Self-imaging by a volume grating |
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| Authors: | Gustavo Forte Alberto Lencina Myrian Tebaldi Néstor Bolognini |
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| Institution: | 1. Centro de Investigaciones Ópticas, CIOp (CONICET La Plata-CIC), P.O. Box 3, 1897, M. B. Gonnet, Argentina;2. UID OPTIMO, Depto. Ciencias Básicas, Facultad de Ingeniería, Universidad Nacional de La Plata, La Plata, Argentina;3. Facultad de Ciencias Exactas, Universidad Nacional de La Plata, La Plata, Argentina;1. State Key Laboratory of Luminescence and Application, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of Sciences, Changchun 130033, China;2. University of Chinese Academy of Sciences, Beijing 100049, China;3. College of Physics Science and Technology, Yang Zhou University, Yang Zhou 225002, China;1. Computer Imaging and Medical Applications Laboratory – CIM&LAB, Universidad Nacional de Colombia, Bogotá, Colombia;2. Medical Image Analysis and Biometry Lab, Universidad Rey Juan Carlos, Móstoles, Madrid, Spain;1. Guangdong-Hong Kong-Macao Joint Laboratory for Intelligent Micro-Nano Optoelectronic Technology, Foshan University, Foshan 528000, China;2. School of Physics and Optoelectronic Engineering, Foshan University, Foshan 528000, China;3. Faculty of Information Technology, Macau University of Science and Technology, 519020, Macau;4. Guangdong Provincial Key Laboratory of Nanophotonic Functional Materials and Devices, South China Normal University, Guangzhou 510006, China;1. Dto. Ing. Informática, Instituto Tecnológico de Buenos Aires (ITBA), Lavardén 315, C. A. de Buenos Aires, Argentina;2. Dto. de Matemática, Instituto Tecnológico de Buenos Aires (ITBA), CONICET, Av. Madero 399, C. A. de Buenos Aires, Argentina;3. Dto. Ing. Electrónica, Facultad de Ingeniería, Universidad de Buenos Aires, Av. Paseo Colón 850, C. A. de Buenos Aires, Argentina;4. Dto. de Matemática, Facultad de Ingeniería, Universidad de Buenos Aires, Av. Paseo Colón 850, C. A. de Buenos Aires, Argentina;5. Instituto Argentino de Matemática “Alberto Calderón” CONICET, Saaverda 15, C. A. de Buenos Aires, Argentina;6. Dto. Ing. Informática, Instituto Tecnológico de Buenos Aires (ITBA), CONICET, Lavardén 315, C. A. de Buenos Aires, Argentina |
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| Abstract: | The self-image phenomenon by a volume grating is proposed and theoretically analyzed. A theoretical model based on a path integral formulation to describe wave propagation through the grating inhomogeneous medium is applied. A modified version of the scalar diffraction theory Fresnel propagator is obtained which allows calculating the diffracted field amplitude by the grating. The proposed model is applied to amplitude and/or phase volume gratings. Remarkable features appear, in particular at the fractional Talbot distance 0.125zT. In this case, if an in-phase real and imaginary grating modulation is considered a self-image intensity profile is observed for determined values of the absorptive and refractive parameters. On the other hand, a spatial comb intensity profile for a near half period shift between the real and imaginary grating modulations is found. |
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