Abstract
This paper reformulates the problem of a dithered-ring-laser gyroscope as a mapping of points on the unit circle onto other such points. These mappings are represented by Cayley matrices. The relationship to our earlier Floquet theory is established, and it is shown how the properties of the mapping determine the lock-in behavior and the dynamics of the system. With square-wave dithering the mapping can be calculated analytically, and the expression allows rapid numerical exploration of the behavior in various regimes of operation. The Cayley transformation method is found to offer a convenient and intuitively transparent way to handle the locking phenomenon in a dithered ring laser.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.