Analysis and Calculations of Forbidden Regions for Transverse-Electric-Guided Waves in the Three-Layer Planar Waveguide with Photonic Metamaterial |
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| Authors: | Chih-Wen Kuo Shih-Yuan Chen Yaw-Dong Wu Mao-Hsiung Chen Chih-Fu Chang |
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| Affiliation: | 1. Department of Electrical Engineering , National Sun Yat-Sen University , Kaohsiung, Taiwan, R.O.C.;2. Department of Electronic Engineering , National Kaohsiung University of Applied Sciences , Kaohsiung, Taiwan, R.O.C. |
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| Abstract: | Abstract In this article, the modal theory was used to analyze transverse electric waves in the three-layer planar waveguide with photonic metamaterial. The formulas for the electric fields of transverse electric modes in this structure have been proposed. There always exist two forbidden regions for transverse electric waves in the three-layer planar waveguide with photonic metamaterial. The complete set of modes of all possible solutions for the transverse electric waves in the three-layer planar waveguide with photonic metamaterial had been analyzed and discussed. Similar processes can be extensively used to predict the propagation characteristics of TM waves in the three-layer planar waveguide with photonic metamaterial. The analytical and numerical results show excellent agreement. |
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| Keywords: | metamaterial optical propagation optical waveguide theory |
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