Ultra-Narrow Laser Linewidth Measurement

(ABSTRACT) In this report, we give a deeper investigation of the loss-compensated recirculating delayed self-heterodyne interferometer (LC-RDSHI) for ultra-narrow linewidth measurement, including the theoretical analysis, experimental implementation, further modification on the system and more applications. Recently, less than 1kHz linewidth fiber lasers have been commercialized. But even the manufacturers face a challenge on accurately measuring the linewidth of such lasers. There is a need to develop more accurate methods to characterize ultra-narrow laser linewidth and frequency noises. Compared with other currently available linewidth measurement techniques, the loss-compensated recirculating delayed-heterodyne interferometer (LC-RDSHI) technique is the most promising one. It overcomes the bottleneck of the high resolution requirement on the delayed self-heterodyne interferometer (DSHI) by using a short length of fiber delay line. This method does not need another narrower and more stable laser as the reference which is the necessary component in heterodyne detection. The laser spectral lineshape can be observed directly instead of complicated interpretation in frequency discriminator techniques. The theoretical analysis of a LC-RDSHI gives us a guidance on choosing the optimal parameters of the system and assists us to interpret the recorded spectral lineshape. Laser linewidth as narrow as 700Hz has been proved to be measurable by using the LC-RDSHI method. The non-linear curve fitting of Voigt lineshape to separate Lorentzian and Gaussian components was investigated. Voigt curve fitting results give us a clear view on laser frequency noises and laser linewidth nature. It is also shown that for a ultra-narrow linewidth laser, simply taking 20dB down from the maximum value of the beat spectrum and dividing by 2 √ 99 will over estimate the laser linewidth and coherent length. Besides laser linewidth measurement in the frequency domain, we also implemented time-domain frequency noise measurement by using a LC-RDSHI. The long fiber delay obtained by a fiber recirculating loop provides a higher resolution of frequency noise measurement. iii However, spectral width broadening due to fiber nonlinearity, environmental perturbations and laser intrinsic 1/f frequency noises are still potential problems in the LC-RDSHI method. A new method by adding a transmitter switch and a loop switch is proposed to minimize the Kerr effect caused by multiple recirculation. iv Acknowledgments I would like to take this chance to express my sincere appreciations to people who offered me tremendous help and support in the past several years, especially, my adviser, Professor Anbo Wang. He provided me a great opportunity to do the …

[1]  N. Olsson,et al.  Erbium-Doped Fiber Amplifiers: Fundamentals and Technology , 1999 .

[2]  J. Weideman Computations of the complex error function , 1994 .

[3]  E. Desurvire,et al.  Erbium‐Doped Fiber Amplifiers: Principles and Applications , 1995 .

[4]  C. Henry Phase noise in semiconductor lasers , 1986 .

[5]  J. Goodman,et al.  Theory of laser phase noise in recirculating fiber-optic delay lines , 1985 .

[6]  New investigations on the effect of fiber amplifier phase noise , 2001 .

[7]  Bo Dong,et al.  Implementation of a loss-compensated recirculating delayed self-heterodyne interferometer for ultranarrow laser linewidth measurement. , 2006, Applied optics.

[8]  William J. Thompson,et al.  Numerous Neat Algorithms for the Voigt Profile Function , 1993 .

[9]  Frequency-noise sensitivity and amplitude-noise immunity of discriminators based on fringe-side Fabry-Perot cavities , 2002, IEEE Transactions on Ultrasonics, Ferroelectrics and Frequency Control.

[10]  J. A. Barnes,et al.  Tables of bias functions, B 1 and B 2 , for variances based on finite samples of processes with power law spectral densities , 1969 .

[11]  Robert E. Scholten,et al.  Frequency noise characterisation of narrow linewidth diode lasers , 2002 .

[12]  S. Saito,et al.  Evolution of field spectrum due to fiber-nonlinearity-induced phase noise in in-line optical amplifier systems , 1992, IEEE Photonics Technology Letters.

[13]  Nicolas Gisin,et al.  Statistical prediction and experimental verification of concatenations of fiber optic components with polarization dependent loss , 1998 .

[14]  Tomasz R. Wolinski,et al.  POLARIZATION IN OPTICAL FIBERS , 1999 .

[15]  C. Henry Theory of the phase noise and power spectrum of a single mode injection laser , 1983 .

[16]  Philippe Gallion,et al.  Quantum phase noise and field correlation in single frequency semiconductor laser systems , 1984 .

[17]  U. Keller,et al.  Optical phase noise and carrier-envelope offset noise of mode-locked lasers , 2006 .

[18]  Arne Svensson,et al.  Estimation of Phase Noise for QPSK Modulation over AWGN Channels , 2003 .

[19]  Goldberg,et al.  Theory of the fundamental laser linewidth. II. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[20]  B. Jacquier Rare Earth-Doped Fiber Lasers and Amplifiers , 1997 .

[21]  K. Iwatsuki,et al.  Spectral linewidth broadening in Er-doped-fibre amplifiers measured with less than 1.4 kHz linewidth light source , 1990 .

[22]  S. Ryu Signal linewidth broadening due to fibre nonlinearities in long-haul coherent optical fibre communication systems , 1991 .

