Transformations of spherical beam shape coefficients in generalized Lorenz–Mie theories through rotations of coordinate systems: II. Axisymmetric beams

The description of laser beams in spherical coordinates requires the introduction of expansion coefficients named beam shape coefficients, or more specifically spherical beam shape coefficients. In part I of the present series of papers, we presented a general formulation for the transformation of spherical beam shape coefficients through rotations of coordinate systems, taking the form of a theorem of transformation. The present Part II deals with the special case of axisymmetric beams, more particularly of on-axis axisymmetric beams (such as Gaussian beams in an on-axis configuration).