Fabry-Perot temperature dependence and surface-mounted optical cavities

TL;DR

This paper investigates the temperature dependence of Fabry-Perot optical cavities, modeling the effects of thermal expansion and validating the model with experimental measurements and surface-mounted cavity tests.

Contribution

It presents a finite-element-analysis-based model of temperature effects on cavity resonance and validates it through experimental measurements and surface-mounted cavity experiments.

Findings

Model accurately predicts frequency shifts with temperature.

Measured CTE profile matches experimental surface-mounted cavity results.

Temperature dependence can be effectively modeled and characterized.

Abstract

Factors that contribute to the temperature dependence of a resonant frequency in a low-expansion optical cavity are discussed, including deformation at the cavity ends due to different coefficients of thermal expansion (CTE) of the spacer, optically-contacted mirror substrate and coating. A model of the temperature dependence is presented that incorporates finite-element-analysis of the cavity ends. A measurement of frequency versus temperature of a cavity mode is used along with the model to deduce a spacers CTE versus temperature profile. The measured profile correlates very well with a separate experiment utilizing a temporary surface-mounted Fabry-Perot cavity fabricated on the outside of the spacer with hydroxy-catalysis bonding.