Journal ArticleDOI
Diffraction analysis of dielectric surface-relief gratings
M. G. Moharam,Thomas K. Gaylord +1 more
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.read more
Citations
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Proceedings ArticleDOI
Design and fabrication of diffractive optical element applied to vertical-cavity surface emitting laser.doc
TL;DR: In this article, the authors combined vertical-cavity surface emitting laser (VCSEL) with diffractive optical elements (DOEs) into a single opto-electric semiconductor device.
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Longitudinal polynomial expansion method for arbitrary-shaped gratings
Gérard Granet,K. Edee,K. Sirenko +2 more
TL;DR: In this article, the authors proposed a multilayer Fourier modal method for analyzing arbitrary-shaped surface-relief gratings, which avoids the staircase approximation of the actual grating by using the rectangle method.
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Development and Evaluation of the Binary Hologram Elements
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Enhanced second-harmonic generation in periodic nonlinear optical nanostructures
TL;DR: In this article, the authors present nanostructure designs for the enhancement of second-harmonic generation, analyze the transverse localization and phase matching effects in these structures, and predict the second harmonic generation process using a rigorous electromagnetic modeling tool.
Proceedings ArticleDOI
Spectral-domain analysis of electromagnetic scattering from lamellar grating with defects
TL;DR: In this paper, a spectral-domain formulation of two-dimensional electromagnetic scattering from a lamellar grating in which some ridges are removed is presented, based on the rigorous coupled-wave analysis with the help of the pseudo-periodic Fourier transform.
References
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Journal ArticleDOI
Rigorous coupled-wave analysis of planar-grating diffraction
M. G. Moharam,Thomas K. Gaylord +1 more
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
Theodor Tamir,S. T. Peng +1 more
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.