General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides
博士 === 國立中山大學 === 電機工程學系研究所 === 100 === In this thesis, we proposed general forms of eigen-mode analysis for multilayer optical waveguides. This study discussed the periodic structure in transverse direction and used the slowly varying envelope approximation to approximate the wave function. Firstly...
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ndltd-TW-100NSYS54420552015-10-13T21:17:53Z http://ndltd.ncl.edu.tw/handle/32538657642393698429 General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides 多層光波導特徵模態之通用表示式分析 Shih-yuan Chen 陳仕原 博士 國立中山大學 電機工程學系研究所 100 In this thesis, we proposed general forms of eigen-mode analysis for multilayer optical waveguides. This study discussed the periodic structure in transverse direction and used the slowly varying envelope approximation to approximate the wave function. Firstly, we presented a general method for analyzing the multilayer nonlinear optical waveguide structure by using modal theory. The nonlinear optical waveguide is a medium whose refractive index changes with the electric field intensity. The general method can also be degenerated into some other special cases for analyzing multilayer nonlinear optical waveguide. Secondly, a general method for analyzing the multilayer optical waveguides with photonic metamaterials characterized by simultaneously negative dielectric permittivity and magnetic permeability was studied. The research pointed out explicitly that the three-layer planar waveguide with photonic metamaterials could support forbidden regions. The complete set of modes of all possible solutions for the TE wave in photonic metamaterials optical waveguide was found. The transverse electric field distributions and dispersion relations in multilayer optical waveguides can be obtained by using these general forms. Finally, we used the general forms to design an all-optical mode converter which composed of a pair of multibranch optical waveguides. The analytical and numerical results show excellent agreement. Chih-Wen Kuo 郭志文 2012 學位論文 ; thesis 142 en_US |
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博士 === 國立中山大學 === 電機工程學系研究所 === 100 === In this thesis, we proposed general forms of eigen-mode analysis for multilayer optical waveguides. This study discussed the periodic structure in transverse direction and used the slowly varying envelope approximation to approximate the wave function. Firstly, we presented a general method for analyzing the multilayer nonlinear optical waveguide structure by using modal theory. The nonlinear optical waveguide is a medium whose refractive index changes with the electric field intensity. The general method can also be degenerated into some other special cases for analyzing multilayer nonlinear optical waveguide. Secondly, a general method for analyzing the multilayer optical waveguides with photonic metamaterials characterized by simultaneously negative dielectric permittivity and magnetic permeability was studied. The research pointed out explicitly that the three-layer planar waveguide with photonic metamaterials could support forbidden regions. The complete set of modes of all possible solutions for the TE wave in photonic metamaterials optical waveguide was found. The transverse electric field distributions and dispersion relations in multilayer optical waveguides can be obtained by using these general forms. Finally, we used the general forms to design an all-optical mode converter which composed of a pair of multibranch optical waveguides. The analytical and numerical results show excellent agreement.
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author2 |
Chih-Wen Kuo |
author_facet |
Chih-Wen Kuo Shih-yuan Chen 陳仕原 |
author |
Shih-yuan Chen 陳仕原 |
spellingShingle |
Shih-yuan Chen 陳仕原 General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides |
author_sort |
Shih-yuan Chen |
title |
General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides |
title_short |
General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides |
title_full |
General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides |
title_fullStr |
General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides |
title_full_unstemmed |
General Forms of Eigen-Mode Analysis for Multilayer Optical Waveguides |
title_sort |
general forms of eigen-mode analysis for multilayer optical waveguides |
publishDate |
2012 |
url |
http://ndltd.ncl.edu.tw/handle/32538657642393698429 |
work_keys_str_mv |
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1718060577199226880 |