| Popis: |
In this paper, we study the rotation sensitivity of a gyroscope made of a two -dimensional array of coupled resonators consisting of N columns of one -dimensional coupled resonant optica l waveguides (CROWs) connected by two bus waveguides, each CROW consisting of M identical ring resonators. We show that the maximum rotation sensitivity of this structure is a strong function of the parity of the number of rows M. For an odd number of rows , and when the number of columns is small, the maximum sensitivity is high, and it is slightly lower than the maximum sensitivity of a single-ring resonator with two input/output waveguides (the case M = N = 1), which is a resonant waveguide optical gyroscope (RWOG). For an even M and small N, the maximum sensitivity is much lower than that of the RWOG. Increasing the number columns N increases the sensitivity of an even -row 2D CROW sublinearly, as N 0.39 , up to 30 columns. In comparison, the maximum sensiti vity of an RWOG of equal area increases faster, as !N. The sensitivity of the 2D CROW therefore always lags behind that of the RWOG. For a 2"2 CROW, if the spacing between the colum ns L is increased sufficiently the maximum sensitivity increases linearly with L due to the presence of a composite Mach -Zehnd er interferometer in the structure. However, for equal footprints this sensitivity is also not larger than that of a single-ring resonator. Regardless of the number of rows and columns and the spacing, for the same fo otprint and propagation loss, a 2D CROW gyroscope is not more sensitive than an RWOG. Keywords: Coupled resonator optical waveguide, resonant waveguide optical gyroscope, resonant fiber optic gyroscope, transfer matrix method, rotation sensing. |
