arXivDaily arXiv每日学术速递 周一至周五更新
arXiv周末暂无论文更新,休息一下吧,周末愉快~~
arXiv 0904.0267quant-ph
收藏

Casimir力在时域中的应用:I.理论

Casimir forces in the time domain: I. Theory

Alejandro W. Rodriguez, Alexander P. McCauley, John D. Joannopoulos, Steven G. Johnson

摘要:

我们介绍了一种方法来计算Casimir力在任意几何形状和任意材料的基础上的时域有限差分(FDTD)计划。该方法涉及的时间演化的电场和磁场响应于一组电流源,在一个修改的介质与频率无关的电导率。这种方法的优点是,它允许利用现有的FDTD软件,无需修改,计算Casimir力。在这份手稿,第一部分,我们专注于推导,实施的选择,和基本属性的时域算法,考虑分析和说明在最简单的平行板几何。第二部分介绍了更复杂的二维和三维几何形状的结果。

英文摘要:

We introduce 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 manuscript, part I, we focus on the derivation, implementation choices, and essential properties of the time-domain algorithm, considered both analytically and illustrated in the simplest parallel-plate geometry. Part II presents results for more complex two- and three-dimensional geometries.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