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We present a geometric framework to model the optical effects of deformations of planar holographic optical elements (HOE) into curved surfaces, such as sphere segments. In particular, we consider deformations which do not preserve the…

Image and Video Processing · Electrical Eng. & Systems 2021-03-24 Tobias Graf

This work theoretically investigates wide-spectrum and high-resolution diffraction optical elements (DOE) that are made of stacks of low-resolution binary phase gratings, whereby the two-dimensional grids in different grating layers are…

Optics · Physics 2021-06-08 I-Lin Ho , Wang-Yang Li

We describe a dispersive unit consisting of cascaded volume-phase holographic gratings for spectroscopic applications. Each of the gratings provides high diffractive efficiency in a relatively narrow wavelength range and transmits the rest…

Instrumentation and Methods for Astrophysics · Physics 2017-05-04 Eduard R. Muslimov , Gennady G. Valyavin , Sergei N. Fabrika , Nadezhda K. Pavlycheva

In this chapter, we demonstrate a general formulation of the Finite Element Method allowing to calculate the diffraction efficiencies from the electromagnetic field diffracted by arbitrarily shaped gratings embedded in a multilayered stack…

Optics · Physics 2013-02-06 Guillaume Demésy , Frédéric Zolla , André Nicolet , Benjamin Vial

We present a procedure to reconstruct objects from holograms recorded in in-line holography settings. Working with one beam of polarized light, the topological derivatives and energies of functionals quantifying hologram deviations yield…

Optics · Physics 2018-04-09 A. Carpio , T. G. Dimiduk , V. Selgas , P. Vidal

A method to design gratings in integrated photonics, is presented. The method is based on a transfer matrix formalism enhanced by Finite Element Method (FEM) parameter calculations. The main advantages of the proposed technique are the easy…

Optics · Physics 2021-06-14 Clara Zaccaria , Mattia Mancinelli , Lorenzo Pavesi

We discuss the applicability of holographically recorded gratings in photopolymers and holographic polymer-dispersed liquid crystals as neutron optical elements. An experimental investigation of their properties for light and neutrons with…

We have studied the optical properties of gratings micro-fabricated into semiconductor wafers, which can be used for simplifying cold-atom experiments. The study entailed characterisation of diffraction efficiency as a function of coating,…

Atomic Physics · Physics 2016-06-14 James P. McGilligan , Paul F. Griffin , Erling Riis , Aidan S. Arnold

The traditional head-up display (HUD) system has the disadvantages of a small area and a single display plane, here we propose and design an augmented reality (AR) HUD system with multi-plane, large area, high diffraction efficiency and a…

Human-Computer Interaction · Computer Science 2021-04-30 Zhenlv Lv , Juan Liu , Liangfa Xu

In the present article we consider an accurate modeling of spectrograph with cascade of volume-phase holographic gratings. The proposed optical scheme allows to detect spectra in an extended wavelength range without gaps providing…

Instrumentation and Methods for Astrophysics · Physics 2017-06-07 Eduard Muslimov , Gennady Valyavin , Sergei Fabrika , Nadezhda Pavlycheva

A topology optimization method is presented and applied to a blazed diffraction grating in reflection under conical incidence. This type of gratings is meant to disperse the incident light on one particular diffraction order and this…

Computational Physics · Physics 2024-11-06 Simon Ans , Frédéric Zamkotsian , Guillaume Demésy

Gratings and holograms are patterned surfaces that tailor optical signals by diffraction. Despite their long history, variants with remarkable functionalities continue to be discovered. Further advances could exploit Fourier optics, which…

Recently, some hypergraph-based methods have been proposed to deal with the problem of model fitting in computer vision, mainly due to the superior capability of hypergraph to represent the complex relationship between data points. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-02-14 Shuyuan Lin , Guobao Xiao , Yan Yan , David Suter , Hanzi Wang

We discuss the applicability of holographically patterned polymers, polymer dispersed liquid crystals, and nanoparticle-polymer composites as optical elements for cold neutrons. Requirements concerning the spacing, thickness or strength of…

We present an algorithm for holographic shaping of partially coherent light, bridging the gap between traditional coherent and geometric optical approaches. The description of partially coherent light relies on a mode expansion formalism,…

Optics · Physics 2022-01-26 Nicolas Barré , Alexander Jesacher

We discuss the polarization properties and first-order diffraction efficiencies of volume phase holographic (VPH) transmission gratings, which can be exploited to improve the throughput of modern spectrographs. The wavelength of peak…

Astrophysics · Physics 2011-03-10 I. K. Baldry , J. Bland-Hawthorn , J. G. Robertson

This work presents the implementation, numerical examples and experimental convergence study of first- and second-order optimization methods applied to one-dimensional periodic gratings. Through boundary integral equations and shape…

Optimization and Control · Mathematics 2020-11-04 Rubén Aylwin , Gerardo Silva-Oelker , Carlos Jerez-Hanckes , Patrick Fay

Geometric integration theory can be employed when numerically solving ODEs or PDEs with constraints. In this paper, we present several one-step algorithms of various orders for ODEs on a collection of spheres. To demonstrate the versatility…

Numerical Analysis · Mathematics 2011-12-05 Debra Lewis , Nilima Nigam

In this article, we derive a theoretical formalism that unifies the rigorous coupled wave analysis and the dynamical diffraction theory. Based on this formalism, we design a computational approach for the diffraction calculation for the…

Computational Physics · Physics 2025-09-30 K. V. Nikolaev , V. Soltwisch , M. A. Botchev , A. Fernández Herrero , P. Hönicke , F. Scholze , S. N. Yakunin

In optical devices like diffraction gratings and Fresnel lenses, light wavefront is engineered through the structuring of device surface morphology, within thicknesses comparable to the light wavelength. Fabrication of such diffractive…

Optics · Physics 2021-07-28 S. L. Oscurato , F. Reda , M. Salvatore , F. Borbone , P. Maddalena , A. Ambrosio
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