论文标题
局部有限的自由空间，作为PT对称介质的限制案例
Locally finite free space as limiting case of PT-symmetric medium
论文作者
论文摘要
我们明确地证明，有限分层$ pt $ -smmetric的固定长度$ l $的传输矩阵由$ n $ l $组成，该系统由$ n $单位的潜在系统'$+iv $'和``$+iv $''和`$ iv $''和`$ iv $''和`$ iv $''和`$ -iv $'''和`$ iv $'''和'$ -IV $'成为一个单位矩阵，在极限$ n \ rightarrow \ rightarrow \ firstarrow \ frty \ iffty。对于任意波矢量$ k $的浪潮，此结果是正确的。这表明，在此限制下，传输系数始终是统一性的，而横穿此长度$ l $的所有波的反射幅度为零。因此，有限长度$ l $的自由空间可以表示为$ pt $ symmetric介质。
We explicitly prove that the transfer matrix of a finite layered $PT$-symmetric system of fix length $L$ consisting of $N$ units of the potential system `$+iV$' and `$-iV$' of equal thickness becomes a unit matrix in the limit $N \rightarrow \infty$. This result is true for waves of arbitrary wave vector $k$. This shows that in this limit, the transmission coefficient is always unity while the reflection amplitude is zero for all waves traversing this length $L$. Therefore, a free space of finite length $L$ can be represented as a $PT$-symmetric medium.
