Ting's code for new coating thermal noise is attached. This is the code used for the calculation in their paper (not published yet). They use loss in shear and bulk mode which are assumed to be equal to the loss measured from ring down. The result is ~5% different from the calculation from Harry et al's result.

    We talked to Huan about how their coating Brownian noise calculation differs from that of Harry etal. The main points are:

• different notation for loss angles
• light penetration in the coating is considered
• correlation between substrate surface and coating noise

Since phi_bulk and phi_shear are not well studied in the literature, the exact values are undetermined. By setting them to be equal to the regular phi obtained from ring down measurement, the result of the coating noise is not significantly different from the model we have been using.