提出基于双光反馈下垂直腔面发射激光器(VCSELs)输出的正交偏振分量混沌振荡来同时获取两路物理随机数(PRN)的方案,数值分析了不同反馈强度下所获取的最终比特序列的随机性能。研究结果表明,通过选择合适的反馈参量可使VCSELs中两个偏振分量均呈现混沌振荡;其输出的两路混沌信号作为熵源,经8位模数转换器(ADC)量化、比特序列按位反转、异或(XOR)运算和m bit最低有效位(m-LSBs)截取等后续处理后可得到最终比特序列;采用美国国家标准技术研究所(NIST)提供的NIST special publication 800-22统计测试套件对基于不同反馈强度下所产生的混沌信号熵源所获取的最终比特序列的性能进行测试,初步确定了获取可通过NIST speical publication 800-22统计测试的两路随机数所需的反馈强度的范围。
We propose an acquisition method of two-channel physical random number(PRN)sequences based on the chaotic oscillation of two orthogonally polarized modes in a vertical-cavity surface-emitting laser(VCSEL)with double optical feedback,and the randomness of the final bit sequences acquired at different feedback strengths is simulated and analyzed.The results show that by selecting suitable feedback strength,both two polarized modes in a VCSEL may be driven into chaotic oscillation simultaneously and then can be taken as chaotic entropy sources to obtain PRN.Next,the two entropy sources are sampled by an 8-bit analog-to-digital converter(ADC).As a result,the bit-order-reversed method,the bitwise exclusive-OR(XOR)operation and mleast significant bits(m-LSBs)selection are further used in the post-processing of bit sequences to obtain two final bit sequences.Finally,the randomness of two final bit sequences is tested by NIST SP 800-22 statistical test suite,and the regions of the feedback strengths which lead to perfect test results are primarily determined.