Abstract

We propose a novel scheme, based on digital-heterodyne optical phase-locked loop with whole-fiber circuit, to dynamically measure the free-spectral-range of a fiber resonator. The optical phase-locked loop is established with a differential frequency-modulation module consists of a pair of acousto-optic modulators. The resonance-tracking loop is derived with the Pound-Drever-Hall technique for locking the heterodyne frequency of the OPLL on the frequency difference between adjacent resonance modes. A stable locking accuracy of about 7 × 10?9 and a dynamic locking accuracy of about 5 × 10?8 are achieved with the FSR of 8.155 MHz, indicating a bias stability of the resonator fiber optic gyro of about 0.1?/h with 10 Hz bandwidth. In addition, the thermal drift coefficient of the FSR is measured as 0.1 Hz/?C. This shows remarkable potential for realizing advanced optical measurement systems, such as the resonant fiber optic gyro, and so on.

Highlights

  • Optical resonators have been widely studied and applied in many areas of photonics, such as narrow-linewidth laser sources, optical frequency combs, optical filters, and resonant optic gyroscopes, and so on [1] [2] [3] [4] [5]

  • We propose a novel scheme, based on digital-heterodyne optical phase-locked loop with whole-fiber circuit, to dynamically measure the free-spectral-range of a fiber resonator

  • A technique based on a narrow linewidth (1 KHz) laser source has been demonstrated with subhertz accuracy [15], in which a previously demonstrated technique based on the Pound-Drever-Hall (PDH) error signal is improved in accuracy by the use of a narrow linewidth laser swept in frequency via an acousto-optic modulator, or single sideband generation

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Summary

Introduction

Optical resonators have been widely studied and applied in many areas of photonics, such as narrow-linewidth laser sources, optical frequency combs, optical filters, and resonant optic gyroscopes, and so on [1] [2] [3] [4] [5]. A technique based on a narrow linewidth (1 KHz) laser source has been demonstrated with subhertz accuracy [15], in which a previously demonstrated technique based on the Pound-Drever-Hall (PDH) error signal is improved in accuracy by the use of a narrow linewidth laser swept in frequency via an acousto-optic modulator, or single sideband generation. These methods mentioned above show convenient manners for measuring the FSR, it is a remarkable fact that these methods combining a modulator and a reference interferometer require laser frequency sweeping, where the nonlinearity could introduce systematic measurement error [16]. The thermal drift coefficient of the FSR is measured as 0.1 Hz/ ̊C, which is matched well with the academic result

Dynamic FSR Measurement Scheme
Digital-Heterodyne Optical Phase-Locked Loop
Experiments and Conclusions
Summary
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