the Chebyshev ones) enable one to investigate structures with losses.…”

Section: Introductionmentioning

confidence: 99%

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Electromagnetic scattering by a quasiperiodic generalized multilayer Fibonacci structure with grates of magnetodielectric bars

Tuz

Kazanskiy

2009

Waves in Random and Complex Media

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The scattering coefficients of a finite quasiperiodic Fibonacci sequence for the incident wave of perpendicular and parallel polarization are obtained using the matrix polynomials methods. The structure consists of isotropic layers and thick periodic grates of magnetodielectric bars. The grates are placed either orthogonal or parallel to each other. Each grate is approximated as a layer of anisotropic medium with some efficient permittivity and permeability tensors. Closed-form formulae for the scattering coefficients are obtained. The location of quasi-stop and quasi-pass bands and the conditions of resonant structure transparency are determined.

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Section: Problem Statementmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Electromagnetic scattering by a quasiperiodic generalized multilayer Fibonacci structure with grates of magnetodielectric bars

Tuz

Kazanskiy

2009

Waves in Random and Complex Media

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“…Let us now consider a single layer of effective permittivityε e , effective permeabilityμ e and thickness L. Quantity A e can be defined in a way similar to (5), (6):…”

Section: Effective Medium Theorymentioning

confidence: 99%

“…This effective permittivity is expressed by the actual material parameters and thickness of layers and does not depend on the number of periods inside the system. Further, in [4][5][6][7], the EMT is expanded to the general case of periodic systems with anisotropic layers including magnetic ones. Evidently, in the latter case, the homogenization procedure requires the definition of both effective permittivity and effective permeability tensors.…”

Section: Introductionmentioning

confidence: 99%

Gyrotropic-Nihility in Ferrite-Semiconductor Composite in Faraday Geometry

Tuz¹,

Batrakov²,

Zheng³

2012

PIER B

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Abstract-The reflection, transmission spectra and the polarization transformation of linearly polarized waves in the ferrite-semiconductor multilayer structure are considered. In the long-wavelength limit, the effective medium theory is applied to describe the studied structure as a uniaxial anisotropic homogeneous medium defined by the effective permittivity and effective permeability tensors. The investigations are carried out in the frequency band where the real parts of the diagonal elements of both the effective permittivity and permeability tensors are close to zero. In this frequency band the studied structure is referred to a gyrotropic-nihility medium. An enhancement of polarization rotation, impedance matching, backward propagation are revealed.

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