A multiplication method of the Sagnac effect scale factor in ring laser gyroscopes is presented based on the Vernier effect of a dual-coupler passive ring resonator coupled to the active ring. The multiplication occurs when the two rings have comparable lengths or integer multiples and their scale factors have opposite signs. In this case, and when the rings have similar areas, the scale factor is multiplied by ratio of their length to their length difference. The scale factor of the presented configuration is derived analytically and the lock-in effect is analyzed. The principle is demonstrated using optical fiber rings and semiconductor optical amplifier as gain medium. A scale factor multiplication by about 175 is experimentally measured, demonstrating larger than two orders of magnitude enhancement in the Sagnac effect scale factor for the first time in literature, up to the authors’ knowledge.
George A. Adib, Yasser M. Sabry, and Diaa Khalil, "Vernier effect-based multiplication of the Sagnac beating frequency in ring laser gyroscope sensors," Proc. SPIE 10512, Fiber Lasers XV: Technology and Systems, 105121M (Presented at SPIE LASE: February 01, 2018; Published: 26 February 2018); https://doi.org/10.1117/12.2288837.
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