NDLI: Sagnac Effect in Resonant Microcavities

Content Provider	IEEE Xplore Digital Library
Author	Sunada, S. Harayama, T.
Copyright Year	2006
Description	Author affiliation: Dept. of Nonlinear Sci., ATR Wave Eng. Lab., Kyoto (Sunada, S.; Harayama, T.)
Abstract	We report the Sagnac effect in resonant microcavities. The Sagnac effect is the phase and frequency difference between two counter propagating laser beams in a rotating ring resonator, and has been studied for a long time. It forms the basis for the optical gyroscopes, such as ring laser gyroscope or fiber optic gyroscopes. Conventional theoretical approach for the Sagnac effect has been derived from the assumption that the light propagates one-dimensionally and the wavelength of the light is typically much smaller than the cavity length. However, nowadays, micro-fabrication techniques are developed enough that the cavity size can approach the size of the wavelength of the light. The conventional formalism for the Sagnac effect, therefore, breaks down and needs to be replaced. We derive the Sagnac effect in resonant microcavities theoretically and numerically without the conventional assumption and show that the frequency shift due to the Sagnac effect occurs as a threshold phenomenon for rotation velocity in a rotating microcavity by employing perturbation theory typically used in quantum mechanics. The threshold exists even in the absence of the backscattering, which causes the lock-in phenomenon, and depends on the geometric shape and the symmetry of resonant cavities. It is also shown that the eigenfunctions of a rotating microcavity become rotating waves above the threshold while they are standing waves below the threshold. Our theoretical approach can be applied to the resonant cavities of arbitrary shapes and can make it possible to design compact optical gyroscopes that have a low threshold
Starting Page	92
Ending Page	92
File Size	107185
Page Count	1
File Format	PDF
ISBN	1424402352
DOI	10.1109/ICTON.2006.248248
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2006-06-18
Publisher Place	UK
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Sagnac interferometers Resonance Microcavities Gyroscopes Optical ring resonators Frequency Optical propagation Fiber lasers Laser theory Ring lasers
Content Type	Text
Resource Type	Article

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