A simple scheme for generating chaotic signals with concealed time-delay signature (TDS) is proposed and experimentally demonstrated. The architecture of the system is based on a semiconductor laser (SL) under multi-path optical feedback (MPOF) provided by a 2 × 2 fiber coupler (FC) and a fiber mirror (FM). The results show that SLs with MPOF are more beneficial for achieving TDS suppressed chaotic output than those with single optical feedback (SOF) systems. In addition, the TDS of the chaotic signal generated by the SL under MPOF is insensitive to the length deviation of the feedback cavities, and therefore such a scheme is convenient for practical application. Furthermore, the influence of FC coupling ratio in the MPOF module, feedback strength, and bias current of the SL on the TDS is comprehensively studied. By selecting suitable parameters, the TDS of the chaotic signal generated by the SL under MPOF can be completely concealed. Finally, permutation entropy (PE) is adopted to evaluate the complexity of the generated chaotic signal, and the result demonstrates that the suppression of TDS does not lead to the degradation of complexity for the proposed scheme.
Index Terms-Chaos, multi-path optical feedback (MPOF), semiconductor laser (SL), time-delay signature (TDS).
I. INTRODUCTIONO PTICAL chaotic sources based on semiconductor lasers (SLs) under various external perturbations such as optical feedback [1]-[7], optical injection [8]- [11], and optoelectronic feedback [12], have received great attention because of their important applications in secure communication [13], random bits generation [14], [15], optical sensors [16], range radar [17], etc. Among these chaotic sources, external cavity semiconductor lasers (ECSLs) attract extra concern because of their abundant dynamic characteristics and compatibility with optical communication systems [18]. However, the chaotic signal from an Manuscript