Abstract
The influence of complex lattices with PT-symmetry on dynamic localization (DL) in optics, particularly higher-order DL, has been examined in this study. We found an intriguing result: the order of DL is equal to the frequency of light passing through the first Brillouin zone's boundary during a half-period of DL oscillation. Additionally, the DL is still possible below the PT-symmetry breaking point, but beam power evolution differs from Bloch oscillation in PT-symmetry systems. Similar to damped vibration, the amplitude of beam power oscillation diminishes as propagation distance increases. The nonreciprocal beam propagation behavior is also found at the PT-symmetry breaking point, which is comparable to the optical Bloch oscillation in the PT-symmetry system.
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