Experimental and theoretical investigation of the lateral Casimir force between corrugated surfaces
Experimental and theoretical investigation of the lateral Casimir force between corrugated surfaces
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波纹表面之间横向卡西米尔力的实验和理论研究
DOI：
10.1103/physreva.66.032113
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发表时间：
2002
影响因子：
2.9
通讯作者：
V. Mostepanenko
中科院分区：
文献类型：
--
作者：
F. Chen;U. Mohideen;G. L. Klimchitskaya;V. Mostepanenko
计算并测量了正弦波纹金板与球体之间的横向Casimir力。实验装置是基于原子力显微镜特别适用于横向卡西米尔力的测量。所测量的力作为两个波纹之间的相位差的函数正弦地振荡。分析了系统误差和随机误差，并在221 nm的分离距离处测量了3.2\ifmmode\times\else\texttimes\fi {}{10}^{\ensuremath{-}13}\mathrm{N}$的横向力振幅，在95%的置信概率下产生的相对误差为24%。研究了测得的侧向力振幅对分离的依赖性，并表明与逆四次方距离依赖性一致。给出了横向Casimir力的完整理论，包括有限电导率和粗糙度修正。得到的理论依赖性进行了分析，作为一个功能的表面分离，振幅，相位差，和金属等离子体波长。理论与实验数据进行了比较，并显示出良好的一致性。根据横向Casimir力的测量结果，计算了对假设的Yukawa型相互作用的约束。讨论了横向真空力在纳米技术中的可能应用。
The lateral Casimir force acting between a sinusoidally corrugated gold plate and sphere was calculated and measured. The experimental setup was based on the atomic force microscope specially adapted for the measurement of the lateral Casimir force. The measured force oscillates sinusoidally as a function of the phase difference between the two corrugations. Both systematic and random errors are analyzed and a lateral force amplitude of $3.2\ifmmode\times\else\texttimes\fi{}{10}^{\ensuremath{-}13}\mathrm{N}$ was measured at a separation distance of 221 nm with a resulting relative error 24% at a 95% confidence probability. The dependence of the measured lateral force amplitude on separation was investigated and shown to be consistent with the inverse fourth power distance dependence. The complete theory of the lateral Casimir force is presented including finite conductivity and roughness corrections. The obtained theoretical dependence was analyzed as a function of surface separation, corrugation amplitudes, phase difference, and plasma wavelength of a metal. The theory was compared with the experimental data and shown to be in good agreement. The constraints on hypothetical Yukawa-type interactions following from the measurements of the lateral Casimir force are calculated. The possible applications of the lateral vacuum forces to nanotechnology are discussed.