[23]  J. P. Woerdman,et al.  Spectral signature of relaxation oscillations in semiconductor lasers , 1992 .

[24]  David N. Payne,et al.  Spectral broadening due to fibre amplifier phase noise , 1990 .

[25]  J. Arnaud,et al.  Classical theory of laser linewidth , 1996 .

[26]  K.J. Vahala,et al.  An improved delayed self-heterodyne interferometer for linewidth measurements , 1992, IEEE Photonics Technology Letters.

[27]  C. Audoin,et al.  Characterization of Frequency Stability: Uncertainty due to the Finite Number of Measurements , 1973 .

[28]  Circuit theory of laser diode modulation and noise , 1990 .

[29]  D. Marcuse Single-channel operation in very long nonlinear fibers with optical amplifiers at zero dispersion , 1991 .

[30]  Goldberg,et al.  Theory of the fundamental laser linewidth. , 1991, Physical review. A, Atomic, molecular, and optical physics.

[31]  David W. Allan,et al.  VARIANCES BASED ON DATA WITH DEAD TIME BETWEEN THE MEASUREMENTS , 1990 .

[32]  L. B. Mercer,et al.  1/f frequency noise effects on self-heterodyne linewidth measurements , 1990 .

[33]  Fritz Riehle,et al.  Frequency Standards: Basics and Applications , 2003 .

[34]  A quantum theoretical analysis of nonlinear phase noise , 1992, [Proceedings] Singapore ICCS/ISITA `92.

[35]  J. Gordon,et al.  Phase noise in photonic communications systems using linear amplifiers. , 1990, Optics letters.

[36]  D. W. Stowe,et al.  Polarization Fading in Fiber Interferometric Sensors , 1982 .

[37]  S. Rashleigh Origins and control of polarization effects in single-mode fibers (A) , 1982 .

[38]  S. Ryu,et al.  Signal linewidth broadening due to nonlinear Kerr effect in long-haul coherent systems using cascaded optical amplifiers , 1992 .

[39]  M.G. Taylor Observation of new polarization dependence effect in long haul optically amplified system , 1993, IEEE Photonics Technology Letters.

[40]  Bryan Kok Ann Ngoi,et al.  Techniques to eliminate error induced due to acousto-optic modulator vibration in heterodyne interferometry , 1999 .

[41]  E. Ip,et al.  Linewidth measurements of MEMS-based tunable lasers for phase-locking applications , 2005, IEEE Photonics Technology Letters.

[42]  C. Audoin,et al.  Correction to “characterization of frequency stability: Uncertainty due to the finite number of measurements” , 1976, IEEE Transactions on Instrumentation and Measurement.

[43]  L. Casperson,et al.  Principles of lasers , 1983, IEEE Journal of Quantum Electronics.

[44]  H. Tsuchida Simple technique for improving the resolution of the delayed self-heterodyne method. , 1990, Optics letters.

[45]  L. Palmieri,et al.  The exact statistics of polarization-dependent loss in fiber-optic links , 2003, IEEE Photonics Technology Letters.

[46]  C. Henry Theory of the linewidth of semiconductor lasers , 1982 .

[47]  R. Roy,et al.  Transmission of linearly polarized light through a single-mode fiber with random fluctuations of birefringence. , 1999, Applied optics.

[48]  M. Karlsson,et al.  The statistics of polarization-dependent loss in a recirculating loop , 2004, Journal of Lightwave Technology.

[49]  M Maurice Groten,et al.  Laser linewidth measurement in the presence of RIN and using the recirculating self heterodyne method , 1992 .

[50]  Govind P. Agrawal,et al.  Nonlinear Fiber Optics , 1989 .

[51]  Curtis R. Menyuk,et al.  Calculation of penalties due to polarization effects in a long-haul WDM system using a Stokes parameter model , 2001 .

[52]  Comparison between phase diffusion and random telegraph signal models of laser bandwidth , 1984 .

[53]  D. W. Allan,et al.  Statistics of atomic frequency standards , 1966 .

[54]  Dennis Derickson,et al.  Fiber optic test and measurement , 1998 .

[55]  R.S. Tucker,et al.  Microwave Circuit Models of Semiconductor Injection Lasers , 1982, 1982 IEEE MTT-S International Microwave Symposium Digest.

[56]  L. Moller,et al.  Novel aspects of spectral broadening due to fiber amplifier phase noise , 1998 .

[57]  Ivan P. Kaminow,et al.  Polarization in optical fibers , 1981 .

[58]  S. Newton,et al.  Spectral analysis of optical mixing measurements , 1989 .

[59]  O. Ishida Delayed-self-heterodyne measurement of laser frequency fluctuations , 1991 .

[60]  A. Mecozzi,et al.  The statistics of polarization-dependent loss in optical communication systems , 2002, IEEE Photonics Technology Letters.

[61]  Ming Han,et al.  Analysis of a loss-compensated recirculating delayed self-heterodyne interferometer for laser linewidth measurement , 2005 .

[62]  Vladimir I. Balakshy,et al.  Polarization effects in acousto-optic interaction , 1993 .