Input-output relations for a 3-port grating coupled Fabry-Perot cavity
Optics
2009-11-13 v1
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.
Cite
@article{arxiv.0707.0625,
title = {Input-output relations for a 3-port grating coupled Fabry-Perot cavity},
author = {A. Bunkowski and O. Burmeister and K. Danzmann and R. Schnabel},
journal= {arXiv preprint arXiv:0707.0625},
year = {2009}
}