POXDC (i.e. POY DCout)
PRM misaligned: 70cnt
CA resonant PRMI: ~8000cnt (max)
REFLDC
PRMI antiresonant = 5200cnt
PRMI resonant = ~3000cnt
==> Visivility = 0.6
PRM
Transmissivity: TR=0.0575, tR=sqrt(TR)
Rough estimation of the power recycling gain (assuming perfect mode matching)
PPRM_mialign = Pin tR2
PPRM_resonant = Pin [tR/(1-rR rMI)]2
G = tR2 PPRM_resonant / PPRM_mialign = 8000/70*0.0575 = 6.5
This is way too low compared with the design (G>40)
This corresponds to rMI2=0.885 (loss of 10%) in the power recycling cavity.
But this yields visibility of 16%, instead of 60% which we saw. This is inconsistent.
If mode matching is not perfect, effective incident power of PRMI decreases
and this discrepancy may be explained
Pin = Pjunk + (Pin-Pjunk)
PPRM_mialign = Pin tR2
PPRM_resonant = (Pin-Pjunk) [tR/(1-rR rMI)]2
PREFL_antires ~ Pin
PREFL_resonant = Pjunk+(Pin-Pjunk)[-rR+(tR2 rMI)/(1-rR rMI)]2
===>
PPRM_resonant / PPRM_mialign = (1-Rmm) /(1-rR rMI)2=8000/70
PREFL_resonant /PREFL_antires= Rmm+(1-Rmm)[-rR+(tR2 rMI)/(1-rR rMI)]2=0.6
here Rmm= Pjunk/Pin is the mode matching ratio
Solving the last two equations, we obtain
Rmm=0.6,
rMI2= 0.939 (loss of 4-5%)
Can we believe that the mode matching is 60% and the loss is 5%??? |