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Determination of Field Configuration and Eigenvalues of Planar Optical Waveguides with Arbitrary Index Profiles |
ZHU Hai-Dong;DING Yuan;CAO Zhuang-Qi;SHEN Qi-Shun |
Department of Physics, Shanghai Jiao Tong University, Shanghai 200240 |
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Cite this article: |
ZHU Hai-Dong, DING Yuan, CAO Zhuang-Qi et al 2005 Chin. Phys. Lett. 22 1580-1583 |
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Abstract We extend the analytic transfer matrix (ATM) method to solve the field configuration of planar optical waveguides with arbitrary index profiles including several turning points. The results are compared with the predictions obtained from the finite element method and the Wentzel--Kramer--Brillouin approximation technique. It is shown that the ATM method not only can produce accurate eigenvalues, but also reach correct and meaningful field configuration for any type of optical planar waveguides.
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Keywords:
03.65.Sq
03.65.Ge
42.82.Et
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Published: 01 July 2005
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PACS: |
03.65.Sq
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(Semiclassical theories and applications)
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03.65.Ge
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(Solutions of wave equations: bound states)
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42.82.Et
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(Waveguides, couplers, and arrays)
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