LIGO Document T0900647-v2
- The location of the mode of a resonant cavity can be completely
defined by the waist position and angle. In the case of a two mirror
cavity, its a simple matter to calculate how the waist shifts with
misalignment of the mirrors. For a ring cavity with three or more
mirrors, there are more mirror degrees of freedom than there are
cavity mode degrees of freedom and we must define a control matrix.
In this note, we show a general technique for calculating the waist
motion as a function of mirror alignment using ray optics.
- PDF file (AlignmentMatrix.pdf, 200.1 kB)
- Other Files:
- Fixed typo in IMC matrix.
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