Refraction and geometry in Maxwell's equations
Refraction and geometry in Maxwell's equations
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DOI：
10.1080/09500349608232782
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发表时间：
1996-04-01
影响因子：
1.3
通讯作者：
Pendry, JB
中科院分区：
文献类型：
--
作者：
Ward, AJ;Pendry, JB
在光子能带结构计算中遇到的复杂几何结构中的麦克斯韦方程的计算研究在几个长度尺度出现时遇到困难，例如自由空间中的光的波长和金属中的趋肤深度。这些问题通过使用自适应坐标系统来解决，该坐标系统根据需要扩展或收缩长度尺度。在这里，我们表明，移动到一个一般的坐标变换是等价于重新正规化的μ和μ。这是一个巨大的简化，因为现在我们只需要在笛卡尔坐标系中编写一个计算机代码，并且我们可以使用相同的代码来处理任何坐标系，通过调整我们输入计算的μ和μ。
Computational studies of Maxwell's equations in complex geometries encountered in photonic band structure calculations run into difficulties when several length scales occur, such as the wavelength of light in free space and the skin depth in metal. These problems are remedied by using an adaptive co-ordinate system which expands or contracts length scales as necessary. Here we show that moving to a general co-ordinate transformation is equivalent to renormalizing epsilon and mu. This is an huge simplification because now we need only write one computer code in a Cartesian system, and we can use this same code to handle any co-ordinate system by adjusting the epsilon and mu we feed into the calculation.