finesse.thermal.ring_heater.surface_deformation

finesse.thermal.ring_heater.surface_deformation(r, a, b, c, h, material, barrel_material=None, T_ext=293.15, m_max=10, root_accuracy=1e-12)

“Computes the surface thermo-elastic deformation of the HR surface per Watt absorbed ring heater power.

Parameters:

rarray_like

Radial 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.materials

barrel_materialMaterial

Barrel coating material, see finesse.materials

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:

U_z_rh_per_Warray_like

1D radial vector of z displacement per Watt of ring heater power

Notes

See [34] for derivation of these equations.