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Journal ArticleDOI

Diffraction analysis of dielectric surface-relief gratings

TLDR
In this article, a dielectric surface-relief grating is analyzed using rigorous coupled-wave theory and the analysis applies to arbitrary grating profiles, groove depths, angles of incidence, and wavelengths.
Abstract
Diffraction by a dielectric surface-relief grating is analyzed using rigorous coupled-wave theory. The analysis applies to arbitrary grating profiles, groove depths, angles of incidence, and wavelengths. Example results for a wide range of groove depths are presented for sinusoidal, square-wave, triangular, and sawtooth gratings. Diffraction efficiencies obtained from the present method of analysis are compared with previously published numerical results. To obtain large diffraction efficiencies (greater than 85%) for gratings with typical substrate permittivities, it is shown that the grating profile should possess even symmetry.

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Citations
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Proceedings ArticleDOI

Achromatic four-quadrant phase mask using the dispersion of form birefringence

TL;DR: In this article, an alternative design for the 4-quadrant phase mask coronagraph was proposed based on the same principle, i.e., producing a very efficient nulling by mutually destructive interferences of the coherent light from the main source.
Journal ArticleDOI

Numerical study on the spectroscopic ellipsometry of lamellar gratings made of lossless dielectric materials

TL;DR: Estimation of grating parameters is investigated by using a cost function defined by the average distance on the Poincaré sphere, and it is shown that the computation required for accurate estimation is possible in reasonable computation time.
Journal ArticleDOI

A Novel Method for Band Structure Analysis of Photonic Crystal Slabs

TL;DR: In this article, a Fourier modal method (FMM) was used to obtain the reflection and transmission coefficients of photonic crystal slabs, which is a kind of crossed gratings.
Journal ArticleDOI

Anti-reflection coatings of zero-index metamaterial for solar cells

TL;DR: In this article, an anti-reflection coating of zero index metamaterials (ZIMs) is proposed for maximum absorption of light in solar cells. But the anti-reflectivity of the ZIM layer is not considered.
Journal ArticleDOI

Gratings for metrology and process control. 1: A simple parameter optimization problem.

TL;DR: A simple graphical method is developed for calculating modulation and groove-to-period ratio of a shallow lamellar grating from its diffraction spectra and for simultaneously checking its assumed shape.
References
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Journal ArticleDOI

Rigorous coupled-wave analysis of planar-grating diffraction

TL;DR: In this article, a rigorous coupled-wave approach is used to analyze diffraction by general planar gratings bounded by two different media, and the analysis is based on a state-variables representation and results in a unifying, easily computer-implementable matrix formulation.
Journal ArticleDOI

Theory of Periodic Dielect Waveguides

TL;DR: In this paper, the propagation of electromagnetic waves along open periodic, dielectric waveguides is formulated as a rigorous and exact boundary-value problem, and the characteristic field solutions are shown to be of the surface-wave or leaky-wave type, depending on the ratio of periodicity to wavelength (d/lambda).
Journal ArticleDOI

Analysis and Design of Grating Couplers

TL;DR: In this paper, simple design criteria for grating couplers which transfer the energy of a beam into or out of an optical waveguide are developed based on an accurate perturbation analysis of the guiding properties of dielectric gratings.
Journal ArticleDOI

Rigorous diffraction theory for transmission phase gratings with deep rectangular grooves

TL;DR: In this article, the diffraction of light by deep rectangular-groove transmission phase gratings is treated by solving Maxwell's equations numerically, and results are given for the light diffracted into the zero order by gratings with grating constants d in the range λ < d < 5λ, aspect ratio b (= linewidth/d), 0 < b < 1, and grating depths a < 5 λ, assuming a refractive index n 0 = 1.
Journal ArticleDOI

Analysis of grating-coupled radiation in GaAs:GaAlAs lasers and waveguides - I

TL;DR: In this paper, a general formulation for arbitrary-shaped gratings which need not be small in size was developed for radiated power from traveling waves as a function of grating tooth height, tooth width, refractive index, waveguide thickness, and period.
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