Divergence of Casimir stress in inhomogeneous media

Divergence of Casimir stress in inhomogeneous media
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非均匀介质中卡西米尔应力的发散

DOI:
10.1103/physreva.87.043806
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发表时间:
2013
期刊:
影响因子:
2.9
通讯作者:
U. Leonhardt
U. Leonhardt
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
W. M. Simpson;S. Horsley;U. Leonhardt

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我们研究的局部行为的正则化的应力张量通常用于计算的Casimir力的电介质在一个方向上不均匀。它表明,通常的应力张量的表达式是不有限的任何地方内的介质,无论时间色散或折射率分布,这种分歧是不太可能通过一个简单的修改,正则化过程中被删除。我们的分析参数示出了数值介质近似为一系列的均匀条,这些条的宽度取为零。这一发现适用于所有的磁介质。
We examine the local behavior of the regularized stress tensor commonly used in calculations of the Casimir force for a dielectric medium inhomogeneous in one direction. It is shown that the usual expression for the stress tensor is not finite anywhere within the medium, whatever the temporal dispersion or index profile, and that this divergence is unlikely to be removed through a simple modification to the regularization procedure. Our analytic argument is illustrated numerically for a medium approximated as a series of homogeneous strips, as the width of these strips is taken to zero. The findings hold for all magnetodielectric media.
DOI: 10.1103/physreva.85.034103
发表时间: 2012
期刊: Physical Review A
影响因子: 2.9
作者:
Goto S
通讯作者: Goto S