| 平面介质波导折射率剖面重建的欠松弛迭代方法 |
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| 引用本文： | 葛德彪 Tami.,LS. 平面介质波导折射率剖面重建的欠松弛迭代方法[J]. 光子学报, 1996, 25(5): 439-445 |
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| 作者姓名： | 葛德彪 Tami. LS |
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| 作者单位： | 西安电子科技大学物理系 |
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| 摘 要： | 本文研究存在导(行)模时Gel'fand-Levitan-Marchenko方程的数值解法。由于反射系数在复数k平面正虚数轴上有极点,其特征函数中出现指数增长项,应用数值迭代求解到一定距离后便产生发散。为了克服这一困难,我们在迭代中采用了松弛方法,通过引入欠松弛因子延伸了势函数重建的有效距离。应用Schrodinger方程下的比例变换关系,逆散射所重建势函数可以直接用于介质波导折射率剖面设计。
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| 关 键 词： | 介质波导 逆散射 迭代方法 |
| 收稿时间： | 1995-03-30 |
PROEILE RECONSTRUCTION FOR PLANAR DIELECTRIC WAVEGUIDE BY USING UNDERRELAXED ITERATIVE METHOD |
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| Ge Debiao. PROEILE RECONSTRUCTION FOR PLANAR DIELECTRIC WAVEGUIDE BY USING UNDERRELAXED ITERATIVE METHOD[J]. Acta Photonica Sinica, 1996, 25(5): 439-445 |
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| Authors: | Ge Debiao |
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| Affiliation: | 1. Xidian University, Xi’an 710071 China;2. Eric Jonsson School of Engineering and Computer Science, Centerfor Applied Optics, University of Texas at Dallas, Richardson Tx 75080 USA;3. Remote Sensing Department, Naval Research Lab, Washington DC 20375 USA |
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| Abstract: | Thenumerical solution of Gel'fand-Levitan-Marchenkoequation for the presence of guidedmodes is studied in this paper.It is found that the solution by using iterative method undergoesdivergence beyond a certain distance because the characteristic function of reflection coefficient whichpossesses poles on the positive imaginary axes in complex k-plane contains exponentially growingterms.In order to overcome this difficuIty we resort to the relaxation technique.The reconstructiondistance is,therefore,efficiently extended by introducing an underrelaxation factor.The reconstructedpotential in inverse scattering can directly be applied to the profile design of dielectric planarwaveguide via the scaling transformation for Schrodinger equation. |
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| Keywords: | Dielectric waveguide Inverse scattering Iterative method |
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