Electromagnetic Scattering From Inhomogeneous Planar Layered Media Using Notation of Propagators

Nayyeri, Vahid; Zarifi, Davoud; Soleimani, Mohammad

doi:10.1080/09205071.2012.710359

Cited by 13 publications

(7 citation statements)

References 27 publications

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“…1, both sides of the inhomogeneous bianisotropic slab having thickness d are free space and a plane wave impinges with an angle θ i from free space onto it. In the forward problem, the reflection and transmission coefficients of inhomogeneous bianisotropic slab are calculated by the notation of propagators technique for inhomogeneous media which has been described in [23]. Using the Maxwell's equations and assuming exp(−jωt) time conversion, the tangential components of the electric and magnetic fields, that is E xy and H xy , satisfy the following equations…”

Section: Forward Problem Analysismentioning

confidence: 99%

“…Exact solution of the wave equation in such media is known for only a few particular profiles; and because of this, the wave propagation and scattering from inhomogeneous media has been intensively investigated and several approaches have been presented [15][16][17][18][19][20][21][22]. Recently, notation of propagator and wave splitting method is extended to analysis of inhomogeneous planar layered bianisotropic media [23]. An optimisation-based technique has been presented in [24] to simultaneously evaluate the permeability, permittivity and chirality parameter of a homogeneous bianisotropic slab from the knowledge of the transmission and reflection coefficients.…”

Section: Introductionmentioning

confidence: 99%

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Technique for inversion of an inhomogeneous bianisotropic slab through an optimisation approach

Farahbakhsh

Zarifi

Abdolali

et al. 2013

IET Microwaves, Antennas & Propagation

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An electromagnetic inversion method is presented to reconstruct the constitutive parameters of an inhomogeneous bianisotropic slab. The measured co-and cross-reflection and transmission coefficients are used to extract the electromagnetic parameters profiles of the inhomogeneous bianisotropic media from the proposed method, using truncated Fourier series expansion and Gravitational Search Algorithm (GSA). GSA is used to improve the speed and accuracy of the optimisation process because of the complexity of inhomogeneous bianisotropic media, highly non-linearity of optimisation problem, and extremely large search space. Finally, the accuracy and robustness of the proposed reconstruction method are validated using some typical examples.

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Section: Forward Problem Analysismentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Technique for inversion of an inhomogeneous bianisotropic slab through an optimisation approach

Farahbakhsh

Zarifi

Abdolali

et al. 2013

IET Microwaves, Antennas & Propagation

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“…The Fourier transformed electric fields of the regions 2 and 3 can be written in the as (4) and (5). Using (A2), (4), (5), (7), (8) and the boundary conditions enforcing the tangential electric and magnetic fields at the boundaries of the structure, the unknown coefficients and then the electric and magnetic fields in the inhomogeneous region are completely determined. The results are shown in Figure 2.…”

Section: Appendix Amentioning

confidence: 99%

“…Inhomogeneous media are described by the constitutive parameters varying with spatial variables and are efficiently used in various microwave devices [1][2][3]. Exact solution of the wave equation in inhomogeneous media is known for only a few particular profiles; and due to this, the scattering from inhomogeneous media has been intensively investigated and several approaches for analyzing such problems have been presented [4][5][6][7][8][9][10][11][12][13][14][15][16][17].…”

Section: Introductionmentioning

confidence: 99%

Analysis of Electromagnetic Cylindrical Wave Interaction With Inhomogeneous Planar Media

Hosseininejad

Abdolali²,

Komjani³

et al. 2013

PIER

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Abstract-An analytical method based on combination of Fourier transform and Taylor's series expansion is presented for analyzing interaction of electromagnetic cylindrical waves with inhomogeneous planar layered media. In the proposed method, constitutive parameters and Fourier transformed electric and magnetic fields of inhomogeneous layer are expressed using Taylor's series expansion. The validity of the method is verified by considering some special types of inhomogeneous media and comparing the obtained results by the presented method with those of other reported methods. The results showed that when Fourier transform combined with Taylor's series expansion, they could provide a powerful technique for analyzing such problems.

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“…4. Since PML region is inhomogeneous, the propagator dyadic P is obtained by the technique presented in [16]. Furthermore, the reflection from the same PML backed by a PEC and PMC are given in this figure.…”

mentioning

confidence: 99%

Low Dispersive Compact ID-FDTD Algorithm for Electrically Large Waveguides

Kim

Yook

2012

IEEE Trans. Antennas Propagat.

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respectively backed by a PEMC with M0 = 1. In (30), max = 5; m = 2, and d = 0:5 cm are assumed. The reflection from such a PEMC-backed PML is calculated and also shown in Fig. 4. Since PML region is inhomogeneous, the propagator dyadic P is obtained by the technique presented in [16]. Furthermore, the reflection from the same PML backed by a PEC and PMC are given in this figure. It is obvious that although the reflections are the same in absolute value, the reflection from the PML interface is cross-polarized and co-polarized in the case of backing by PEMC with M 0 = 1 and backing by PEC or PMC respectively, confirming our expectation. IV. CONCLUSIONThis communication presents an analytic approach based on the propagators and wave-splitting technique for calculating plane-wave reflection from stratified media backed by a PEMC. Verifications are carried out by first derivation of the reflection dyadic of a PEC-backed stratified medium and second by derivation of the reflection dyadic of a PEMC interface.Two numerical examples are provided to demonstrate the application of PEMC boundaries for polarization transforming purposes. The communication introduces the PEMC-backed PMLs as alternatives for the truncation boundaries in 2-D numerical techniques in order to eliminate the co-polarized reflections from the boundaries and hence increase numerical accuracies. ACKNOWLEDGMENT The authors would like to gratefully acknowledge Prof. A. H. Sihvola and Prof. I. V. Lindell for their constructive comments and also the reviewers for their careful review of the communication. REFERENCES [1] I. V. Lindell and A. H. Sihvola, "Perfect electromagnetic conductor," Abstract-A novel compact finite difference time domain (FDTD) scheme is proposed to remedy the anisotropic dispersion characteristic and inaccurate transverse cutoff frequency observed in conventional compact FDTD schemes. The proposed scheme is formulated based on the two-dimensional (2D) isotropic-dispersion finite difference (ID-FD) equation (I. Koh, et al, "Novel explicit 2-D FDTD scheme with isotropic dispersion finite-difference time-domain algorithm" IEEE Trans. Antennas Propag., vol. 54, no. 11, pp. 3505-3510, Nov. 2006), which is a novel low dispersion finite difference (FD) scheme. The formulation is derived for the scaling factors constrained with both the exact phase constant and cutoff frequency in the transverse domain, and for an optimal weighting factor using the least mean square (LMS) algorithm for the ID-FD equation. Index Terms-Compact FDTD, ID-FD equation, low dispersion, transverse cutoff frequency.

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Electromagnetic Scattering From Inhomogeneous Planar Layered Media Using Notation of Propagators

Cited by 13 publications

References 27 publications

Technique for inversion of an inhomogeneous bianisotropic slab through an optimisation approach

Technique for inversion of an inhomogeneous bianisotropic slab through an optimisation approach

Analysis of Electromagnetic Cylindrical Wave Interaction With Inhomogeneous Planar Media

Low Dispersive Compact ID-FDTD Algorithm for Electrically Large Waveguides

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