Journal ArticleDOI
Practical notes on designing and analysing thick holographic optical elements
N Lindlein,J Schwider +1 more
TLDR
In this paper, the phase functions of aspheric recording wave fronts of a thick HOE in the presence of a wavelength shift are given, and a simple least squares fitting algorithm is used to compute analytic expressions of these phase functions.Abstract:
Equations for tracing rays through (aspheric) holographic optical elements (HOE) are reviewed, and, in addition, the diffraction efficiency of a thick HOE is taken into account. Expressions for calculating the phase functions of aspheric recording wave fronts of a thick HOE in the presence of a wavelength shift are given. A simple least squares fitting algorithm is used to compute analytic expressions of these phase functions. Finally, a method to calculate a focus of rays is described.read more
Citations
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Journal ArticleDOI
Simulation of micro-optical array systems with RAYTRACE
TL;DR: The Raytrace program as discussed by the authors enables the simulation of micro-optical systems containing arrays of microlenses or other optical components, such as a simple Shack-Hartmann sensor with a diffractive microlens array for an incident aspherical wave.
Journal ArticleDOI
Local wave fronts at diffractive elements
TL;DR: In this article, the principal curvatures and principal directions of local wave fronts in an optical system that consists of diffractive curved or plane surfaces between isotropic and homogeneous media are presented.
Journal ArticleDOI
A ray-trace analysis of x-ray multilayer Laue lenses for nanometer focusing
Henry N. Chapman,Saša Bajt +1 more
TL;DR: In this article, the authors apply the ray-tracing formalism for a tolerancing analysis of imperfect lenses and examine some strategies for the correction of their aberrations, and show that the performance of 1 nm-resolution lenses with focal lengths of about 1 mm is limited by the acceptance angle of Bragg diffraction.
Book ChapterDOI
Diffractive components: holographic optical elements
Hans Peter Herzig,René Dändliker +1 more
TL;DR: In this article, the authors focused on holographic optical elements (HOEs), which are diffractive elements fabricated by recording the interference pattern of an object and a reference wave in a photosensitive emulsion.
Journal ArticleDOI
Wavelength Mismatch Correcting Elements for Volume Holograms Written on a Laser Pattern Generator
Norbert Lindlein,Johannes Schwider,Martin Schrader,O. Falkenstörfer,R. Völkel,Norbert Streibl +5 more
TL;DR: In this article, a laser pattern generator is used to generate computer generated holograms, which are used as precompensating elements in the recording step of the interferometrically produced holographic optical elements.
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.
Journal ArticleDOI
Magnification and Third-Order Aberrations in Holography*
TL;DR: In this article, the authors derived formulas for angular, lateral, and longitudinal magnification in reconstructed images by holography (imaging by reconstructed wavefronts) and discussed conditions under which one or more of the aberration coefficients vanish, taking into account an off-axis angle of both reference and illuminating beam.
Journal ArticleDOI
Nonparaxial Imaging, Magnification, and Aberration Properties in Holography*
TL;DR: In this paper, the imaging, magnification, and aberration properties of the images formed from holograms were extended to the non-paraxial case, which can be used to locate accurately the position of an image point in cases where the paraxial theory fails.
Journal ArticleDOI
Computer-based analysis of hologram imagery and aberrations. I. Hologram types and their nonchromatic aberrations.
TL;DR: A close parallelism between the bending characteristics of lenses and the construction geometry of holograms is noted and illustrates the flexibility with which the aberrations of a hologram may be modified by changes in the recording geometry.
Journal ArticleDOI
Computer-Based Analysis of Holography Using Ray Tracing
TL;DR: This section is used to perform a study of the effects of hologram emulsion shrinkage and methods for compensation, and a thick media analysis is included in the computer programs.