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
Justification of matrix truncation in the modal methods of diffraction gratings
TL;DR: In this article, the authors studied the legitimacy of using the reduction method in these situations and showed that the solutions of the eigenvalue problems with truncated matrices tend to the exact solutions as the matrix order increases.
Book ChapterDOI
The Microscope in a Computer: Image Synthesis from Three-Dimensional Full-Vector Solutions of Maxwell’s Equations at the Nanometer Scale
TL;DR: A comprehensive review and tutorial on emerging numerical electromagnetic simulations of optical imaging systems based upon three-dimensional full-vector solutions of Maxwell's equations can be found in this article, where a rigorous simulation of both existing and proposed novel optical imaging techniques over a 107:1 dynamic range of distance scales.
Patent
Diffracted light from latent images in photoresist for exposure control
Kenneth P. Bishop,Steven R. J. Brueck,Susan M. Gaspar,Kirt C. Hickman,John R. McNeil,S. Sohail H. Naqvi,Brian R. Stallard,Gary D. Tipton +7 more
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Journal ArticleDOI
Design of a high-energy terahertz pulse source based on ZnTe contact grating
TL;DR: In this paper, a compact, particularly robust, and scalable high-energy THz pulse source is proposed based on optical rectification of femtosecond laser pulses in ZnTe by using a contact grating.
Journal ArticleDOI
Bragg properties of efficient surface relief gratings in the resonance domain
TL;DR: In this article, closed form analytical solutions of diffraction efficiency for transmission surface relief gratings in the resonance domain were presented by modeling the surface relief grings with equivalent graded index gratings having Bragg properties, allowing for an optimum choice of grating parameters that would lead to high diffraction efficiencies.
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.