HOLOEYE Photonics. HOLOEYE Photonics AG. HOLOEYE Corporation

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2 HOLOEYE Photonics Products and services in the field of diffractive micro-optics Spatial Light Modulator (SLM) for the industrial research R&D in the field of diffractive optics Micro-display technologies for technical optics HOLOEYE Photonics AG Albert-Einstein-Str Berlin Tel: +49 (0) Fax: +49 (0) HOLOEYE Corporation Verdugo Dr., Suite 114 Laguna Hills, CA Tel: +1 (949) Fax: +1 (949)

3 Introduction Components based on optical and related technologies are found in many everyday products. OptiXplorer is designated to provide insights into Liquid Crystals and LC Displays Diffractive Optics and Fourier Optics Adaptive Optics OptiXplorer addresses the ever-increasing significance of the educational topics: Nonlinear Optics of Liquid Crystals Fourier Optics and Wave-Optical Description of Optical Systems

4 OptiXplorer Product Concept The OptiXplorer is specially designed for educational purposes. provides a variety of experiments for both introductory and advanced laboratory courses in Nonlinear Optics and Fourier Optics. includes educational tutorials developed in cooperation with the Institute of Solid State Physics at the University of Bremen, Germany the Laboratory for Coherence Optics at the Institute of Physics at Humboldt University Berlin, Germany. Reconstructions from diffractive pattern generators using a SLM. Signals are Logos of Humboldt University Berlin and University of Bremen

5 OptiXplorer - Experiments Experiments that can be easily set up with the OptiXplorer include LC Display Characterization Set-up as Projection System Generation & Analysis of Dynamic Diffractive Structures Diffractive Optical Elements (DOE) Spatial Frequency Filtering Mach Zehnder Interferometer with Controllable Phase Shift

6 OptiXplorer - Experiments Projection set-up and display characterisation Usage of the modulator as a projection device Amplitude modulation caused by the changing polarisation state (dependency of the addressed gray level and the polarisation state) Optimisation of the contrast ratio Identification of display parameter like pixel size, length of molecule axis, phase shift

7 OptiXplorer - Experiments Generation and Analysis of dynamic diffractive Structures Usage of the modulator to create different diffractive structures, based on the phase modulation properties (e.g. Double Slit Experiments) Comparison of direct changes of complement diffractive structure Measurement of the diffraction efficiency of selected structures Superposition of diffraction patterns

8 OptiXplorer - Experiments Diffractive Optical Elements (DOEs) Dynamic implementation of optical elements with a spatial light modulator (phase holograms) Far field reconstruction ( Fraunhofer Diffraction) Functionality of computer generated holograms (superposition and effects on contrast and speckle)

9 OptiXplorer - Experiments Interferometer set-up with controllable phase shift Characterisation of phase shift properties of a liquid crystal device Phase shift created by the LC display: Dependent on the displayed gray level Dependent on the voltage applied to the liquid crystal Polariser Analyser Spatial filter SLM + Mask

10 OptiXplorer Tutorial and Manual The provided tutorial describes the effects, the components and the experiments in detail. The following sections are included: Introduction to the physics of LC displays Introduction to Fourier Optics and DOEs Suggested set-ups for investigation of several topics in the fields named above Instruction sets for sample experiments Manual of hardware components (LC 2002) Software manuals for application software and device control software

11 OptiXplorer - Components Main component of the OptiXplorer : active Spatial Light Modulator [aslm] based on a translucent LC-display SVGA-resolution of 800x600 pixels Transfer of image data and optical transmission functions to the LC Display VGA-interface Image frame rate of 60 Hz. The compact design enables a simple integration into optical systems.

12 OptiXplorer Control Software The included control software and the enable an easy installation and operation. This allows Plug & Play set-up of LC2002 modulator as an external monitor using a VGA port. Parameters that can be controlled by the control software: Contrast Brightness Geometry

13 OptiXplorer Application Software The OptiXplorer application software allows the calculation of various diffractive structures: Linear diffractive gratings (binary, sinusoidal, blazed) Slit and Aperture functions Fresnel zone lenses Diffractive pattern generators for user-defined signals The graylevels of the images representing the diffractive structures can be changed on-line. Problems from different fields like diffractive optics, interferometry and digital holography can be investigated experimentally.

14 OptiXplorer - LC Physics The Physics of Liquid Crystals : Due to electro-optical effects (variable birefringence and polarization rotation) in Liquid Crystal Displays (LCDs), they are capable of manipulating light with respect to polarization, amplitude, and phase. This enables the characterization of different physical parameters, such as: The measurement of amplitude modulation properties (contrast, linearity) The measurement of the state of polarization The determination of phase modulation and its dependence on the displays settings, wavelength, temperature, etc. The determination of LCD-parameters such as twist angle and molecular director.

15 OptiXplorer Fourier Optics The LC display as a dynamic phase modulator The voltage dependency of the refractive index allows the usage of the LC display as a dynamic diffractive element Fresnel Zone Lenses Diffractive Pattern generators Diffractive Beam Splitters Axicon For light sources in the visible spectral range, the phase modulation is 1.5π..2π.

16 OptiXplorer - Applications Mathematics & Physics in Theory and Experiment: Various correlations, transformations and principles can be illustrated and experimentally demonstrated with the OptiXplorer : Fourier transformation of different functions, e.g. aperture function, complex amplitude- and phase functions (Fraunhofer far field diffraction) Fresnel transformation (diffraction in the near field) Convolution rule and sampling theorem Grating equation and sinc function

17 OptiXplorer - Applications Display applications: In combination with polarizers all display technologies can be used for gray level illustration (amplitude modulation). Basic applications are: Dynamic gray filter (reducer) Band pass filter (aperture, wavelet filter) Dynamic amplitude mask Optical filtering (4f-System, optical correlator) Microscopic illumination of gray level masks Incoherent-coherent converter of image data

18 OptiXplorer - Applications Projection applications - One of the most successful applications of LCD- technology front projection devices (beamer) Head-up-Displays (automotive- and aviation industry) projection systems for optical measurement (3D- data recording) With the OptiXplorer projection systems can be realised using white light sources, LEDs, clocked colour-leds coherent light sources. The scaling of display illustration (microscopic, macroscopic) depends on the optics design of the system.

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