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
A rigorous study of diffraction effects on the transmission of linear dielectric micro-reflector arrays
Andreas Gombert,Christopher Bühler,Wolfgang Dipl.-Phys. Hoßfeld,Jörg Mick,Jörg Mick,Benedikt Bläsi,Günther Walze,Peter Nitz +7 more
TL;DR: In this article, the scalability of the unit element in linear micro-reflector arrays was studied by using rigorous diffraction theories for periods between 1 and 60 µm and two principally different geometries of the single micro- reflector were compared: a prism at which two prism surfaces enclose an angle of 90° and a compound parabolic concentrator.
Journal ArticleDOI
Fabrication of N-level binary optical elements by use of m mask patterns with N in the range of 2(m-1) + 1 </= N </= 2(m).
TL;DR: Investigation of diffraction characteristics of N-level (5 = N = 8) binary gratings fabricated by repetition of three sets of photolithography and dry-etching processes finds that an eight-level structure does not always give the best value.
Patent
Grating structure for dividing light
TL;DR: In this paper, a grating structure and a solar cell assembly were used to suppress zero-order transmission to near 0% and improve the solar cell's absorption due to coupling with the grating.
Patent
Combining X-ray and VUV analysis of thin film layers
TL;DR: In this paper, an X-ray detector is configured to receive the X-rays that are scattered from the sample and to output a first signal indicative of the received X rays, followed by a VUV detector that detects the VUV radiation reflected from the sampled sample and outputs a second signal indicating that it has been received.
Journal ArticleDOI
Imaging performance of off-axis planar diffractive lenses
TL;DR: In this article, the second-order monochromatic aberration terms are derived for object and image planes normal to the respective object-space and image-space base rays for arbitrary orientation of those base rays.
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.