(Diagram of gravitational wave mirror)

Science fiction fans may well reflect on this research, since they've seen similar ideas more than a century ago. In his 1901 novel The First Men in the Moon, H.G. Wells wrote about a material called "cavorite" that was opaque to gravitation.

On the 14th of October, 1899, this incredible substance was made!
Oddly enough, it was made at last by accident, when Mr. Cavor least expected it. He had fused together a number of metals and certain other things - I wish I knew the particulars now ! - and he intended to leave the mixture a week and then allow it to cool slowly...
..."You are quite clear that the stuff is opaque to gravitation, that it cuts off things from gravitating towards each other? "
"Yes," said I. "Yes."
(Read more about Wells' Cavorite)

Once it becomes clear that Cavorite is "impervious to gravitation", the two men design a spherical spacecraft with special features that would allow them to steer the craft.

"You would go off in a straight line--" I stopped abruptly. "What is to prevent the thing traveling in a straight line into space for ever?" I asked. "You're not safe to get anywhere, and if you do--how will you get back?"
"I've just thought of that," said Cavor. "That's what I meant when I said the thing is finished. The inner glass sphere can be air-tight, and, except for the manhole, continuous, and the steel sphere can be made in sections, each section capable of rolling up after the fashion of a roller blind. These can easily be worked by springs, and released and checked by electricity conveyed by platinum wires fused through the glass. All that is merely a question of detail. So you see, that except for the thickness of the blind rollers, the Cavorite exterior of the sphere will consist of windows or blinds, whichever you like to call them. Well, when all these windows or blinds are shut, no light, no heat, no gravitation, no radiant energy of any sort will get at the inside of the sphere, it will fly on through space in a straight line, as you say. But open a window, imagine one of the windows open. Then at once any heavy body that chances to be in that direction will attract us--"
I sat taking it in.
"You see?" he said.
"Oh, I see."
"Practically we shall be able to tack about in space just as we wish. Get attracted by this and that."
(Wells' Cavorite)

This question of how gravitation might affect a sphere coated with a material that reflects gravity waves is particularly interesting, given recent questions about the behavior of Gravity Probe B, a orbiting experiment consisting of four perfectly round spheres, that spin rapidly and thus behave like gyroscopes. Each sphere has a thin superconducting coating.

The four gyroscopes in GP-B are the most perfect spheres ever made by humans. These ping pong-sized balls of fused quartz and silicon are 1.5 inches across and never vary from a perfect sphere by more than 40 atomic layers.
(Space.com)

(Spherical gyroscope used in Gravity Probe B)

If there were an obvious interaction between a superconducting films and gravitational waves, wouldn't Gravity Probe B have picked them up somehow? After all, in his previous paper Chiao says that a superconducting sphere is the perfect shape for a graviational wave antenna.

As it turns out, the experiment has been throwing out anomalous results ever since it was launched. The team has puzzled over them for years now and lately come to the conclusion that they are the result of some imperfections in the shape of the spheres. This seems rather unlikely given the testing regime that Gravity Probe B underwent during its tortuous history.

Could the real cause of Gravity Probe B's problems be reflections from passing gravitational waves?
(If superconducting sheets reflected gravitational waves...)