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We present an approach to mitigate coating thermal noise in optical cavitiesby using multiple TEM spatial modes to readout and stabilize laser frequency.With optimal weightings we synthesize a wider sampling of the mirror surface,improving averaging of Brownian thermal fluctuation. We show thermal noiseimprovement factors of 1.57, comparable to a MESA beam of a nominal 12 mprototype cavity, and a factor 1.61 improvement over the $\textrm{TEM}_{00}$using three modes in a 0.1 m cavity for a practical laboratory experiment:equivalent to cooling mirrors to 120 K from room temperature.

Mirror Coating Thermal Noise Mitigation Using Multi-Spatial Mode Cavity Readout