Low energy, fantastic range
From HDE in another topic, I learned gravitational waves have an intensity which is inverse proportional to distance, not square distance, like in electromagnetic fields..
$$h\sim\frac{1}{R}\frac{GM}{c^2}\left(\frac{v}{c}\right)^2$$
Because of this, the gravitational wave energy becomes spread over a giant distances and their amplitude is extremely small.
Now suppose future detectors of gravitational waves will be very sensitive. I was thinking of using an array of highly sensitive gravitational wave detectors in orbit around a planet, as a long range sensor for ships that make use of artificial gravity, or Alcubierre drives.
https://en.wikipedia.org/wiki/Alcubierre_drive
An approximate direction to the ships is known
Important thing to keep in mind for this question: we know where to look, the direction: we know in what region of space these aliens are to be expected. So far, they were not particularly hostile to Earth, but we would like to know their capabilities. Distance to earth of the alien ships can be anywhere between 26 and 200 light years.
The source of the gravitational wave used for this
For our detector array, there is a suitable and regular gravitational wave, coming from that direction. The source of this GW is an imminent neutron star collision, which is in progress ca 600,000 light years behind our observation region, as seen from Earth. We expect to be able to use this constellation for about 100 years, before they collide.
https://marvelcinematicuniverse.fandom.com/wiki/Gravity_Field_Generator
Interference patterns
I wonder if an "obstacle" such as an Alcubierre drive, could cause a ripple in the gravitational waves, which could be found invoking interference patterns, like it happens in the water, when you put 2 sticks and disturb the surface.
Alternative method: the bending of light
(thanks @ChristopherJamesHuff for the feedback..)
The linear artificial gravity and the Alcumbiere drive introduce excessive gradients in space time, which could be detected using other means. When the field required for the drive has enough range, it could be detected using the same methods applied for exo-planets: find a disturbance in the starlight characteristic for sudden ST-gradients, like like gravitational lensing. We've chosen to invest in the GW array, because 1) we don't know if these ships emit EM radiation, and 2) whether these ships will be be parked anywhere near a star.
Question: is it plausible that a ship invoking a space time distortion may form characteristic interference patterns in gravitational waves, that can be detected by my array ?
https://en.wikipedia.org/wiki/Shack%E2%80%93Hartmann_wavefront_sensor
Answers I'll vote for would explain how artificial gravity or other space-time irregularities would disturb gravitational waves, or not. The best answer would make me replace a tag.. I'd like this question to become science-based, now it is not.
Note 1: the goal of my detector is to find out if FTL or Alcubierre drives or artificial gravity can exist, if it is in use anywhere within our Milky Way, say 100 thousand light years. My sensor has no space-war or defensive purpose. EDIT: You may assume we know in what direction to look.
Note 2: science based frame challenges are very welcome ! When gravitational waves e.g. can't do interference patterns of any kind, please correct me.