Update:
We went ahead and performed a further analysis. This time we included the effect of mode mismatch. The results are that
- Intra cavity loss = 25% (our rough estimation last night turned out to be good)
- Mode mismatch = 10% (including not only HOMs but also the RF sidebands which don't resonate in the power recycling cavity)
The attached is the python code which gave the above results. Also the below are some associated plots.