Abstract

We analyze how the evanescent coupling, ${\kappa }_e$, between the outermost resonators and input/output waveguides of an $N$-resonator coupled resonator optical waveguide (CROW) gyroscope affects the transmission and sensitivity to rotations. For constant coupling between resonators $\kappa$, rotation sensitivities increase as both ${\kappa }_e\to 0$ and ${\kappa }_e\to 1$ while between these two limits the sensitivity has a minimum. In the weak coupling regime, ${\kappa }_e\to 0$, the sensitivity is enhanced by Fabry–Perot oscillations due to the impedance mismatch at the input/output waveguide–CROW interface, while in the strong coupling regime, ${\kappa }_e\to 1$, the sensitivity is reduced because the outermost resonators no longer contribute to the CROW transmission. For small $N$ the sensitivity is proportional to $N^2$, while at larger $N$ the sensitivity begins to decrease due to resonator losses.

© 2013 Optical Society of America

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