I started playing with matlab for the first time, accurately simulated a coupled harmonic oscillator (starting from the basic differential equations, if anyone's curious), wrote a program to get a bode plot out of any simulation (regardless of the number of inputs/outputs), and read a lot.

I'm currently going through the first stage of simulating an ideal Fabry-Perot cavity (I technically started yesterday, but yesterday's work turned out to be wrong, so fresh start!), and other than yesterday's setback, its going okay.

I attached a screenshot of my simulation of the pitch/pendulum motion of one of the mirrors LIGO uses. The bode plots for this one are turning out a little weird, but I'm fairly certain its just a computational error and can be ignored (as the simulation matlab rendered without the coupling was really accurate - down to a floating point error). I have also attached these bode plots. The first bode is based on the force input, while the second is based on the torque input. It makes sense that there are two resonant frequencies, since there ought to be one per input.