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arXiv 0909.0510math-phmath.MP
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一种用于产生具有所需折射系数的材料的方法,

A method for creating materials with a desired refraction coefficient

A. G. Ramm

摘要:

提出了在有界区域$D\subset \R^3$中通过在给定的材料中嵌入多个具有恒定折射系数的小球来创建具有所需折射系数的材料。每个点$x\in D$周围每单位体积的小球数量,即,计算了它们的密度分布,以及这些球中的恒定折射系数。根据计算的密度分布将具有这些折射系数的小球嵌入$D$中,在$D$中产生具有期望折射系数的材料。

英文摘要:

It is proposed to create materials with a desired refraction coefficient in a bounded domain $D\subset \R^3$ by embedding many small balls with constant refraction coefficients into a given material. The number of small balls per unit volume around every point $x\in D$, i.e., their density distribution, is calculated, as well as the constant refraction coefficients in these balls. Embedding into $D$ small balls with these refraction coefficients according to the calculated density distribution creates in $D$ a material with a desired refraction coefficient.

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。

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