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The refractive index distribution of even polygonal selfoc lens
Authors:Zigang Zhou  Li Zhu  Yongjia Yang  Guangchun Sun  Qiang Wang
Affiliation:1. Technology of Communication Laboratory (LTC), University of Tahar Moula, Saida, Algeria;2. University of Tunis El Manar, National Engineering School of Tunis, Communications Systems Laboratory (Syscom), BP 37, Le Bélvédère, 1002 Tunis, Tunisia;3. School of Computer and Communication Engineering, University Malaysia Perlis (UniMAP), 02000 Kuala Perlis, Perlis, Malaysia;1. State Key Laboratory of Laser Interaction with Matter, Changchun Institute of Optics, Fine Mechanics and Physics, Chinese Academy of science, Changchun 130000, China;2. University of Chinese Academy of Science, Beijing 100049, China;1. Key Laboratory of Enhance Oil and Gas Recovery of Educational Ministry, Northeast Petroleum University, Daqing, PR China;2. Transportation and Storage and Marketing Subsidiary Company of Daqing Oil Field, Daqing, PR China
Abstract:MATLAB diffusion partial differential toolboxes are used to solve the ion diffusion equation under even polygonal boundary conditions, such as square and hexagon, and obtain the dynamic process ion concentration during ion exchange. The exact solutions of the refractive index distribution are proved by the correctness. The ion concentration equation in even polygonal glass rod is calculated by the variable separation and coordinate transformation method. The computation results are in good agreement with the measured ones in the compound eye system.
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