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    $\begingroup$ This question got me interested in looking at the paper you linked, but I too have trouble following their terminologies. I assume that the term "coupled cavity" refers to the fact that their Fabry-Perot arms are coupled with power recycling and signal recycling mirrors, and "differential" refers to the differential movement in the Fabry-Perot arms (to which the GW signal is sensitive). $\endgroup$ Commented Apr 14, 2019 at 14:06