论文标题
$ \ MATHCAL {PT} $ - 对称光学结构的折射率配置文件
Refractive index profiles for a $\mathcal{PT}$-symmetric optical structure
论文作者
论文摘要
通过将标量Helmholtz方程(SHA)映射到Schrodinger形式中,我们研究了$ \ Mathcal {pt} $光学结构的行为,当折射率分布$ n $仅在纵向方向上允许变化。用超电势来解释Schrodinger方程式,我们确定了$ n $的超对称合作伙伴。我们还获得了折射率概况的新分析解决方案,并为其提供图形插图。
By mapping the scalar Helmholtz equation (SHE) to the Schrodinger form we investigate the behaviour of $\mathcal{PT}$ optical structure when the refractive index distribution $n$ admits variation in the longitudinal direction only. Interpreting the Schrodinger equation in terms of a superpotential we determine the supersymmetric partners for $n$. We also obtain new analytical solutions for the refractive index profiles and provide graphical illustrations for them.