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Optical Hilbert transform using polarization filters
Affiliation:1. Data Mining Laboratory, Department of Engineering, College of Farabi, University of Tehran, Tehran, Iran;2. Department of Quantitative Health Sciences, Cleveland Cancer Foundation, Cleveland, OH, United States;1. Key Laboratory of Ministry of Education on Safe Mining of Deep Metal Mines, Northeastern University, Shenyang 110819, China;2. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, Hubei, China;1. Univ. Lille, CNRS, Centrale Lille, UMR 9189 – CRIStAL – Centre de Recherche en Informatique Signal et Automatique de Lille, 59000 Lille, France;2. CNRS/GIPSA-Lab, 11 Rue des mathématiques, Domaine Universitaire, BP 46, 38402 Saint Martin d''Hères cedex, France;1. Department of Physics and Photon Science, Gwangju Institute of Science and Technology, Gwangju 61005, Republic of Korea;2. Pohang Accelerator Laboratory (PAL), Gyeongbuk 37673, Republic of Korea;1. Southwest University of Science and Technology, Fundamental Science on Nuclear Wastes and Environmental Safety Laboratory, Mianyang 621010, China;2. Chengdu University of Technology, State Key Laboratory of Geohazard Prevention & Geoenvironmental Protection, Chengdu 610059, China
Abstract:Using a combination of linear polarization filters, a new method to generate the optical Hilbert transform (OHT) is described. Linear polarizers, acting as knife-edge filters in the spatial frequency plane and together with an image plane analyzer, can produce at the output, the input signal, its analytical function and its OHT. Both one and two dimensional, also angularly anisotropic and isotropic, OHTs are discussed. With a white light source, this method also produces a white light HT (WHT).
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