SUSY设计的破缺PT对称光滤波器
SUSY designed broken PT-symmetric optical filters
摘要：
我们应用超对称达布变换的光学Helmoltz波动方程产生解析复值PT对称电位（物理上的梯度折射率介质）。然后，PT对称性自发地被破坏，从而控制折射率分布的虚部的振幅。因此，可检测到与S矩阵的奇异性相关的共振，这是散射光谱中非常高的透射和反射峰的原因。我们演示了如何控制共振，我们可以实现不同的放大率高达四个数量级的确切奇点。还可以获得全透射和非常高的反射。光谱的所有可见部分都可以通过扩大电势的空间宽度来跨越。所有这些潜力可以统一在一个单一的设备的能力，动态控制的折射率的虚部，从而定义一个可调动态光学滤波器作为一个完美的放大器，透明的障碍或高效率的镜子。
英文摘要：
We apply the supersymmetric Darboux transformation to the optical Helmoltz wave equation to generate analytically complex-valued PT-symmetric potentials (physically a graded refractive index dielectric). PT-symmetry is then spontaneously broken controlling the amplitude of the imaginary part of the refractive index distribution. Consequently a resonance is detectable which is related to a singularity of the S matrix, responsible for extraordinary high transmission and reflection peaks in the scattering spectra. We demonstrate how controlling the resonance we can achieve different amplification rates up to four order of magnitude at the exact singular point. Total transmission and very high reflection can be also obtained. All the visible portion of the spectrum can be spanned by enlarging the spatial width of the potential. All these potentials can be unified in a single device with the capability to dynamically control the imaginary part of the refractive index, thus defining a tunable dynamical optical filter behaving as a perfect amplifier, a transparent barrier or a high efficiency mirror.
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