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High Precision Optical Cavity Length And Width Measurements Using Double Modulation, A. Staley, D. Hoak, A. Effler, K. Izumi, S. Dwyer, K. Kawabe, E. J. King, Malik Rakhmanov, R. L. Savage, D. Sigg
High Precision Optical Cavity Length And Width Measurements Using Double Modulation, A. Staley, D. Hoak, A. Effler, K. Izumi, S. Dwyer, K. Kawabe, E. J. King, Malik Rakhmanov, R. L. Savage, D. Sigg
Physics and Astronomy Faculty Publications and Presentations
We use doubly phase modulated light to measure both the length and the linewidth of an optical resonator with high precision. The first modulation is at RF frequencies and is set near a multiple of the free spectral range, whereas the second modulation is at audio frequencies to eliminate offset errors at DC. The light in transmission or in reflection of the optical resonator is demodulated while sweeping the RF frequency over the optical resonance. We derive expressions for the demodulated power in transmission, and show that the zero crossings of the demodulated signal in transmission serve as a precise …