finesse.thermal.ring_heater.zeros_u_m¶
- finesse.thermal.ring_heater.zeros_u_m(double a, double h, double tau, int m_max, double accuracy)¶
Compute the roots of the equation
\[u_m - au \cot(u_m h/(2a)) = 0 \]- Parameters:
- afloat
Mirror radius [m]
- hfloat
Mirror thickness [m]
- taufloat
Reduced radiation constant
- n_maxint
Max bessel order to compute up to
- accuracydouble
absolute error on zero finding brentq algorithm
- Returns:
- u_marray_like
Array of m_max zeros