Modes in Stable and Unstable Regions of the Flat-Roof Open Resonator

摘要

The integral equation of a flat-roof resonator is solved by the Fox and Li method of iterations in a number of particular cases. Mode patterns, phase shifts and power losses are derived as functions of the roof angle and of mirror aperture. A good over all agreement is found with the approximate theory previously developed by Toraldo di Francia. High loss regions are also observed. The behavior of different modes in such regions is investigated in detail. Experimental tests carried out on a X-band model give a confirmation of the theoretical predictions. (Author)