Ray optics calculations of alignment matrices
- Document #:
- LIGO-T0900647-v2
- Document type:
- T - Technical notes
Other Versions:
- Abstract:
- 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.
- Files in Document:
-
- PDF file (AlignmentMatrix.pdf, 200.1 kB)
- Other Files:
- ZIP file of latex, figures (AlignmentMatrix.zip, 470.8 kB)
- Topics:
- Authors:
- Notes and Changes:
- Fixed typo in IMC matrix.