Concealment of Chaos Time Delay Signature in a Ring Network With Heterogeneous Delays Based on Nano-Lasers

In this paper, we numerically investigate the concealing properties of time delay signature (TDS) in the chaotic output of a ring network composed of three mutually coupled semiconductor nano-lasers, comparing the TDS evolution between a ring network with identical coupling delays and a ring network with heterogeneous coupling delays. In simulations, an autocorrelation function is introduced to assess the system's capability in concealing the TDS. By examining the impacts of system parameters such as coupling strength, frequency detuning, Purcell factor F , spontaneous radiation coupling factor beta , and bias current I on the concealment of TDS, we identify the parameter ranges that successfully conceal TDS. The findings indicate that, compared to ring networks featuring identical coupling delays, those with heterogeneous delays can conceal TDS over a broader parameter range. Additionally, F moderately and beta relatively small can expand the region of TDS concealment, while the influence of I on TDS is relatively negligible in the ring network with heterogeneous delays.