Casimir forces in the time domain: Theory
Casimir forces in the time domain: Theory
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DOI：
10.1103/physreva.80.012115
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发表时间：
2009-04
期刊：
影响因子：
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通讯作者：
Alejandro W. Rodriguez;A. McCauley;J. Joannopoulos;Steven G. Johnson
中科院分区：
文献类型：
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作者：
Alejandro W. Rodriguez;A. McCauley;J. Joannopoulos;Steven G. Johnson
提出了一种基于时域有限差分（FDTD）格式计算任意几何形状和任意材料的卡西米尔力的方法。该方法涉及电场和磁场响应于一组电流源的时间演变，在具有频率无关电导率的改进介质中。这种方法的优点是它允许一个人利用现有的FDTD软件，不需要修改，来计算卡西米尔力。在本文中，我们重点讨论了时域算法的推导、实现选择和基本性质，并在最简单的平行板几何中进行了分析和说明。
We present a method to compute Casimir forces in arbitrary geometries and for arbitrary materials based on the finite-difference time-domain (FDTD) scheme. The method involves the time evolution of electric and magnetic fields in response to a set of current sources, in a modified medium with frequency-independent conductivity. The advantage of this approach is that it allows one to exploit existing FDTD software, without modification, to compute Casimir forces. In this paper, we focus on the derivation, implementation choices, and essential properties of the time-domain algorithm, both considered analytically and illustrated in the simplest parallel-plate geometry.