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Numeric corrections to the proximity-force approximation for lateral Casimir forces

机译:横向Casimir力的接近力近似的数值校正

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We report a numeric investigation on the proximity-force approximation (PFA) for lateral Casimir forces between a sphere and a grating. Near-unity force correlations are found between the approximated force and the exact values, due to geometric effects. A minimal model yields a best-fit expression of the numeric correction to the PFA, for gratings in the dilute limit. Our results are not restricted to specific material of the sphere, and allows simple estimation of Casimir interactions for micro-scale spheres, and thus shall be useful in relevant experimental and engineering Casimir applications.
机译:我们报告了对球体和光栅之间的横向卡米米的接近力近似(PFA)的数值研究。 由于几何效果,在近似力和精确值之间找到近乎统一力相关性。 最小模型产生对PFA的数字校正的最佳表达,用于稀释极限的光栅。 我们的结果不限于球体的特定材料,并允许简单地估计微级球体的Casimir相互作用,因此应在相关的实验和工程西米尔应用中有用。

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