Coupling coefficients describe the excitation of eigenfunctions by an incident wave. They are derived here for each of the two systems of eigenfunctions of a spherical resonator, characterized by Hermite or Laguerre polynomials, and for incident waves of any transverse mode, of axes not collinear to the axis of the resonator (three parameters of misalignment), and of structure not matched to the resonator (two parameters of mismatching). Alignment and matching may be controlled by suppressing the excitation of all eigenfunctions except the fundamental mode. An estimate of the residual amounts of misalignment and mismatching is an example of the use of the coupling coefficients.
© 1984 Optical Society of America
Original Manuscript: September 19, 1983
Published: May 1, 1984
F. Bayer-Helms, "Coupling coefficients of an incident wave and the modes of a spherical optical resonator in the case of mismatching and misalignment," Appl. Opt. 23, 1369-1380 (1984)