The non-Hermiticity is explored in parity-time–symmetric (PT–symmetric) dielectric multilayers abiding by Thue-Morse (T-M) sequence. The T-M sequence is aperiodic and an optical fractal phenomenon in transmission spectra arises as the sequence number increases, while in the space of reflection spectrum, exceptional points (EPs) are induced. By increasing the gain-loss factor of dielectrics, EPs split and then degenerate. The splitting EPs disturb the optical fractal states slightly, which approves asymmetric localization of electric fields. Furthermore, there are four ±π/2 jump points in the curve of forward and backward reflection coefficients phase (φ_rf+φ_rb)/2. The study paves a way towards the applications for wavelength sensors and phase modulators.

在遵循 Thue-Morse (TM) 序列的奇偶时间对称（PT 对称）介电多层中探索了非厄米性。TM序列是非周期性的，随着序列号的增加，透射光谱中会出现光学分形现象，而在反射光谱空间中，会产生异常点（EP）。通过增加电介质的增益损耗因子，EP 分裂然后退化。分裂的 EP 略微扰乱了光学分形状态，这证明了电场的不对称定位。此外，前向和后向反射系数相位( φ _rf +φ _rb )/2曲线中有四个±π/2 跳跃点。该研究为波长传感器和相位调制器的应用铺平了道路。