Faraday Effect in High-<formula formulatype="inline"><tex Notation="TeX">$Q$</tex></formula> Whispering-Gallery Mode Optical Cavities

Abstract

The general theory of Faraday rotation in high-Q whispering-gallery (WG) mode optical cavities is investigated. We have derived a matrix equation for the transmitted optical field through a WG mode optical cavity in a time-independent magnetic field. Using the corresponding mathematical framework, we have studied the behavior of the output power spectrum as a function of the magnetic field strength for a typical WG mode optical cavity. The effects of input polarization, optical quality factor, and cavity diameter on the magnetic response are studied.

Keywords

• Optical cavities
• nonlinear optical effects
• light-material interactions
• theory