Optimized 3D simulation method for modeling of out-of-plane radiation in silicon photonic integrated circuits

摘要

We present an accurate and fast 3D simulation scheme for out-of-plane gratingcouplers, based on two dimensional rigorous (finite difference time domain)grating simulations, the effective index method (EIM), and theRayleigh-Sommerfeld diffraction formula. In comparison with full 3D FDTDsimulations, the rms difference in electric field is below 5% and thedifference in power flux is below 3%. A grating coupler for coupling from asilicon-on-insulator photonic integrated circuit to an optical fiber positioned0.1 mm above the circuit is designed as example.