Derivative free method for computing modes of multilayer planar waveguide
A technique to solve generalized dispersion equation of multilayer planar waveguide has been demonstrated to obtain all the expected guided modes. The solution is based on the derivative free method for computing the zeros of an analytical function in complex plane. The derivative free method extrac...
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| Vydané v: | Optical and quantum electronics Ročník 46; číslo 3; s. 423 - 438 |
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| Hlavní autori: | , |
| Médium: | Journal Article |
| Jazyk: | English |
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01.03.2014
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| ISSN: | 0306-8919, 1572-817X |
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| Abstract | A technique to solve generalized dispersion equation of multilayer planar waveguide has been demonstrated to obtain all the expected guided modes. The solution is based on the derivative free method for computing the zeros of an analytical function in complex plane. The derivative free method extracts the roots which are very close to actual zeros of the function. Roots are further refined using the robust iteration method to achieve the desired accuracy. Application of the proposed method has been verified by solving the modes of a variety of structures including lossless structure, leaky structure, quantum well waveguide, active waveguide, ARROW waveguide and metal clad waveguide. The method is efficient and computes all modes of planar waveguide with high accuracy. |
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| AbstractList | A technique to solve generalized dispersion equation of multilayer planar waveguide has been demonstrated to obtain all the expected guided modes. The solution is based on the derivative free method for computing the zeros of an analytical function in complex plane. The derivative free method extracts the roots which are very close to actual zeros of the function. Roots are further refined using the robust iteration method to achieve the desired accuracy. Application of the proposed method has been verified by solving the modes of a variety of structures including lossless structure, leaky structure, quantum well waveguide, active waveguide, ARROW waveguide and metal clad waveguide. The method is efficient and computes all modes of planar waveguide with high accuracy. |
| Author | Semwal, Girish Rastogi, Vipul |
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| Cites_doi | 10.1007/s00607-003-1473-5 10.1016/j.optcom.2004.01.037 10.1109/50.41607 10.1007/BF01395882 10.1364/JOSAB.19.001978 10.1109/50.166774 10.1016/j.cpc.2006.04.007 10.1090/S0025-5718-1967-0228165-4 10.1109/JLT.1987.1075553 10.1109/3.53377 10.1109/50.762914 10.1007/s006070050051 10.1016/S0377-0427(01)00371-5 10.1364/OE.7.000260 10.1364/JOSAA.2.000595 10.1364/JOSAA.1.000742 10.1007/s00340-008-3106-3 |
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| Keywords | Derivative free method Planar waveguide Modes of waveguide Argument principle method |
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| SubjectTerms | Characterization and Evaluation of Materials Computer Communication Networks Electrical Engineering Lasers Optical Devices Optics Photonics Physics Physics and Astronomy |
| Title | Derivative free method for computing modes of multilayer planar waveguide |
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