Lock Acquisition
Lock Acquisition Issues:
What is the length sensing and control scheme?
Its important for lock acquisition studies
that we figure out how we will read out each of the 5 length DOFs. The first scheme used to
lock the 40m prototype was tuned to make a nice sensing matrix but was not optimized for
noise.
What is the lock acquisition sequence?
What states do we travel through to get from all DOFs uncontrolled to all under control
and then to full resonance of all cavities? In the past people have used the 'Blind'
approach (turn on all the servos and wait for awhile), the 'Bang-Bang' approach (e.g. in
LIGO-I where the digital matrix is dynamically inverting the optical plant), and there
is the 'Low-Finesse' slow approach taken by Virgo.
Can we actuate the laser wavelength to lock L+ ?
Since we expect the L+ DOF to be noisier than L-, it is attractive to consider adjusting the
laser wavelength to lock L+. In principal, the wavelength can be slewed alot faster than
a 30 kg mass with a weak electro-static actuator can. Its important that the overall laser
stabilization system be designed with enough range and robustness that it can be actuated
during lock acquisition. In particular, the PSL's FSS needs to be able to handle large
transients.
Suspension Point Interferometer.
Since there will always be low frequency (f < 0.2 Hz) motion of the seismic isolation
platforms (especially during storms and earthquakes) it seems prudent to have a global
feedback system which will stabilize the relative motions between the optics tables.
By making a few low power, low finesse interferometers attached to the optics table,
we can interferometrically lock the tables together and, in principal, suppress the low
frequency motion by > 40 dB. A detailed analysis of this idea should be done including:
scattered light issues, optical layout, controls modeling, and cost estimate.
Single Cavity Time Domain Simulations.
The Advanced LIGO arm cavity mirrors are supported by quad suspensions. This can lead to
complicated dynamics during lock acquisition. However, if we believe that its possible
to acquire lock by just driving the ESD on the test mass, then the problem becomes the
just one of locking single Fabry-Perot cavities with a simple pendulum (in the low power
limit where the optical spring is not important). In reality, if we acquire lock with 1 W
of power into the interferometer, the optica spring frequency is ~8 Hz. I believe this is
not substantially different from the LIGO-I case, albeit with lower available forces, lower
seismic noise, higher finesse arm cavities, and a higher effective pendulum frequency.
More to add:
- Useful numbers (fringe velocities, actuation forces, spring frequencies, optic mass, cavity finesse)
LA Related Documents
L. Barsotti's Thesis
M. Evans' Thesis
R. Ward's Thesis
LIGO-I LA Paper
LA Related Current Events