mie_pi

miepython.vsh.mie_pi(n, theta, deg=False)

Computes the angular variation of the electric field arising from the nth electric multipole 𝜋_n(𝜃).

The variation is given by associated nth Legendre polynomial P¹_n(cos(𝜃))/sin(𝜃)

Care is taken to avoid division by zero and for this function to work with both scalars and arrays

Parameters:

• n – Degree of multipole 1=dipole, 2=quadrupole, 3=octopole

• theta – angle in radians

• deg – if True then angle is in degrees

Returns:

array-like – Values of dP_n^m(x)/dx.