Three-port beam splitters-combiners for interferometer applications
R. Schnabel, A. Bunkowski, O. Burmeister, K. Danzmann

TL;DR
This paper derives coupling relations for three-port beam splitters-combiners and explores their application in interferometers, demonstrating potential for improved signal separation and all-reflective cavity configurations.
Contribution
It introduces generic phase and amplitude coupling relations for three-port beam splitters-combiners and applies them to enhance interferometer performance.
Findings
Reflection grating can act as a coupler for Fabry-Perot ring cavities
Impedance-matched interferometers can serve as all-reflective ring mode cleaners
Almost complete separation of carrier power and phase signal is achievable in undercoupled regimes
Abstract
We derive generic phase and amplitude coupling relations for beam splitters-combiners that couple a single port with three output ports or input ports, respectively. We apply the coupling relations to a reflection grating that serves as a coupler to a single-ended Fabry-Perot ring cavity. In the impedance-matched case such an interferometer can act as an all-reflective ring mode cleaner. It is further shown that in the highly undercoupled case almost complete separation of carrier power and phase signal from a cavity strain can be achieved.
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