Analysis of parametric oscillatory instability in Fabry-Perot cavity with Gauss and Laguerre-Gauss main mode profile
S. E. Strigin, S. P. Vyatchanin
TL;DR
This paper investigates parametric oscillatory instability in Fabry-Perot cavities used in gravitational wave detectors, analyzing how different mode profiles affect stability and identifying unstable mode combinations for specific laser modes.
Contribution
It provides a detailed calculation of parametric instabilities for Advanced VIRGO and LIGO cavities with Gaussian and Laguerre-Gauss modes, highlighting unstable mode combinations.
Findings
Identified unstable mode combinations for TEM00 and LG33 modes.
Compared stability characteristics between Gaussian and Laguerre-Gauss modes.
Provided insights into mode profile effects on cavity stability.
Abstract
We calculate the parametric instabilities in Fabry-Perot cavities of Advanced VIRGO and LIGO interferometers with different main mode profiles. All unstable combinations of elastic and Stokes modes both for the case with TEM00 and LG33 as a carriers are deduced.
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