finesse.thermal.hello_vinet.substrate_temperatures

finesse.thermal.hello_vinet.substrate_temperatures(data, z, h)

Computes the 2D substrate temperature distribution per Watt of absorbed power in each of the coating and substrate for an arbitrary axisymmetric heating irradiance computed with p_n_s_numerical().

Parameters

datatuple

Irradiance fit data from p_n_s_numerical()

zndarray

Longitudinal points, should sample points between -h/2 and h/2. Sampling outside this region will yield incorrect results.

hfloat

Longitudinal points

Returns

T_coatndarray(shape=(z.size, r.size))

2D array of temperature in substrate from coating absorption per watt of power absorbed in coating

T_bulkndarray(shape=(z.size, r.size))

2D array of temperature throughout substrate from bulk absorption per watt of power absorber through the entire substrate.

Notes

This is using equation 3.20 and 3.25 in [1] for \(\phi=0\).

Currently only works for n_max == 0.

1

Jean-Yves Vinet, “On Special Optical Modes and Thermal Issues in Advanced Gravitational Wave Interferometric Detectors” Living Review 2009