Periodic defect engineering in microring resonators for high-purity vortex-beam generation
Zezheng Wang, Bohao Chen, Jihong Zhu, Yuanjie Yang, and Zhihong Zhang
Phys. Rev. Applied 26, 024043 (2026) - Published 17 August, 2026
Angle gratings can efficiently extract light trapped in high-order-topological-charge whispering-gallery modes of microring resonators into free-space beams, yet backscattering remains the key factor compromising the purity of the emitted topological charge. In this study, we develop a coupled-mode theory for defect scattering in passive microring cavities. Using a non-Hermitian Hamiltonian framework, we describe the defect-induced asymmetric coupling between clockwise and counterclockwise modes. This defect-induced asymmetry drives the evolution from standing-wave modes to unidirectional traveling-wave modes, ultimately enabling the generation of high-purity vortex light emission. Rotating a single grating tooth defect by in a rotationally symmetric microring periodically modulates intracavity backscattering and mode coupling. When weak backscattering is fully suppressed by destructive interference, the intracavity standing wave decouples and reconstructs into a unidirectional traveling wave, emitting a one-handed vortex beam. Even weak defect-induced backscattering degrades traveling-wave purity. Introducing a second independent grating tooth defect moving along the inner wall enables periodic coherent cancellation, restoring the traveling-wave state with vortex emission purity up to 99%. These theoretical predictions agree well with simulations. Of note, this study reveals the evolution of microcavity eigenvalues and eigenstates with defect position. First, when backscattering is canceled out, the real parts of the eigenvalue spectrum exhibit contact and separation behavior at degenerate frequencies, while the imaginary parts cross linearly, describing the merging of split eigenvalues back to a degenerate state by suppressing of mode coupling. Second, eigenstate phase rigidity remains well above zero, demonstrating that eigenvectors maintain linear independence without coalescing. This distinguishes the coherent cancellation process from non-Hermitian exceptional points. Additionally, the electric-field overlap integral approaches unity, indicating perfect spatial reconstruction of the standing wave into the original unidirectional traveling wave. This study provides a theoretical basis for defect engineering and non-Hermitian photonic devices. In addition, the high-purity vortex will have broad application prospects in on-chip information processing and particle micromanipulation.




