Asymptotic method for constructing a dynamic frequency response of a laser gyro

We consider an equation describing the dynamics of the phase of a beat signal at the output of a ring laser gyro in the presence of an alternating-sign frequency biasing in the form of a superposition of two meanders with different amplitudes and periods. It is assumed that the amplitude of one of the meanders is much larger than that of the other as well as than the half-widths of the static lock-in and the measured difference of eigenfrequencies of a ring resonator. A method is proposed for approximately calculating the beat frequency as a function of the measured difference between the eigenrequencies of the resonator. The result of applying this method represents analytically a recursive algorithm. Its implementation on a computer has made it possible to construct a dynamic frequency (output) response of a laser gyro with a biasing of given form.