2017/12/29 by Jyoti Prasad Deka, Deka, Jyoti Prasad, Amarendra K. Sarma +1
Engineering · Physics and Astronomy · #Chaotic Dynamics (nlin.CD) #FOS: Physical sciences #Mechanical and Optical Resonators #Optics (physics.optics) #Photonic and Optical Devices #Quantum Mechanics and Non-Hermitian Physics
paper · pdf · doi:10.48550/arxiv.1712.10196
openalex publication_date 2017/12/29 · openalex created_date 2022/09/29 · openalex updated_date 2026/07/28
We report emergence of saturation and chaotic spiking of optical power in a\ndouble ring resonator with balanced loss and gain, obeying the so-called\nparity-time symmetry. We have modeled the system using a discrete-time\niterative equation known as the Ikeda Map. In the linear regime, evolution of\noptical power in the system shows power saturation behavior below the PT\nthreshold and exponential blow-up above the PT threshold. We found that in the\nunbroken PT regime, optical power saturation occurs owing to the existence of\nstable stationary states, which lies on the surface of 4-dimensional\nhypersphere. Inclusion of Kerr nonlinearity into our model leads to the\nemergence of a stable, chaotic and divergent region in the parameter basin for\nperiod-1 cycle. A closer inspection into the system shows us that the largest\nLyapunov exponent blows up in the divergent region. It is found that the\nexistence of high non-negative largest Lyapunov exponent causes chaotic spiking\nof optical power in the resonators.\n