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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Journal ArticleDOI
Concurrent design of quasi-random photonic nanostructures.
Won Kyu Lee,Shuangcheng Yu,Clifford J. Engel,Thaddeus Reese,Dongjoon Rhee,Wei Chen,Teri W. Odom +6 more
TL;DR: Winkle lithography is reported, a wafer-scale fabrication procedure whose processing steps can be integrated with concurrent design of nanostructures and function and statistically represented the quasi-random patterns by Fourier spectral density functions (SDFs) that could bridge the processing–structure and structure–performance relations.
Journal ArticleDOI
Design and performance of diffractive optics for custom laser resonators
TL;DR: A 10-cm-long diffractive resonator design is shown that supports an 8.5-mm-wide fundamental mode with a theoretical second-order mode discrimination of 25% and a negligible loss to the fundamental mode.
Journal ArticleDOI
Scattering by periodic achiral-chiral interfaces
TL;DR: In this paper, a vectorial treatment of the problem of scattering by singly periodic interfaces between chiral and achiral media has been presented by means of an improved T-matrix method of solution.
Journal ArticleDOI
Wave Localization of Doubly Periodic Guided-mode Resonant Grating Filters
TL;DR: In this article, the authors investigated the spread area of light waves in the waveguide layer and the accumulation of field energy by numerical simulation using the finite differential time domain (FDTD) method and showed that, in the case of a doubly periodic GMRG filter with a Q factor of 600, the field energy is spread over an area 5 um in width, which corresponds to the expected value from the angular tolerance.
Proceedings ArticleDOI
Low voltage, highly tunable diffraction grating based on dielectric elastomer actuators
TL;DR: In this paper, an electrically tunable diffraction grating, driven by thin-film dielectric elastomer actuators, is presented, achieving a continuous grating period change of 19.2% when a voltage of 500 V is applied.
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.