The integral equation for the field distributions of the resonant modes in a spherical-mirror Fabry-Perot resonator is solved in the limit of infinite Fresnel numbers. With this approximation the electric field is described in terms of Hermite-Gaussian functions and the resonance condition is obtained. The variations of nodal surface radii and characteristic mode dimensions are examined. A new definition of incremental mode volume leads to a minimum volume at a mirror spacing to mirror radius ratio of 1.5.
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P.O. Clark (1965) studied this question.
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