Tau¶

pyvsim.MieUtils.Tau(pi, costheta)[source]¶

Returns the value of the function \(\tau\), as defined by Maetzler (Maetzler, C. Matlab functions for Mie scattering and absorption Institute of Applied Physics, University of Bern, 2002), as a function of the cosine of the scattering angle (\(\theta\)) and the \(\Pi\) function:

\({\tau}_n, cos(\theta)) = n cos(\theta) \Pi(n) - (n+1) \Pi(n-1)\)

Parameters :	pi : numpy.array (n) An array containing the values of the \(\Pi\) function costheta : double The co-sine of the scattering angle
Returns :	tau : numpy.array (n) An array containing the values of the Theta function