40m QIL Cryo_Lab CTN SUS_Lab TCS_Lab OMC_Lab CRIME_Lab FEA ENG_Labs OptContFac Mariner WBEEShop
  PSL  Not logged in ELOG logo
Message ID: 268     Entry time: Tue Aug 10 19:35:13 2010
Author: tara 
Type: Notes 
Category: NoiseBudget 
Subject: fluctuation in power, COMSOL model 

I use time dependent option to simulate temperature change inside the mirror. The power input is DC + fluctuation.

Assuming RIN = 10^-4 @ 10 Hz, no coatings layer.

The plot below shows the absolute value of temperature fluctuation |(T - <T>)| on y-axis, and depth from the surface on x-axis.

Different lines (data 1 to 11) are different times in the substrate, from 20.0 to 20.1 sec with 0.01 time step.

It seems that the thermal length is quite large ~0.26 mm compared to what we got from half infinite model (~5 um).

 

dT from 1-D model is ~0.32 uK, while the result from COMSOL is ~1.8 uK.

If we use dT = 1.8 uK the frequency noise at 10 Hz will be (a factor of 6 larger) ~0.009 Hz/ rtHz. Still too low to see.

Attachment 1: FIT_thermal_length.png  16 kB  | Hide | Hide all
FIT_thermal_length.png
Attachment 2: heat3t.mph  380 kB
ELOG V3.1.3-