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Diffraction by thick, periodically stratified gratings with complex dielectric constant
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In this paper, the authors extended Burckhardt's solution for diffraction from a thick grating to include complex dielectric constants and nonsinusoidal stratifications, which allowed any realistic periodic structure to be handled.Abstract:
This paper extends Burckhardt’s solution for diffraction from a thick grating to include complex dielectric constants and nonsinusoidal stratifications. This allows any realistic periodic structure to be handled. Computed results are compared with coupled-wave theory, as described by Kogelnik, with emphasis on strongly absorbing gratings such as those made by photographing an interference pattern. Finally, some experimental holographic data are compared with computations that take into account the photographic nonlinearity between exposure and dielectric constant.read more
Citations
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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
Analysis and applications of optical diffraction by gratings
Thomas K. Gaylord,M. G. Moharam +1 more
TL;DR: In this article, an exact formulation of the grating diffraction problem without approximations is presented, using a series of fundamental assumptions, which reduces to the various existing approximate theories in the appropriate limits.
Journal ArticleDOI
S4 : A free electromagnetic solver for layered periodic structures
Victor Liu,Shanhui Fan +1 more
TL;DR: S 4 is described, a free implementation of the Fourier modal method (FMM), which has also been commonly referred to as rigorous coupled wave analysis (RCWA), for simulating electromagnetic propagation through 3D structures with 2D periodicity and the design aspects that allow S 4 to be a flexible platform for these types of simulations are detailed.
Journal ArticleDOI
Three-dimensional vector coupled-wave analysis of planar-grating diffraction
M. G. Moharam,Thomas K. Gaylord +1 more
TL;DR: In this paper, a 3D vector coupled-wave analysis of an arbitrarily oriented planar grating with slanted fringes is presented, which applies to any sinusoidal or nonsinusoidal amplitude and/or phase grating, any plane-wave angle of incidence, and any linear polarization.
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.
References
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Journal ArticleDOI
Coupled wave theory for thick hologram gratings
TL;DR: In this paper, a coupled wave analysis of the Bragg diffraction of light by thick hologram gratings is given, analogous to Phariseau's treatment of acoustic gratings and to the dynamical theory of X-ray diffraction.
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Interferometric Vibration Analysis by Wavefront Reconstruction
Robert L Powell,Karl A. Stetson +1 more
TL;DR: In this paper, a study of the Leith-Upatnieks hologram for the time average of the coherent wavefronts scattered from a vibrating object is reported, and the image reconstructed by the hologram is found to contain a system of interference fringes which map contours of constant vibration amplitude, thus providing a method of analyzing the vibration of objects with arbitrary surfaces.
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Holographic data storage in three-dimensional media.
TL;DR: The holographic storage of diffraction patterns in a three-dimensional media is described from a vector viewpoint derived from the Kirchhoff diffraction integral, and experimental results are given.
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Diffraction of a Plane Wave at a Sinusoidally Stratified Dielectric Grating
Abstract: The problem of diffraction at a sinusoidally stratified dielectric grating is treated. The analysis of the reconstruction process from a hologram formed in a “thick” photographic emulsion leads to this problem, but it may also occur in other areas. A rigorous solution of this problem is presented for both polarizations of the electric wave. The solution is evaluated numerically for values of the different parameters that are typical for holograms. It is shown that the amplitude of the diffracted light has a maximum if the light is incident at the Bragg angle, a feature already observed experimentally. Results are given for different values of the period as well as the thickness of the grating and for both polarizations.
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Photographic Recording of Spatially Modulated Coherent Light
TL;DR: In this paper, the amplitude transmittance (Ta) vs exposure (E) curve of the film was analyzed in terms of a nonlinear circuit model for spatially modulated coherent light.