On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices

Peter Arbenz; Oscar Chinellato

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On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices

机译：解决轴对称VCSEL器件设计中出现的复对称特征值问题

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We investigate the Jacobi-Davidson algorithm for solving the time-harmonic Maxwell equation in axisymmetric vertical cavity surface emitting lasers (VCSELs). We compare various strategies in the extraction and extension phase of the algorithm and discuss their properties with complex-symmetric eigenvalue problems obtained from PML encoated resonator cavities.

机译：我们研究了Jacobi-Davidson算法，用于求解轴对称垂直腔面发射激光器（VCSEL）中的时谐Maxwell方程。我们在算法的提取和扩展阶段比较了各种策略，并讨论了它们的特性以及从PML涂层谐振腔获得的复对称特征值问题。

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《Applied numerical mathematics》 |2008年第4期|381-394|共14页
作者
Peter Arbenz; Oscar Chinellato;
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收录信息美国《科学引文索引》(SCI);美国《工程索引》(EI);
原文格式 PDF
正文语种 eng
中图分类
关键词
maxwell equation; PML; complex-symmetric eigenvalue problem; jacobi-davidson; preconditioning;

机译：麦克斯韦方程PML;复对称特征值问题雅各比·戴维森预处理;

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1. An iterative method for solving complex-symmetric systems arising in electrical power modeling [J] . Howle VE, Vavasis SA SIAM Journal on Matrix Analysis and Applications . 2005,第4期

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2. Industrial design of axisymmetrical devices using a customized FDTD solver from RF to optical frequency bands [Application Notes] [J] . Celuch M., Gwarek W. IEEE microwave magazine . 2008,第6期

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3. On the solution of generalized non-linear complex-symmetric eigenvalue problems [J] . Dumont NA International Journal for Numerical Methods in Engineering . 2007,第13期

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On solving complex-symmetric eigenvalue problems arising in the design of axisymmetric VCSEL devices

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