Generalized temporal coupled-mode theory for a P T-symmetric optical resonator and Fano resonance in a P T-symmetric photonic heterostructure

Author:
Publisher website
Google Scholar
Abstract
We have proposed generalized temporal coupled-mode theory for P T -symmetric optical resonator, and on this basis we have explained the Fano resonance in P T -symmetric photonic heterostructure. Our theoretical predictions agree very well with the simulated results obtained by transfer matrix method, which confirms the correctness of our theory. Compared with conventional Fano resonance in optical resonator with time-reversal symmetry, in this Fano resonance the amplitudes of scattering coefficients can be tuned in much larger range, which can be much larger than one, and tend to infinity at singular scattering point, where the rates of dissipation and accumulation are equal to each other and the difference of the phases of the coupling coefficients between output fields and resonant mode is equal to ±π/2. Not only that, the quality factor Q here can be negative out of accumulation, and approaches infinity at this singular scattering point. The phases of reflections jump π in the vicinity of the minima of corresponding amplitudes. We believe that we open a new door to study Fano resonance in non-Hermitian optics and inspire relevant study in other non-Hermitian wave systems.
Funding Information
  • Scientific and Technological Innovation Programs of Higher Education Institutions in Shanxi Province of China (2019L0019)
  • Applied Basic Research Project of Shanxi Province, China (201901D211165)
  • National Natural Science Foundation of China (12004231)

This publication has 41 references indexed in Scilit: