Abstract
The analysis of the modes of a spherical sector resonator reveals that with a simple change of variable the results of previous Fabry–Perot mode calculations of cylindrical resonators can be applied. The focusing action is shown to be equivalent to that of a corresponding cylindrical resonator and an associated lens. The diffraction limit at the focus for the lowest order mode is shown to be approximately the Fraunhofer diffraction limit of a focused uniformly illuminated circular aperture. In an appendix, a new method is presented for solving the integral equation for the mode description.
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