Rainer Weiss Quotes
The obvious thing to me was, let's take freely floating masses in space and measure the time it takes light to travel between them. The presence of a gravitational wave would change that time. Using the time difference, one could measure the amplitude of the wave.
Citations
Chu, Jennifer. "Rainer Weiss on LIGO's Origins." MIT News, Massachusetts Institute of Technology, 11 Feb. 2016.
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Rainer "Rai" Weiss is an American physicist, known for his contributions in gravitational physics and astrophysics. He is a professor of physics emeritus at MIT and an adjunct professor at LSU. He is best known for inventing the laser interferometric technique which is the basic operation of LIGO. He was Chair of the COBE Science Working Group.