Analytical study of optical bistability in silicon ring resonators

Area of Science:

• Photonics and Nanotechnology
• Nonlinear Optics
• Materials Science

Background:

• Optical bistability is a key phenomenon in nonlinear optics.
• Silicon photonics offers a promising platform for integrated optical devices.
• Understanding nonlinear effects in resonators is crucial for device design.

Purpose of the Study:

• To theoretically analyze optical bistability in a silicon-waveguide nanowire ring resonator.
• To derive an exact parametric relation between output and input intensity.
• To generalize the effective length concept for silicon ring resonators considering various losses.

Main Methods:

• Theoretical analysis of nonlinear optical phenomena.
• Derivation of an input-output intensity relation.
• Inclusion of linear losses, Kerr nonlinearity, two-photon absorption, free-carrier effects, and thermo-optic effects.

Main Results:

• An exact parametric relation for optical bistability in silicon ring resonators was derived.
• A generalized definition of effective length was proposed to account for all resonator losses.
• A simplified model for resonators with minimal two-photon absorption losses was presented.

Conclusions:

• The derived analytical results provide a clear understanding of the physics of optical bistability.
• The study offers valuable insights for the design of silicon-based optical memories.
• The generalized effective length definition enhances the analysis of silicon ring resonators.