基于一种优化的梳状布里渊增益谱实现对任意周期信号的零展宽快慢光

Zero-broadening slow and fast light using an optimized Brillouin comb gain for arbitrary periodic signals

在理论分析任意信号实现无畸变快慢光所需条件的基础上,根据周期信号的频谱特点,推导出一种优化的梳状布里渊增益谱的普适公式.利用该普适公式,可根据所需时间延迟或超前量,方便地得到周期信号每个离散频谱分量所对应的各离散布里渊增益谱的强度和增益谱峰值相对于频谱分量的偏移量,从而确定整个梳状布里渊增益谱的形状.通过对正弦信号、周期性高斯信号和周期性方波信号的数值计算,结果表明,利用该优化的梳状布里渊增益谱可实现这三种周期信号在零展宽下的快慢光,证实了所得普适公式的正确性.此外,通过调节各离散布里渊增益谱的强度和偏移量,时间延迟或超前量连续可调.

Based on the theoretical analysis of the conditions of the fast or slow light without distortion for arbitrary signal, a universal formula of an optimized Brillouin comb gain is obtained in accordance with the spectrum characteristics of the periodic signal. According to the amount of delay or advancement required, each Brillouin gain intensity and frequency detuning between Brillouin gain peak and the corresponding harmonic frequency of periodic signal can be found conveniently using this universal formula, then the whole Brillouin comb gain is identified. Numerical calculation for sinusoidal signal, Gaussian periodic signal and square periodic signal is performed. The results show that zero-broadening slow and fast light is achieved using this optimized Brillouin comb gain for the three types of periodic signals, and the validity of the universal formula is proved. Moreover, the magnitude of the delay or advancement can be tuned continuously by adjusting the Brillouin gain intensity and frequency detuning.