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Journal of Lightwave Technology

Journal of Lightwave Technology

| A JOINT IEEE/OSA PUBLICATION

  • Vol. 27, Iss. 1 — Jan. 1, 2009
  • pp: 47–54

Performance Limitation of a Coupled Resonant Optical Waveguide Gyroscope

Matthew A. Terrel, Michel J. F. Digonnet, and Shanhui Fan

Journal of Lightwave Technology, Vol. 27, Issue 1, pp. 47-54 (2009)


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Abstract

We demonstrate through theoretical analysis that unlike predicted by others, an unbiased coupled resonant optical waveguide (CROW) gyroscope made of $N$ ring resonators has a response to a rotation rate $\Omega$ that is proportional to $(N \Omega)^2$, and hence its sensitivity to small rotation rates is vanishingly small. We further establish that when proper phase bias is applied to the CROW gyro, this response becomes proportional to $N\Omega$ and the sensitivity to small rotation rates is then considerably larger. However, even after optimizing the CROW parameters ($N$ and the ring-to-ring coupling coefficient $\kappa$), the CROW gyro has about the same sensitivity as a conventional fiber optic gyroscope (FOG) with the same loop loss, detected power, and footprint. This maximum sensitivity is achieved for $N = 1$, i.e., when the CROW gyro resembles a resonant FOG. The only benefit of a CROW gyro is therefore that it requires a much shorter length of fiber, by a factor of about $1/ (2 \kappa)$, but at the expense of a stringent control of the rings' optical path lengths, as in a resonant FOG. Finally, we show that the slower apparent group velocity of light in a CROW gyro compared to a FOG is unrelated to this shorter length requirement.

© 2009 IEEE

Citation
Matthew A. Terrel, Michel J. F. Digonnet, and Shanhui Fan, "Performance Limitation of a Coupled Resonant Optical Waveguide Gyroscope," J. Lightwave Technol. 27, 47-54 (2009)
http://www.opticsinfobase.org/jlt/abstract.cfm?URI=jlt-27-1-47

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