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A new semi-analytical method for the analysis of tapered optical waveguides
Institution:1. School of Opto-Electronic Information Science and Technology, Yantai University, Yantai 264005, China;2. School of Science, Minzu University of China, Bejiing 100081, China;3. Optical Physics Lab., Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;1. Department of Physics, National Institute of Technology, Durgapur 713209, West Bengal, India;2. Department of Physics, M.U.C. Women''s College, Burdwan 713104, West Bengal, India;1. Gandhi Engineering College (GEC), Bhubaneswar, Odisha, India;2. Gandhi Institute For Technological Advancement (GITA), Bhubaneswar, Odisha, India;1. School of Electronic Information Engineering, Tianjin University, Tianjin 300072, China;2. School of Science, Tianjin University, Tianjin 300072, China;3. Institute of TV and Image Information, Tianjin University, Tianjin 300072, China
Abstract:Tapered waveguide are used in number of integrated optic devices such as directional couplers, modulators, switches mode converters, etc. Most of the methods analyzing tapered waveguide are numerical in nature. In this paper we present a simple, fast and accurate semi analytical method for z-varying waveguide. However, very few idealized structures can be analyzed directly. The present method consists of separating transverse and longitudinal variation in the wave equation, leading to a differential equation with z-varying coefficients for the field variation along z-axis. For the transverse variation local normal theory is applied. Now this equation is applied to specific taper geometries like linear down taper. Computational are done assuming typical values. We observe variation of power mode profile and mode width. Waveguide loss is also including in the analysis. Finally the analytical simulation results have been verified by the commercial Opti-BPM software.
Keywords:Tapered waveguide  Numerical integration  Mode field profile  Beam propagation method  Eigen value equation
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