title: High-efficiency second-harmonic generation in doubly-resonant χ(²) microring resonators.
abstract: By directly simulating Maxwell's equations via the finite-difference time-domain (FDTD) method, we numerically demonstrate the possibility of achieving high-efficiency second harmonic generation (SHG) in a structure consisting of a microscale doubly-resonant ring resonator side-coupled to two adjacent waveguides. We find that ≳ 94% conversion efficiency can be attained at telecom wavelengths, for incident powers in the milliwatts, and for reasonably large bandwidths (Q ∼ 1000s). We demonstrate that in this high efficiency regime, the system also exhibits limit-cycle or bistable behavior for light incident above a threshold power. Our numerical results agree to within a few percent with the predictions of a simple but rigorous coupled-mode theory framework.
authors.affiliation: School of Physics, Shandong University, Jinan, Shandong 250100, China.
authors.forename: Zhuan-Fang
authors.initials: ZF
authors.lastname: Bi
authors.forename: Alejandro W
authors.initials: AW
authors.lastname: Rodriguez
authors.forename: Hila
authors.initials: H
authors.lastname: Hashemi
authors.forename: David
authors.initials: D
authors.lastname: Duchesne
authors.forename: Marko
authors.initials: M
authors.lastname: Loncar
authors.forename: Ke-Ming
authors.initials: KM
authors.lastname: Wang
authors.forename: Steven G
authors.initials: SG
authors.lastname: Johnson
mesh_terms: D003198:Computer Simulation; D017076:Computer-Aided Design; D004867:Equipment Design; D019544:Equipment Failure Analysis; D008027:Light; D008904:Miniaturization; D008962:Models, Theoretical; D012542:Scattering, Radiation; D020349:Surface Plasmon Resonance / Q000295:instrumentation*; D014159:Transducers