finesse.thermal.ring_heater.substrate_temperature

finesse.thermal.ring_heater.substrate_temperature(r, z, a, b, c, h, material, T_ext=293.15, m_max=10, root_accuracy=1e-12)

Computes the substrate temperature distribution per Watt absorbed ring heater power.

Parameters:

rarray_like

Radial vector [m]

zarray_like

Longitudinal vector [m]

afloat

Mirror radius [m]

bfloat

Ring heater lower boundary relative to center [m]

cfloat

Ring heater upper boundary relative to center [m]

hfloat

Mirror thickness [m]

materialMaterial

Mirror substrate material, see finesse.material

T_extfloat, optional

External temperature surrounding mirror

m_maxint, optional

Number of zeros to find, i.e. analytic order

root_accuracy: float, optional

Accuracy of root finding

Returns:

T_rh_per_Warray_like

2D Array of temperature distribution over [r, z]

Notes

Typo for A_m terms in manuscript, sin terms are functions of u_m, not v_m. See [30].