Power coupling losses for misaligned and mode-mismatched higher-order Hermite-Gauss modes

Abstract

This paper analytically and numerically investigates misalignment and mode-mismatch induced power coupling coefficients and losses as a function of Hermite Gauss (HG) mode order. We show that higher-order HG modes are more susceptible to beam perturbations when, for example, coupling into optical cavities: the misalignment and mode-mismatch-induced power coupling losses scale linearly and quadratically with respect to the mode indices respectively. As a result, the mode-mismatch tolerance for the ${\mathrm{HG}}_{3,3}$ mode is reduced to a factor of 0.28 relative to the currently-used ${\mathrm{HG}}_{0,0}$ mode. This is a potential hurdle to using higher-order modes to reduce thermal noise in future gravitational-wave detectors.

arXiv comment4 pages, 2 figures, references order corrected

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Cited by in corpus (5)

• Experimental demonstrations of alignment and mode matching in optical cavities with higher-order Hermite-Gauss modes
• Misalignment and mode mismatch error signals for higher-order Hermite-Gauss modes from two sensing schemes
• On the noise effect of test mass surface roughness in spaceborne gravitational wave detectors
• Beam displacement tolerances on a segmented mirror for higher-order Hermite-Gauss modes
• High-efficiency Electro-Optic Lens for radio frequency beam wavefront modulation for mode mismatch sensing