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arXiv · 0707.0625

Input-output relations for a 3-port grating coupled Fabry-Perot cavity

A. Bunkowski·O. Burmeister·K. Danzmann·R. Schnabel
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Abstract

We analyze an optical 3-port reflection grating by means of a scattering matrix formalism. Amplitude and phase relations between the 3 ports, i.e. the 3 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 3-port grating coupled cavity and find distinct properties not present in 2-port coupled cavities. The cavity relations further reveal that the 3-port coupler can be designed such that the additional cavity port interferes destructively. In this case the all-reflective, low-loss, single-ended Fabry-Perot cavity becomes equivalent to a standard transmissive, 2-port coupled cavity.

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A. Bunkowski, O. Burmeister, K. Danzmann, R. Schnabel. 2007-07-04. Input-output relations for a 3-port grating coupled Fabry-Perot cavity. https://doi.org/10.1364/ol.30.001183

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