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

Attiya, Ahmed M.; Kishk, Ahmed A.

doi:10.2528/pier05110602

Cited by 17 publications

(10 citation statements)

References 15 publications

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“…The modes in the periodic regions are obtained using a vectorial modal method previously developed in [23][24][25] for one-dimensional gratings, and in [4,6] for the two-dimensional case. The mentioned technique has been extended in this contribution for considering an arbitrary number of dielectrics inside the periodic cell under conical incidence excitation.…”

Section: Analysis Methodsmentioning

confidence: 99%

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Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence

Coves¹,

Garrido²,

Martínez³

et al. 2009

PIER

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Abstract-An accurate and efficient formulation is presented for the electromagnetic analysis of dielectric waveguide gratings under planewave conical incidence. An arbitrary number of dielectric bars can be placed inside each one-dimension periodic cell, including the effect of dielectric losses. The reflectance of a dielectric waveguide grating under conical incidence is compared with theoretical results presented by other authors, finding a very good agreement. A single-layer reflection filter has been designed centered at λ 0 = 1.5 µm whose spectral and angular responses are shown. For this structure, the effect of the asymmetry of the distribution of the refraction index in the reflectance has been analyzed, observing a splitting of the reflection peak around the design wavelength. Finally it is discussed the equivalence between a volume grating and a shallow surface-relief grating, providing two examples of designing prescriptions.

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Section: Analysis Methodsmentioning

confidence: 99%

“…Both cases of one-dimensional [3] and two-dimensional [4][5][6] periodic structures have been extensively treated in the technical literature.…”

Section: Introductionmentioning

confidence: 99%

Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence

Coves¹,

Garrido²,

Martínez³

et al. 2009

PIER

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“…For this purpose the AIM is used [11][12][13]. Different aspects of slab waveguide including isotropic and anisotropic cases were considered in [19][20][21][22][23][24][25]. In these papers modal analysis were considered.…”

Section: Introductionmentioning

confidence: 99%

Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides

Rostami¹,

Motavali²

2008

PIER B

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Abstract-In this paper a novel approach based on Asymptotic Iteration Method (AIM) is presented to solve analytically the light propagation through one-dimensional inhomogeneous slab waveguide. Practically implemented optical slab waveguides based on traditional techniques are usually inhomogeneous and numerical methods are used to obtain guided wave characteristics. In this work, we develop analytical method for modal analysis includes Eigen modes (electric and magnetic fields distribution) and Eigen values (guided wave vector) using AIM. The developed method is applied to some especial examples.

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“…Another advantage of this technique is that the required integrations can be calculated analytically for simple shapes of the implanted rods. Attiya and Kishk [17] generalized this modal analysis method to study 2-D dielectric grating slab. This paper presents an additional generalization to include also the effect of changing the relative permeability on the characteristics of a 2-D magneto-dielectric grating slab.…”

Section: Introductionmentioning

confidence: 99%

Analysis of Two-Dimensional Magneto-Dielectric Grating Slab

Attiya¹,

Kishk²,

Glisson³

2007

PIER

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Abstract-Vectorial modal analysis of a 2-D magneto-dielectric grating structure is presented. The modal analysis is combined with the generalized scattering matrix to obtain the transmission and reflection coefficients of multilayered 2-D magneto-dielectric grating slabs. The results are verified with available commercial codes. Physical interpretation of the grating slab behavior is introduced. An equivalent homogeneous magneto-dielectric slab is found using a simple approach for extracting the equivalent permittivity and permeability. Several examples are presented to find the relation between the physical parameters of magneto-dielectric grating slabs and their equivalent parameters. Emphasis on the possibility of designing a metamaterial with equivalent negative permittivity and/or negative permeability by using these grating structures is considered.

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

Cited by 17 publications

References 15 publications

Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence

Filter Response of Resonant Waveguide Dielectric Gratings at Plane-Wave Conical Incidence

Asymptotic Iteration Method: A Powerful Approach for Analysis of Inhomogeneous Dielectric Slab Waveguides

Analysis of Two-Dimensional Magneto-Dielectric Grating Slab

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