title: Input-output relations for a three-port grating coupled Fabry-Perot cavity.
abstract: We analyze an optical three-port reflection grating by means of a scattering matrix formalism. Amplitude and phase relations among the three ports, i.e., the three orders of diffraction, are derived. Such a grating can be used as an all-reflective, low-loss coupler to Fabry-Perot cavities. We derive the input-output relations of a three-port grating coupled cavity and find distinct properties that are not present in two-port coupled cavities. The cavity relations further reveal that the three-port coupler can be designed such that the additional cavity port interferes destructively. In this case the all-reflective, low-loss, single-end Fabry-Perot cavity becomes equivalent to a standard transmissive, two-port coupled cavity.
authors.affiliation: Max-Planck-Institut für Gravitationsphysik (Albert-Einstein-Institut), and Institut für Atom- und Molekülphysik, Universität Hannover, Callinstrasse 38, 30167 Hannover, Germany. alexander.bunkowski@aei.mpg.de
authors.forename: A
authors.initials: A
authors.lastname: Bunkowski
authors.forename: O
authors.initials: O
authors.lastname: Burmeister
authors.forename: K
authors.initials: K
authors.lastname: Danzmann
authors.forename: R
authors.initials: R
authors.lastname: Schnabel