Reflection and transmission of waves from multilayer structures with planar-implanted periodic material blocks

Yang, Han‐Chung; Díaz, Rodolfo E.; Alexopoulos, N.G.

doi:10.1364/josab.14.002513

Cited by 39 publications

(18 citation statements)

References 17 publications

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“…The thickness of the substrate is 2 mm. The φ inc angle is fixed to be zero degree while θ inc [7]. However, it is noted that there is a fixed difference in the resonance frequency between their results and the present results.…”

Section: Resultscontrasting

confidence: 60%

“…These applications and others were the motivation to introduce comprehensive studies of different dielectric grating structures using different techniques during last two decades [1][2][3][4][5][6][7][8][9][10][11][12]. These techniques can be classified into two main categories, numerical techniques such as method of moment [7] and finite difference time domain [9] and semi-analytical techniques such as transverse resonance technique [3][4][5]10] and modal analysis [1,2,11,12]. The main advantage of numerical techniques is that they can easily include any perturbation in finite periodic structure as well as solving infinite periodic structures.…”

Section: Introductionmentioning

confidence: 99%

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Modal Analysis of a Two-Dimensional Dielectric Grating Slab Excited by an Obliquely Incident Plane Wave

Attiya¹,

Kishk²

2006

PIER

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Abstract-A vectorial modal analysis of two-dimensional (2-D)dielectric grating is presented. The transmission and reflection from the 2-D dielectric-grating slab are computed by combining the generalized scattering matrix and the modal analysis. New insights on the boundary conditions between two grating structures are presented to be suitable for two-dimensional gratings. The results obtained using the present analysis are verified with published experimental and numerical results for both one-and two-dimensional dielectric-grating slabs. The present approach provides fast convergence and provides good agreement with other numerical techniques. This technique is used to study the effects of different parameters for designing a wide band FSS composed of multilayered 2-D grating slabs.

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Section: Resultscontrasting

confidence: 60%

Section: Introductionmentioning

confidence: 99%

Modal Analysis of a Two-Dimensional Dielectric Grating Slab Excited by an Obliquely Incident Plane Wave

Attiya¹,

Kishk²

2006

PIER

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“…Four models are considered: an infinitely thin perfectly electrically conducting (PEC) metallic grating (2D structure with y-direction uniformity) [16], a dielectric block periodic structure [17], an annular aperture FSS [18] and a microstrip patch FSS [1]. In the simulations, a desktop PC with CPU speed 2.79GHz and 2.5Gbytes of memory was used.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…The second structure is a dielectric slab with periodically implanted dielectric blocks [17]. The dimensions of the unit cell and the material properties are shown in Fig.3.…”

Section: Numerical Resultsmentioning

confidence: 99%

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Faster 3D finite element time domain – Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

Cai

Mias

2009

IET Microw. Antennas Propag.

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Hybrid finite element modelling of conformal antenna and array structures utilizing fast integral methods

Eibert

Sertel

Volakis

2000

Int. J. Numer. Model.

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Hybrid "nite element methods (FEM) which combine the "nite element and boundary integral methods have been found very successful for the analysis of conformal "nite and periodic arrays embedded on planar or curved platforms. A key advantage of these hybrid methods is their capability to model inhomogeneous and layered material without a need to introduce complicated Green's functions. Also, they o!er full geometrical adaptability and are thus of interest in general-purpose analysis and design. For the proposed hybrid FEM, the boundary integral is only used on the aperture to enforce the radiation condition by employing the standard free space Green's function.The boundary integral truncation of the FEM volume domain, although necessary for rigor, is also the cause of substantial increase in CPU complexity. In this paper, we concentrate on fast integral methods for speeding-up the computation of these boundary integrals during the execution of the iterative solver. We consider both the adaptive integral method (AIM) and the fast multipole method (FMM) to reduce the complexity of boundary integral computation down to O(N?) with (1.5. CPU and memory estimates are given when the AIM and FMM accelerations are employed as compared to the standard O(N) algorithms. In addition, several examples are included to demonstrate the practicality and application of these fast hybrid methods to planar "nite and in"nite arrays, frequency selective surfaces, and arrays on curved platforms.

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Reflection and transmission of waves from multilayer structures with planar-implanted periodic material blocks

Cited by 39 publications

References 17 publications

Modal Analysis of a Two-Dimensional Dielectric Grating Slab Excited by an Obliquely Incident Plane Wave

Modal Analysis of a Two-Dimensional Dielectric Grating Slab Excited by an Obliquely Incident Plane Wave

Faster 3D finite element time domain – Floquet absorbing boundary condition modelling using recursive convolution and vector fitting

Hybrid finite element modelling of conformal antenna and array structures utilizing fast integral methods

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