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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Effects of total internal reflection on the reflectivities of dielectric gratings
TL;DR: In this paper, the authors point out that the phenomenon of total internal reflection appearing on interaction of an electromagnetic wave, incident from a dielectric at the corrugated interface separating this medium from vacuum, can give rise to very large reflectivities (close to 100%).
Journal ArticleDOI
Electromagnetic diffraction analysis of columned grid gratings
TL;DR: In this paper, the authors employ the rigorous vector coupled-wave theory to analyse the electromagnetic diffraction nature of two-dimensional columned grid gratings and show that a glass grating can achieve antireflection over almost the whole visible light waveband for unpolarized light.
Journal ArticleDOI
Rigorous analysis of diffraction gratings of arbitrary profiles using virtual photonic crystals
Wei Jiang,Ray T. Chen +1 more
TL;DR: A new approach is developed to calculate diffraction efficiency for a dielectric grating with an arbitrary refractive index profile by treating a one-dimensional grating as a segment of a virtual two-dimensional (2D) photonic crystal, which exploits a rigorous theory ofPhotonic crystal refraction.
Journal ArticleDOI
Applicability of Rytov’s Full Effective-Medium Formalism to the Physical Description and Design of Resonant Metasurfaces
Hafez Hemmati,Robert Magnusson +1 more
TL;DR: In this paper, the advent of metamaterials and metastructures is grounded in a fundamental pillar of physics supporting a plethora of scientific concepts and applications, including periodic photonic lattices.
Journal ArticleDOI
Multilayer modal method for diffraction from dielectric inhomogeneous apertures
TL;DR: In this article, the scattering of electromagnetic waves by a dielectric structure that fills a slit aperture in a conducting screen is considered, and a rigorous R-matrix multilayer modal method is applied, which gives numerical stability even for deep structures.
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).
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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.
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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.
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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.