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 theory solution of phi-periodic circular cylindrical dielectric systems
TL;DR: In this article, a state variable electromagnetic (EM) analysis technique called rigorous wave coupled theory (RCWT) is applied to determine the radiation and scattering that arises from phi-periodic circular cylindrical dielectric systems which have arbitrary radial and azimuthal, inhomogeneous, permittivity variation.
Journal ArticleDOI
High sensitivity sensing system theoretical research base on waveguide-nano DBRs one dimensional photonic crystal microstructure
TL;DR: In this paper, the authors proposed a novel wavelength modulation system dedicated to improve the performance of the integrated silicon microsensor, which includes light source, waveguide, distributed Bragg reflectors (DBRs) and optical spectrum analyzer.
Journal ArticleDOI
Interferometric fabrication of modulated submicrometer gratings in photoresist.
TL;DR: High carrier frequency surface-relief off-axis fan-out gratings for illumination in transmission with visible light are demonstrated.
Journal ArticleDOI
Scattering by a periodically corrugated interface between free space and a gyroelectromagnetic uniaxial medium.
TL;DR: Diffraction of plane waves by a corrugated grating made of a gyroelectromagnetic uniaxial material is set up by using the T-matrix formalism.
Journal ArticleDOI
Rigorous Coupled Wave Theory of Anisotropic, Azimuthally-Inhomogeneous Cylindrical Systems
TL;DR: In this article, a state variable electromagnetic analysis technique called rigorous wave coupled theory (RCWT) is applied to determine the radiation and scattering that arises from inhomogeneous, anisotropic cylindrical dielectric and permeable systems which have arbitrary radial and azimuthal spatial variation.
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.