Going beyond PFA: A precise formula for the sphere-plate Casimir force
Going beyond PFA: A precise formula for the sphere-plate Casimir force
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超越 PFA：球板卡西米尔力的精确公式
DOI：
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发表时间：
2017
期刊：
影响因子：
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通讯作者：
G. Bimonte
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文献类型：
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作者：
G. Bimonte
电磁场在介质中的量子涨落在两个被放电的宏观可极化物体周围感应出两个物体之间的力，即所谓的卡西米尔力。在过去的二十年里，许多实验已经准确地测量了这种力，并做出了重大努力来利用它来驱动微型和纳米机器。Casimir力的多体特性使得它在非平面几何中的计算非常困难，比如标准的实验球板结构。本文导出了球板Casimir力的近似半解析公式，它既易于数值计算，又在任何距离上都非常精确。通过与完全收敛的精确散射公式的比较，我们表明，近似公式所造成的误差确实比目前和可预见的Casimir实验的不确定性小得多。
Quantum fluctuations of the electromagnetic field in the medium surrounding two discharged macroscopic polarizable bodies induce a force between the two bodies, the so-called Casimir force. In the last two decades many experiments have accurately measured this force, and significant efforts are made to harness it in the actuation of micro- and nano-machines. The inherent many-body character of the Casimir force makes its computation very difficult in non-planar geometries, like the standard experimental sphere-plate configuration. Here we derive an approximate semi-analytic formula for the sphere-plate Casimir force, which is both easy to compute numerically and very accurate at all distances. By a comparison with the fully converged exact scattering formula, we show that the error made by the approximate formula is indeed much smaller than the uncertainty of present and foreseeable Casimir experiments.