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Tilt-to-length coupling is a technical term for the cross-coupling of angularor lateral jitter into an interferometric phase signal. It is an importantnoise source in precision interferometers and originates either from changes inthe optical path lengths or from wavefront and clipping effects. Within thispaper, we focus on geometric TTL coupling and categorize it into a number ofdifferent mechanisms for which we give analytic expressions. We then show thatthis geometric description is not always sufficient to predict the TTL couplingnoise within an interferometer. We, therefore, discuss how understanding thegeometric effects allows TTL noise reduction already by smart design choices.Additionally, they can be used to counteract the total measured TTL noise in asystem. The presented content applies to a large variety of precisioninterferometers, including space gravitational wave detectors like LISA.

Geometric tilt-to-length coupling in precision interferometry: mechanisms and analytical descriptions