Partial compensation of thermal noise in the fundamental mode of an optical cavity

Thermal noise of optical cavities limits the accuracy of many experiments on precision laser spectroscopy and interferometry. The study of the physical properties of this noise opens opportunities for the creation of more stable cavities, reduction of phase noise of optical radiation, and performance of accurate optical studies. The paper proposes a method of partial recording of TEM00 mode thermal noise of a Fabry-Perot cavity using two "probe" modes of higher order. The method allows partial compensation of noise in the fundamental mode. Mathematical modeling is performed, which confirms the efficiency of the method.