Frequency noise characterisation of narrow linewidth diode lasers
Introduction
Narrow linewidth and highly stable lasers are critically important in fields as diverse as optical communications, laser cooling and atomic frequency standards. When designing a laser system, the identification and removal of frequency noise sources is crucial to narrowing the linewidth. Accurate measurement of the laser frequency stability is also often required as an experimental parameter.
External cavity diode lasers (ECDLs) are a common example of such narrow linewidth lasers [1]. ECDLs use semiconductor diode lasers in an external cavity with dispersive feedback, often from a diffraction grating. The linewidth is greatly reduced with respect to the diode alone, and the laser can be tuned through the broad gain curve of the diode.
ECDLs exhibit varying forms of frequency noise from environmental, fundamental, and artificial sources. Environmental noise includes 50 or 60 Hz power-line-induced noise, and acoustically coupled noise, in particular at frequencies corresponding to mechanical resonances. Fundamental noise is typically dominated by white phase noise at high frequencies and flicker frequency noise (also known as 1/f noise or pink noise) at low frequencies [2]. The flicker frequency noise is often the dominant component of the linewidth, and so it is common practice to stabilise the laser to an external frequency reference, for example a Fabry–Perot etalon or sub-Doppler atomic resonance. The feedback systems usually rely on dithering the laser frequency [3] or the reference frequency [4], but in both cases it is common to find significant noise at the dither frequency, thus introducing an artificial source of frequency noise.
Section snippets
Measurement of laser frequency noise
Laser frequency noise may be measured directly at the optical frequency, or by heterodyning to a reference laser.
Analysis of radio frequency spectra
Frequency noise analysis of the beat signal can provide this information, either in the frequency domain or in the time domain. The beat note signal produced by lasers with frequency difference ν0 has voltagewhere V0(t) describes amplitude fluctuations of the two lasers and φ(t) is the difference of the individual phases. The instantaneous beat frequency iswith frequency fluctuations Δν(t)≪ν0.
Phase-locked loop frequency discriminator
The frequency noise spectrum may be recovered directly from the beat signal with a frequency discriminator which outputs a voltage proportional to Δν(t), with minimal dependence on amplitude fluctuations V0(t). The power spectral density of this voltage, for example acquired with an audio frequency spectrum analyser, is SΔν.
Previous experiments using discriminators have required complex rf electronics [12] and suffered from poor spectral resolution [13]. We describe a simple frequency
Conclusion
These results show that phase-locked loop frequency discrimination provides an unambiguous and high-resolution frequency noise spectrum using common laboratory test equipment. The frequency discriminator separates frequency noise from intensity noise, which is particularly valuable in characterising diode laser systems. In contrast with Allan variance analysis, electronic, mechanical and acoustic noise sources may be clearly identified and observed in real time. The method is applicable to
Acknowledgements
We would like to thank Zivko Jovanovski for his expert construction and testing of the radio frequency electronics. This work was supported by the Australian Research Council and conducted with the assistance of the Australian Postgraduate Award scheme (LDT, KPW, CJH).
References (16)
- et al.
Opt. Commun.
(1990) - et al.
Opt. Commun.
(1992) - et al.
Opt. Commun.
(1991) - et al.
Opt. Commun.
(1995) - et al.
Opt. Commun.
(1998) - et al.
Rev. Sci. Instrum.
(1991) - et al.
J. Opt. Soc. Am. A
(2000) - et al.
Opt. Commun.
(1996)