ACHROMATIZATION OF THE VOLUME HOLOGRAPHIC OPTICAL ELEMENS

The work considers a two-component holographic optical system having a base element in the form of a thick (volume) hologram optical element and intended for use in a given spectral range. The calculation of a two-component holographic system is carried out using formulas obtained from the mirror-lens model of the thick hologram element proposed by the author. It is indicated that according to the mirror model a thick hologram optical element is achromatic in a first approximation. For this the local period of the volume diffraction structure of the hologram element must be many times greater than the working wavelength, and the transverse dimensions of the element must be less than its thickness. Analytical expressions are given for the mutual correction of the chromatic aberration of the position of a thick hologram optical element and a relief kinoform element. The condition for achromatization of this two-component holographic system is formulated.

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A proposed Mathematical Expression for Computer Design of Electrostatic Mirror

Baghdad Science Journal ◽

10.21123/bsj.9.1.148-152 ◽

2012 ◽

Vol 9 (1) ◽

pp. 148-152

Author(s):

Baghdad Science Journal

Keyword(s):

Optical System ◽

Focal Length ◽

Mathematical Expression ◽

Optical Element ◽

Chromatic Aberration ◽

Computer Design ◽

Computational Investigation ◽

Beam Path ◽

Runge Kutta Method ◽

Electrostatic Mirror

A computational investigation has been carried out on the design and properties of the electrostatic mirror. In this research, we suggest a mathematical expression to represent the axial potential of an electrostatic mirror. The electron beam path under zero magnification condition had been investigated as mirror trajectory with the aid of fourth – order – Runge – Kutta method. The spherical and chromatic aberration coefficients of mirror has computed and normalized in terms of the focal length. The choice of the mirror depends on the operational requirements, i.e. each optical element in optical system has suffer from the chromatic aberration, for this case, it is use to operate the mirror in optical system at various values of chromatic aberration to correct it in that system.

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CALCULATION OF THE ACHROMATIC DIFFRACTION SYSTEM WITH CORRECTED SPHERICAL ABERRATION (part 2)

Interexpo GEO-Siberia ◽

10.33764/2618-981x-2020-8-1-127-133 ◽

2020 ◽

Vol 8 (1) ◽

pp. 127-133

Author(s):

Yury Ts. Batomunkuev ◽

Alexandra A. Pechenkina

Keyword(s):

Spherical Aberration ◽

Focal Length ◽

Optical Element ◽

Diffraction Order ◽

Image Plane ◽

Chromatic Aberration ◽

Real Image ◽

Optical Elements ◽

A Value ◽

Analytical Expressions

Achromatization of a three-component diffraction system consisting of one thick and two thin hologram optical elements is considered in the work. Analytical expressions are obtained for correcting the chromatic aberration of the position of a thick focusing hologram optical element by two scattering thin hologram optical elements in a given spectrum range. It is shown that achromatization is achieved for such a three-component system using two thin hologram elements located symmetrically on both sides of the thick element and having a value of the working diffraction order greater than the ratio of the focal length to the distance from the thin element to the image plane (at a given wavelength). The proposed three-component holographic system can be used to convert both an imaginary image into a real image and a real into an imaginary image in predetermined spectral regions of the visible, ultraviolet or infrared ranges of the spectrum.

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Experimental evaluation of the light sword lens performance with a variable pupil size

Photonics Letters of Poland ◽

10.4302/plp.v10i2.814 ◽

2018 ◽

Vol 10 (2) ◽

pp. 36 ◽

Cited By ~ 1

Author(s):

Walter Torres-Sepúlveda ◽

Alejandro Mira-Agudelo ◽

John Fredy Barrera ◽

Andrzej Kolodziejczyk

Keyword(s):

New York ◽

Experimental Study ◽

Pupil Size ◽

Focal Depth ◽

Optical Element ◽

Depth Of Focus ◽

Variable Diameter ◽

Diffraction Structure ◽

Do So

This paper presents an experimental study designed to test the performance of the light sword lens (LSL) with different pupil sizes. To do so, Snellen optotype images obtained by a monofocal lens either with or without an LSL, were compared. Images were obtained for three different pupil sizes at several target vergences. The correlation coefficient and through-focus curves were obtained and compared. The experimental results show differences in the contrast and the depth of focus with different pupil sizes using the monofocal lens without an LSL. In contrast, when using the monofocal lens in combination with the LSL, the quality of the images is similar for all pupils and target vergences used, with slight differences only in halos and contrast. Full Text: PDF ReferencesG. Mikula, Z. Jaroszewicz, A. Kolodziejczyk, K. Petelczyc, M. Sypek, G. P. Agrawal, "Imaging with extended focal depth by means of lenses with radial and angular modulation", Opt Express 15, 9184, (2007). CrossRef A. Kolodziejczyk, S. Bará, Z. Jaroszewicz, M. Sypek, "The Light Sword Optical Element—a New Diffraction Structure with Extended Depth of Focus", J. Mod Opt. 37, 1283, (1990). CrossRef K. Petelczyc et al, "Presbyopia compensation with a light sword optical element of a variable diameter", Photonics Lett. Pol. 1, 55 (2009). DirectLink A. Mira-Agudelo et al, "Compensation of Presbyopia With the Light Sword Lens", Invest Ophthalmol Vis Sci 57, 6871, (2016). CrossRef R.A. Fisher, Statistical Methods for Research Workers (New York, Hafner, 13th Ed., 1958) CrossRef

