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Journal Article

Input-output relations for a three-port grating coupled Fabry-Perot cavity

MPS-Authors

Bunkowski,  Alexander
AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

Burmeister,  Oliver
AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Danzmann,  Karsten
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Schnabel,  Roman
Laser Interferometry & Gravitational Wave Astronomy, AEI-Hannover, MPI for Gravitational Physics, Max Planck Society;

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Citation

Bunkowski, A., Burmeister, O., Danzmann, K., & Schnabel, R. (2005). Input-output relations for a three-port grating coupled Fabry-Perot cavity. Optics Letters, 30(10), 1183-1185. doi:10.1364/OL.30.001183.


Cite as: https://hdl.handle.net/11858/00-001M-0000-0013-4EEC-B
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.