论文标题
希尔伯特（Hilbert
Restricted Hilbert transform for non-Hermitian management of fields
论文作者
论文摘要
利用收益和损失之间的协同作用的非热系统已成为发现新型物理现象的关注焦点。这种系统中的空间对称性破坏允许随意调整波传播。受这种属性的启发，我们提出了一种基于局部希尔伯特变换的可行方法，以控制两种或更高维的非速度系统中的场流，从而在实际限制内限制了复杂的折射率。我们提出了一个迭代程序，将复杂折射率参数空间的维度降低到两个，一个或零维度。所提出的方法为系统地设计有限的逼真材料收集的可实现的本地PT对称系统提供了一种灵活的方法。
Non-Hermitian systems exploiting the synergy between gain and loss have recently become the focus of interest to discover novel physical phenomena. The spatial symmetry breaking in such systems allows tailoring the wave propagation at will. Inspired by such property, we propose a feasible approach based on local Hilbert transform to control the field flows in two- or higher dimensional non-Hermitian systems, restricting the complex refractive index within practical limits. We propose an iterative procedure to reduce the dimensionality of complex refractive index parameter space to two, one or zero dimensions. The proposed method provides a flexible way to systematically design locally PT-symmetric systems realizable with a limited collection of realistic materials.
