Asymptotic estimations of power thresholds and anti-Stokes frequency of laser induced thermal scattering in microresonators

TL;DR

This paper derives asymptotic formulas for the power thresholds and anti-Stokes frequencies of laser-induced thermal scattering in silica microresonators, considering nonlinear interactions among multiple modes.

Contribution

It presents new asymptotic expressions for thermal scattering thresholds and anti-Stokes frequencies in high-Q microresonators, accounting for complex mode interactions.

Findings

Low power thresholds at morphology-dependent resonances.

Asymptotic formulas accurately predict thermal scattering behavior.

Mode interactions influence the thermal scattering characteristics.

Abstract

A derivation of the asymptotic expressions for the threshold intensity of laser induced thermal scattering in silica microresonator when illuminated with a plane wave is present. The calculation of anti-Stokes thermal combination frequencies are made for the spherical high Q-factor microresonators. The three modes regime of nonlinear interaction is considered. One pump-driven, two signal modes, and one mode of temperature relaxation are taken into account, satisfying morphology-dependent input and output resonances. There are low power thresholds for laser induced thermal scattering at morphology dependent resonances.