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
Excitation and cancellation of higher-order beam modes at isotropic interfaces
Wojciech Nasalski,Y. Pagani +1 more
TL;DR: In this article, the cross-polarization effect depends quantitatively on interrelations between beam field spatial distribution and beam polarization, and these relations are derived for two basic cases of linear and circular polarization and confirmed by numerical simulations.
Proceedings ArticleDOI
Resist and etched line profile characterization using scatterometry
TL;DR: In this paper, the authors proposed a non-square line profile model based on the tangent line that connects the two circles of the resist line and the trapezoidal portion of the line.
Journal ArticleDOI
Lasers and optics: looking towards third generation gravitational wave detectors
Nergis Mavalvala,David E. McClelland,Guido Mueller,David H. Reitze,Roman Schnabel,Benno Willke +5 more
TL;DR: In this paper, the current state-of-the-art and future trends in laser and optical technologies for interferometric interferometer detectors are discussed and an overview of the state of the art can be found.
Journal ArticleDOI
Modal method based on spline expansion for the electromagnetic analysis of the lamellar grating
TL;DR: In this paper, the authors describe the electromagnetic analysis of the lamellar grating as an eigenvalues problem and choose the second degree spline as basis functions, projected onto a set of test functions.
Journal ArticleDOI
Validity of scalar diffraction theory and effective medium theory for analysis of a blazed grating microstructure at oblique incidence
TL;DR: The accuracy of scalar diffraction theory (SDT) and effective medium theory (EMT) for analyzing a blazed grating is quantitatively demonstrated by making a comparison of diffraction efficiencies calculated by the two simplified methods to exact results from the Fourier modal method.
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.