Rigorous Coupled Wave Theory of Anisotropic, Azimuthally-Inhomogeneous Cylindrical Systems

Jarem, John M.

doi:10.1163/156939398x01132

Cited by 9 publications

(16 citation statements)

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“…Future work will be devoted to use the Green's function to study scattering from anisotropic objects located above a perfect magnetic conductor ground plane using the MoM integral equation method developed by Monzon [2,3,[12][13][14][15][16]. This work may be validated using the Rigorous Coupled Wave Analysis (RCWA) algorithm of [19,28]. Future work will also be applied to study the Green's functions of anisotropic metamaterials when adjacent to a perfect conductor ground plane as discussed in the Introduction.…”

Section: Discussionmentioning

confidence: 99%

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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Section: Discussionmentioning

confidence: 99%

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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“…In the following sections, we will numerically model the capacitance of the IDC associated with anisotropic [19][20][21] and inhomogeneous [22][23][24] LC film.…”

Section: Interdigital Capacitor Structurementioning

confidence: 99%

Capacitive Interdigital Sensor With Inhomogeneous Nematic Liquid Crystal Film

Abu-Abed¹,

Lindquist²

2008

PIER B

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Abstract-The performance of capacitive interdigital sensors involved with anisotropic and inhomogeneous nematic liquid crystal (LC) film is investigated. These sensors have potential applications in chemical and biological systems. The theory for modeling the permittivity tensor of the LC film as a function of the molecular orientation is presented. The LC film is handled as inhomogeneous material where molecules are assumed to have different orientations with respect to the frame axes. Under these conditions, fringing field capacitances as functions of the molecular deformations are calculated. Examples of modeled capacitive interdigital sensors in the present of different inhomogeneous distributions of LC films will be studied and discussed.

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“…Multilayered eccentric dielectric rods are studied by the indirect mode-matching solution in [7][8][9]. Rigorous Coupled Wave Analysis (RCWA) algorithm is applied in [10][11][12] to study EM scattering by multi-eccentric circular or elliptical cylinders. For single layer dielectric rod forest, we have analysed the EM properties in [13,14], and the equivalent microwave network method (EMN) is applied in the analysis process.…”

Section: Introductionmentioning

confidence: 99%

Efficient Analysis of Multilayered Dielectric Rods by Equivalent Microwave Network Method

Gui¹,

Zhou²,

Tian³

et al. 2017

PIER M

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Abstract-Multilayered dielectric rods are widely used, and the analysis of their electromagnetic scattering properties is very important in practical design. Based on our former work on the single layer dielectric rod forest, the equivalent microwave network method (EMN) is applied to analyse the concentric and eccentric multilayered dielectric rods in this article. The key step is to obtain the reflection matrix of the multilayered dielectric. Based on the EMN method, the electromagnetic scattering properties of a novel electromagnetic band gap (EBG) structure are calculated. The EBG structure is formed by periodically embedding multilayered dielectric rods into the original dielectric between power/ground planes. The accuracy and efficiency of the EMN method are verified by comparing with the simulation results by the FIT simulator CST. In addition, the EMN method takes about 1 minute to obtain the results, while the simulator takes nearly 20 hours with the same computer.

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Rigorous Coupled Wave Theory of Anisotropic, Azimuthally-Inhomogeneous Cylindrical Systems

Cited by 9 publications

References 0 publications

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

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

Capacitive Interdigital Sensor With Inhomogeneous Nematic Liquid Crystal Film

Efficient Analysis of Multilayered Dielectric Rods by Equivalent Microwave Network Method

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