Application of group theory in transfer matrix technique for band structure calculation in 1D photonic crystal

机译：群论在传递矩阵技术中一维光子晶体能带结构计算中的应用

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In this paper, transfer matrix technique for computing the band structure and transmittance of one dimensional photonic crystal is analyzed using group theoretical approach and a novel algorithm is developed for the purpose to reduce the time for computation. The advantage of this algorithm is that it bypasses the implicit N times matrix multiplication that is performed by a digital computer when calculating the band structure of periodic dielectric structures consisting of N cells when N is moderately large. The formulation indicates that the simplified algorithm can significantly ease the numerical burden and reduce the requirement on computer memory space.

机译：本文采用群论的方法，对计算一维光子晶体的能带结构和透射率的传递矩阵技术进行了分析，并提出了一种新的算法，以减少计算时间。该算法的优点是，当N适度大时，当计算由N个单元组成的周期性介电结构的能带结构时，它会绕过由数字计算机执行的隐式N倍矩阵乘法。公式表明简化算法可以大大减轻数值负担，减少对计算机存储空间的需求。

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来源
《IEEE International Conference on Computer, Communication and Control》|2015年|1-5|共5页
会议地点 Indore(IN)
作者
Sourangsu Banerji; Arpan Deyasi;
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作者单位

Cognizant Technol. Solutions, Kolkata, India;

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会议组织
原文格式 PDF
正文语种 eng
中图分类
关键词
Band structure; Matrix group; Photonic crystal; Symmetric group; Transfer matrix method;

机译：带结构矩阵群光子晶体对称群转移矩阵法;

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1. Linearization techniques for band structure calculations in absorbing photonic crystals [J] . Effenberger C., Kressner D., Engstr?m C. International Journal for Numerical Methods in Engineering . 2012,第2期

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2. Photonic bandgap analysis in 1D porous silicon photonic crystals using transfer matrix method [J] . Optoelectronics and Advanced Materials-Rapid Communications . 2007,第2007期

机译：一维多孔硅光子晶体中的能带隙分析
3. Differential transfer matrix method for photonic band structure of one dimensional non-uniform distribution plasma photonic crystal [J] . Bin G., Xiao-Ming Q. Optik: Zeitschrift fur Licht- und Elektronenoptik: = Journal for Light-and Electronoptic . 2012,第15期

机译：一维非均匀分布等离子体光子晶体光子能带结构的微分转移矩阵方法
4. Application of Group Theory in Transfer Matrix Technique for Band Structure Calculation in 1D Photonic Crystal [C] . Sourangsu Banerji, Arpan Deyasi International Conference on Computer, Communication and Control . 2015

机译：组理论在1D光子晶体中传输矩阵技术的应用
5. Photonic band structure calculations for two-dimensional and three-dimensional photonic crystals. [D] . Morton, Aaron Vincent. 2002

机译：二维和三维光子晶体的光子能带结构计算。
6. Effective Parameters for 1D Photonic Crystals with Isotropic and Anisotropic Magnetic Inclusions: Coherent Wave Homogenization Theory [O] . J. Flores Méndez, A. C. Piñón Reyes, M. Moreno Moreno, 2020

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7. Linearization techniques for band structure calculations in absorbing photonic crystals [O] . C. Effenberger, D. Kressner, C. Engström 2011

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8. Study of Electromagnetic Wave Propagation in Photonic Crystals via Planewave Based Transfer (Scattering) Matrix Method with Active Gain Material Applications; Doctoral thesis [R] . Li, M., Ho, K. M., Tuttle, G., 2007

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Application of group theory in transfer matrix technique for band structure calculation in 1D photonic crystal

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