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A program for calculating photonic band structures, Green's functions and transmission/reflection coefficients using a non-orthogonal FDTD method

机译:一种使用非正交FDTD方法计算光子能带结构,格林函数和透射/反射系数的程序

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In this paper we present an updated version of our ONYX program for calculating photonic band structures using a non-orthogonal finite difference time domain method. This new version employs the same transparent formalism as the first version with the same capabilities for calculating protonic band structures or causal Green's functions but also includes extra subroutines for the calculation of transmission and reflection coefficients. Both the electric and magnetic fields are placed onto a discrete lattice by approximating the spacial and temporal derivatives with finite differences. This results in discrete versions of Maxwell's equations which can be used to integrate the fields forwards in time. The time required for a calculation using this method scales linearly with the number of real space points used in the discretization so the technique is ideally suited to handling systems with large and complicated unit cells.
机译:在本文中,我们介绍了使用非正交有限差分时域方法计算光子带结构的ONYX程序的更新版本。这个新版本采用与第一个版本相同的透明形式,具有相同的计算质子能带结构或因果格林函数的功能,但还包括用于计算透射系数和反射系数的额外子例程。通过近似有限差分的空间和时间导数,将电场和磁场都放置在离散晶格上。这样就产生了麦克斯韦方程的离散形式,可以用来对时间上向前的场进行积分。使用此方法进行计算所需的时间与离散化中使用的实际空间点的数量成线性比例,因此该技术非常适合处理具有大而复杂的晶胞的系统。

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