Scattering of a wave beam by inhomogeneous anisotropic chiral layer

Malyuskin, A. V.; Goryushko, D.N.; Shmat'ko, A. A.; Shulga, S.

doi:10.1109/mmet.2002.1107015

Cited by 7 publications

(8 citation statements)

References 1 publication

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“…This approach supposes that all falling and scattered monochromatic waves can be written as a superposition of plane waves (all of the same frequency, different amplitudes, and propagating in different directions). Angular spectrum of incident wave F(k x ) can be derived from its spatial distribution f(x) by inverse Fourier transformation [4][5][6] …”

Section: Shape Transformation Of Wave Beams In Quasiperiodic Mediamentioning

confidence: 99%

Shape transformation of wave beams falling on quasiperiodic layered structures

Andreev

Borulko

Drobakhin

et al. 2011

2011 VIII International Conference on Antenna Theory and Techniques

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Bragg structures with distortion of periodicity are considered. Effects of scattering the wave beams falling at oblique angles are theoretically investigated. Methods of characteristic matrices and plane-wave decomposition are used for obtaining angular and spatial distribution of reflected and transmitted wave beams. Magnitudes and phases of scattered fields are analyzed. Phenomena of anomalous behavior of group shifts (decreasing and negative ones) are observed for Bragg structures with different type of periodicity distortions.

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Section: Shape Transformation Of Wave Beams In Quasiperiodic Mediamentioning

confidence: 99%

Shape transformation of wave beams falling on quasiperiodic layered structures

Andreev

Borulko

Drobakhin

et al. 2011

2011 VIII International Conference on Antenna Theory and Techniques

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“…Several beam-wave phenomena such as lateral shift, focal shift, angular shift, beam splitting that are not found in the reflection of plane wave are the major features for investigation. Papers [13][14][15][16][17][18][19][20] are devoted to investigate the wave beam scattering on the structures with the spatial dispersion that include single layers of the natural and artificial reciprocal (chiral) and nonreciprocal bi-isotropic, bi-anisotropic medium, gyrotropic crystals, etc. Most of these studies were based on a two-dimensional beam-wave structure.…”

Section: Introductionmentioning

confidence: 99%

Three-Dimensional Gaussian Beam Scattering From a Periodic Sequence of Bi-Isotropic and Material Layers

Tuz¹

2008

PIER B

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Abstract-The three-dimensional Gaussian beam scattering from the bounded periodic sequence of one-to-one composed isotropic magnetodielectric and bi-isotropic layers are investigated. The beam field is represented by an angular continuous spectrum of plane wave. The problem of the partial plane wave diffraction on the structure is solved using the circuit theory and the transfer matrix methods. It is found that after reflection from the structure, the circular Gaussian beam becomes, in general, an elliptical Gaussian beam, in addition to a displacement of the beam axis from the position predicted by ray optics.

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“…Ref. [9] studied scattering and reflection of a Gaussian beam when it was incident on an anisotropic, chiral layer and Ref. [10] studied layered bianisotropic media.…”

Section: Introductionmentioning

confidence: 99%

“…[4][5][6][7][8][9] the anisotropic media was spatially homogeneous and translationally invariant. In references [12][13][14] Monzon used the same principles as he had developed in Refs [2,3] to derive Green's functions and study EM scattering from anisotropic systems in the much more difficult and complicated case when the anisotropic system was cylindrically, rotationally invariant with respect to the zaxis rather than translationally invariant.…”

Section: Introductionmentioning

confidence: 99%

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A Rapidly-Convergent, Mixed-Partial Derivative Boundary Condition Green's Function for an Anisotropic Half-Space: Perfect Conductor Case

Jarem¹

2007

PIER

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Abstract-The problem of determining the Green's function of an electric line source located in a permeable, anisotropic (μ xx ,μ xy ,μ yx ,μ yy andε zz nonzero interacting parameters) half-space above a Perfect Magnetic Conductor (PMC) ground plane (called the T M z case herein) for the case where image theory cannot be applied to find the Green's function of the PMC ground plane system has been studied. Monzon [2,3] studied the Green's function T E z problem dual to the present one for two cases; (1) when the system was unbounded, anisotropic space whereε xx ,ε xy ,ε yx ,ε yy andμ zz were the nonzero interacting parameters; and (2) when the scattering system was an anisotropic half-space located above a Perfect Electric Conductor (PEC) ground plane and whereε xx ,ε yy andμ zz were the nonzero interacting parameters andε xy =ε yx = 0. Monzon [2] referred to the latter ground plane case as the case where "usual image" theory could be used to find the Green's function of the system. The Green's function for the T M z -PMC case studied herein was derived by introducing and using a novel, linear coordinate transformation, namelyx = (σ P /τ )x + σ Mỹ ,ỹ =ỹ, (Eqs. (6c,d), herein). This transformation, a modification of that used by [2,3], reduced Maxwell's anisotropic equations of the system to a non-homogeneous, Helmholtz wave equation from which the Green's function, G, meeting boundary conditions, could be determined. The coordinate transformation introduced was useful for the present PMC ground plane problem because it left the position of the PMC ground plane and all lines parallel to it, unchanged in position from the original coordinate system, thus facilitating imposition of EM boundary conditions at the PMC ground plane. 40 JaremIn transformed (or primed) coordinates, for the T M z -PMC and T E z -PEC ground plane problems, respectively, the boundary conditions for the Green's functions G T M ≡ E z and G T E ≡ H z were shown to be αor α T E , where α T M and α T E are complex constants (dually related to each other byμ ↔ε), and whereỹ = 0 is the position of the ground plane. An interesting result of the analysis was that the constant α T E (as far as the author knows) coincidently turned out to be the same as the first of two important constants, namely S 1, which were used by Monzon [2, 3] to formulate integral equations (based on Green's second theorem) from which EM scattering from anisotropic objects could be studied.Spatial Fourier transform (k-space) techniques were used to determine the Green's function of the Helmholtz wave equation expressed in transformed coordinates which satisfied the mixed-partial derivative boundary condition of the system. The Green's function G was expressed as a sum of a "free space" Green's function g f (proportional to a Hankel function H (2) 0 and assumed excited by the line source in unbounded space) and a homogeneous Green's function g whose spectral amplitude was chosen such that, when g was added to g f , the sum G = g f + g, satisfied boundary conditions. The kspace, ...

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Scattering of a wave beam by inhomogeneous anisotropic chiral layer

Cited by 7 publications

References 1 publication

Shape transformation of wave beams falling on quasiperiodic layered structures

Shape transformation of wave beams falling on quasiperiodic layered structures

Three-Dimensional Gaussian Beam Scattering From a Periodic Sequence of Bi-Isotropic and Material Layers

A Rapidly-Convergent, Mixed-Partial Derivative Boundary Condition Green's Function for an Anisotropic Half-Space: Perfect Conductor Case

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