Excitation of Fabry-Perot Resonator. I

This paper deals with a Fabry-Perot resonator formed by parallel circular plate mirrors. The method of formulation consists in setting up a set of simultaneous integral equations which represent continuities of the field and of its normal gradient across the open wall. The integral equations are transformed into a set of inhomogeneous linear equations for the components of the two infinite-dimensional vectors corresponding to the two boundary-value functions. For a simple excitation that the driving source is uniformly distributed on a small circular area at the center of the mirror, the equations are solved by a successive-approximation method using an electronic computor. The amplitude and the phase distributions of the field are obtained for some driving frequencies and Fresnel numbers. The input characteristic which shows a series of resonance is also given.