Abstract
We derive relationships between various types of small misalignments in a triangularoptical cavity and associated geometrical eigenmode changes. We focus on the changes ofbeam spot positions on cavity mirrors, the beam waist position and its angle. A comparisonof analytical and numerical results shows excellent agreement. The results are applicable toany triangular cavity close to an isosceles triangle, with the lengths of two sides muchbigger than the third, consisting of a curved mirror and two flat mirrors (the curved mirroris the distant one) yielding a waist equally separated from the two flat mirrors. This cavityshape is most commonly used in laser interferometry. The analysis presented herecan easily be extended to more generic cavity shapes. The geometrical analysisnot only serves as a method of checking a simulation result, but also gives anintuitive and handy tool to visualize the eigenmode of a misaligned triangular cavity.
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