IMPEDANCE MODEL OF FABRY-PEROT RESONATORS,
Abstract
It is shown that the mode characteristics of a general class of open interferometers - Fabry-Perot resonators with flat mirrors of arbitrary aperture shape separated by the distance L can be determined in the high frequency limit by the solution of a two dimensional problem of a scalar field defined in the plane of a mirror, satisfying the helmholtz equation (del squared + 2Dk/iL)f = O, and the impedance boundary condition at the edge of the mirror f'/f = i sq-root(3k/exp(-i pi/2)L). The eigenvalues D are simply related to the complex resonant frequencies from which one obtains the diffraction losses and phase shifts. The derivation of an impedance problem is a generalization of a similar result previously obtained for the special case of parallel strip interferometers. (Author)
Document Details
- Document Type
- Technical Report
- Publication Date
- Feb 01, 1965
- Accession Number
- AD0614642
Entities
People
- M. C. Newstein
- S. R. Barone
Organizations
- Control Data Corporation