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Aberrations of Volume Cylindrical Holographic Optical Element

Siberian Journal of Physics ◽

10.54362/1818-7919-2013-8-3-6-12 ◽

2013 ◽

Vol 8 (3) ◽

pp. 6-12

Author(s):

Yuriy Batomunkuev

Keyword(s):

Refractive Index ◽

Characteristic Function ◽

Optical Element ◽

Thermally Induced ◽

The Third ◽

Holographic Optical Element ◽

Seventh Order ◽

Chromatic Aberrations ◽

Cylindrical Volume ◽

Analytical Expressions

The analytical expressions allowed to calculate the third-, fifth- and seventh-order monochromatic and chromatic aberrations are obtained for the cylindrical volume holographic optical element by method of the characteristic function. The formulas for coefficients of third-, fifth- and seventh-order aberrations are presented. It is noted that coefficients of the aberrations arising because of photo induced, thermally induced and deformation changes of refractive index and of sizes of the cylindrical volume holographic optical element can be isolated in these coefficients. It is shown that width of the working spectral range for reflection cylindrical volume holographic optical element is inversely proportional to its thickness and for transmission holographic element is inversely proportional to square its thickness

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Aberrations of Volume Cylindrical Holographic Optical Element

Siberian Journal of Physics ◽

10.54362/1818-7919-2012-7-3-15-23 ◽

2012 ◽

Vol 7 (3) ◽

pp. 15-23

Author(s):

Yuriy Batomunkuev

Keyword(s):

Refractive Index ◽

Characteristic Function ◽

Optical Element ◽

Thermally Induced ◽

The Third ◽

Holographic Optical Element ◽

Seventh Order ◽

Chromatic Aberrations ◽

Cylindrical Volume ◽

Analytical Expressions

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The use of diffractive optical element in 3-5 micrometer optical system

Passive Sensors ◽

10.1117/12.2300230 ◽

1992 ◽

Author(s):

C. W. Chen

Keyword(s):

Optical System ◽

Optical Element ◽

Diffractive Optical Element

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Takens-Bogdanov bifurcation in a two-component nonlinear optical system with diffractive feedback

Journal of Modern Optics ◽

10.1080/09500349808231711 ◽

1998 ◽

Vol 45 (9) ◽

pp. 1927-1942 ◽

Cited By ~ 2

Author(s):

E. V. Degtiarev ◽

V. Wataghin

Keyword(s):

Optical System ◽

Nonlinear Optical ◽

Two Component

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A simple optical system delivering a tunable micrometer pink beam that can compensate for heat-induced deformations

Journal of Synchrotron Radiation ◽

10.1107/s1600577515006566 ◽

2015 ◽

Vol 22 (4) ◽

pp. 930-935 ◽

Cited By ~ 1

Author(s):

Ruben Reininger ◽

Zunping Liu ◽

Gilles Doumy ◽

Linda Young

Keyword(s):

Optical System ◽

Heat Load ◽

Optical Element ◽

High Energy ◽

Angle Of Incidence ◽

Optical Elements ◽

Source Distance ◽

Energy Cutoff ◽

Working Distance ◽

Photon Source

The radiation from an undulator reflected from one or more optical elements (usually termed `pink-beam') is used in photon-hungry experiments. The optical elements serve as a high-energy cutoff and for focusing purposes. One of the issues with this configuration is maintaining the focal spot dimension as the energy of the undulator is varied, since this changes the heat load absorbed by the first optical element. Finite-element analyses of the power absorbed by a side water-cooled mirror exposed to the radiation emitted by an undulator at the Advanced Photon Source (APS) and at the APS after the proposed upgrade (APSU) reveals that the mirror deformation is very close to a convex cylinder creating a virtual source closer to the mirror than the undulator source. Here a simple optical system is described based on a Kirkpatrick–Baez pair which keeps the focus size to less than 2 µm (in the APSU case) with a working distance of 350 mm despite the heat-load-induced change in source distance. Detailed ray tracings at several photon energies for both the APS and APSU show that slightly decreasing the angle of incidence on the mirrors corrects the change in the `virtual' position of the source. The system delivers more than 70% of the first undulator harmonic with very low higher-orders contamination for energies between 5 and 10 keV.

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