Applicatioo of Pade Approximation in Simulating Photonic Crystals
Padé近似在光子晶体模拟中的应用
查看参考文献13篇
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文摘
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To save finite-difference time-domain(FDTD) computing time, several methods are proposed to convert the time domain FDTD output into frequency domain. The Padé approximation with Baker's algorithm and the program are introduced to simulate photonic crystal structures. For a simple pole system with frequency 160THz and quality factor of 5000,the intensity spectrum obtained by the Padé approximation from a 28-item sequence output is more exact than that obtained by fast Fourier transformation from a 220-item sequence output. The mode frequencies and quality factors are calculated at different wave vectors for the photonic crystal slab from a much shorter FDTD output than that required by the FFT method,and then the band diagrams are obatined. In addition,mode frequencies and Q-factors are calculated for photonic crystal microcavity. |
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其他语种文摘
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为了节省时域有限差分(FDTD)法的计算时间,提出了许多将FDTD的时域结果转换到频域的方法.文中介绍了一种基于Baker算法的Pade近似,并展示了其在光子晶体模拟中的应用.对频率为160THz,品质因子为5000的简单谐振子,结果显示Padé近似用28时间步数据得到的强度谱比快速傅里叶变换用220时间步数据得到的强度谱更精确.采用这一Padé近似,光子晶体平板结构中不同波矢对应的模式频率和品质因子及其能带结构可以在很短的FDTD输出结果下得出.另外,Padé近似也用于计算光子晶体微腔的模式频率和品质因子. |
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来源
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半导体学报
,2005,26(7):1281-1286 【核心库】
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关键词
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optical waveguides
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photonic bandgap
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photonic crystal
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microcavity
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finite-difference time-domain
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地址
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Institute of Semiconductors,Chinese Academy of Sciences, State Key Laboratory on Integrated Optoelectronics, Beijing, 100083
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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0253-4177 |
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学科
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电子技术、通信技术 |
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基金
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国家自然科学基金国家杰出青年科学基金
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国家高技术研究发展计划
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文献收藏号
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CSCD:2091960
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参考文献 共
13
共1页
|
|
1.
Taflove A. the finite-difference time-domain method.
Computational electrodynamics: the finite-difference time-domain method,1995
|
被引
21
次
|
|
|
|
|
2.
Li B J. Numerical analysis of the whispering gallery modes by the finite-difference time-domain method.
IEEE J Quantum Electron,1996,32:1583
|
被引
4
次
|
|
|
|
|
3.
Hagness S C. design and experimental realization of waveguidecoupled single mode ring and whispering-gallery-mode disk resonators.
IEEE J Lightwave Technol,1997,15:2154
|
被引
15
次
|
|
|
|
|
4.
Huang Y Z. Analysis and numerical simulation of eigenmode characteristics for semiconductor lasers with an equilateral triangle micro-resonator.
IEEE J Quantum Electron,2001,37:100
|
被引
7
次
|
|
|
|
|
5.
Ochiai T. Dispersion relation and optical transmittance of a hexagonal photonic crystal slab.
Phys Rev B,2001,63:125107
|
被引
8
次
|
|
|
|
|
6.
Chen Q. Modulation of Photonic Bandgap and Localized States by Dielectric Constant Contrast and Filling Factor in Photonic Crystals.
Chinese Journal of Semiconductors,2003,24(12):1233
|
被引
3
次
|
|
|
|
|
7.
庄飞. 二维正方各向异性碲圆柱光子晶体完全禁带中缺陷模的FDTD计算分析和设计.
物理学报,2002,51(9):2167
|
被引
12
次
|
|
|
|
|
8.
Ko W L. A combination of FDTD and Prony's methods for analyzing microwave integrated circuits.
IEEE Trans Microw Theory Tech,1991,39:2176
|
被引
2
次
|
|
|
|
|
9.
Ritter J. Efficient FDTD/matrix-pencil method for the full-wave scattering parameter analysis of waveguiding structures.
IEEE Trans Microw Theory Tech,1996,44:2450
|
被引
3
次
|
|
|
|
|
10.
Dey S. Efficient computation of resonant frequencies and quality factors of cavities via a combination of the finitedifference time-domain technique and Pade approximation.
IEEE Microw Guided Wave Lett,1998,8:415
|
被引
8
次
|
|
|
|
|
11.
Baker G A. The Pade approximant in theoretical physics.
The Pade approximant in theoretical physic,1970
|
被引
1
次
|
|
|
|
|
12.
Guo W H. Computation of resonant frequencies and quality factors of cavities by FDTD technique and Pade approximation.
IEEE Microwave Wireless Comp Lett,2001,11:223
|
被引
26
次
|
|
|
|
|
13.
Berenger J P. A perfectly matched layer for the absorption of electromagnetic waves.
J Comput Phys,1994,114:185
|
被引
681
次
|
|
|
|
|
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