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
More filters
Journal ArticleDOI
Rigorous Coupled Wave Analysis of Surface Plasmon Resonance Sensor Based on Metallic Grating
TL;DR: In this paper, the authors theoretically investigated the sensing character of surface plasmon resonance (SPR) sensor with reflection type metallic with Rigorous Coupled Wave Analysis (RCWA) method, and the mechanism is analyzed by the field distribution.
Journal ArticleDOI
An Outward-Looking Differential Equation Formulation for Scattering From One-Dimensional Periodic Diffraction Gratings
TL;DR: In this paper, a finite element discretization is implemented using piecewise-linear interpolation functions for reflection and transmission coefficients associated with several diffraction gratings, and numerical results are presented for the reflection coefficients.
Journal ArticleDOI
Tapered Simplified Modal Method for Analysis of Non-rectangular Gratings
TL;DR: In this article, the authors used the theory of mode-coupling in a tapered waveguide to improve SMM so that it applies to non-rectangular gratings at arbitrary angles of incidence.
Proceedings ArticleDOI
Methane steam reforming by resonant excitation of vibrational levels using spectrally controlled thermal radiation
TL;DR: In this paper, the thermal radiation spectrum is adjusted to the vibrational absorption bands of methane and water molecules near 3μm by making two-dimensional (2D) microcavities with the period Λ=2.6 μm on the radiative surface.
Proceedings ArticleDOI
Two-Dimensional Electromagnetic Scattering by Lamellar Grating with a Defect
Koki Watanabe,K. Higa +1 more
TL;DR: In this paper, a pseudo-periodic Fourier transform is used to make the field components pseudoperiodic, and the scattering problem is formulated by the rigorous coupled-wave method with the use of Li's Fourier factorization rules.
References
More filters
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.