2194 IEEE PHOTONICS TECHNOLOGY LETTERS, VOL. 18, NO. 21, NOVEMBER 1, 2006 All-Fiber Picosecond Laser System at 1.5 m Based on Amplification in Short and Heavily Doped Phosphate-Glass Fiber Pavel Polynkin, Alexander Polynkin, Dmitriy Panasenko, N. Peyghambarian, and Jerome V. Moloney Abstract—Amplification of ultrashort pulses in doped fibers is limited by an onset of nonlinear effects in the fiber. At the 1.5- m wavelength, single-mode fibers typically have anomalous dispersion. The self-phase modulation combined with dispersion leads to instability of multinanojoule pulses in such fibers. Various techniques developed to amplify pulses beyond the nonlinearity limit typically rely on a delicate balance between dispersive and nonlinear effects in different parts of the laser system. We report a simple all-fiber alternative to these complex techniques that utilizes a rapid amplification of pulses in a short and heavily doped phosphate-glass active fiber. In our preliminary experiments, picosecond pulses at 1.5 m generated by a passively mode-locked fiber oscillator at a repetition rate of 70 MHz are amplified in a 15-cm-long heavily Er–Yb codoped fiber amplifier to the average output power of 1.425 W. The pulse energy and peak power reach 20.4 nJ and 16.6 kW, respectively, while the pulse distortion is minimal in both temporal and spectral domains. Further power up-scaling is possible by using active phosphate fiber with a large mode area, in the amplifier stage. Index Terms—Fiber lasers, mode-locked lasers, solitons. I. INTRODUCTION IGH-POWER fiber sources of ultrashort pulses in the infrared have potential applications in diverse areas such as material processing, nonlinear optics, biomedical imaging, and optical frequency metrology. The wavelength range around 1.5 m is of a particular interest because inexpensive and reliable photonic components developed for optical communications can be utilized, and because frequency doubling of light at 1.5 m generated by a fiber source will result in a portable alternative to bulky and expensive Ti : sapphire laser [1], [2]. Increasing the pulse energy and peak power by straightforward amplification in an Er-doped fiber is limited by the onset of nonlinear processes in the fiber. In particular, when the fiber has anomalous dispersion which is typically the case around the 1.5- m wavelength, the combined action of self-phase modulation (SPM) and dispersion leads to a breakup of the pulses into fundamental soliton components [3]. Various techniques developed to overcome the limitations imposed by fiber nonlinearity typically rely on a delicate balance between nonlinear and dispersive effects in different parts of the optical system and frequently resort to using free-space optic elements. The examples H Manuscript received April 21, 2006. This work was supported by the U.S. Air Force Office of Scientific Research under Contract F49620-02-1-0380. P. Polynkin, A. Polynkin, D. Panasenko, and N. Peyghambarian are with the College of Optical Sciences, The University of Arizona, Tucson, AZ 85721 USA (e-mail: [email protected]). J. V. Moloney is with the Arizona Center for Mathematical Science, The University of Arizona, Tucson, AZ 85721 USA. Digital Object Identifier 10.1109/LPT.2006.884242 of such techniques previously used at the 1.5- m wavelength include self-similar pulse evolution [4], chirped pulse amplification [2], [5], and generation of Raman-shifted solitons in the fiber amplifier [1], [6]. Further, to reduce the aerial power density in the core of the active fiber and the associated nonlinearity, it is common to use active fibers with large-mode areas. Such fibers can be either multimode step-index fibers in combination with appropriate mode converters [1] or microstructured fibers [7]. To the best of our knowledge, the highest peak power produced by direct amplification of ultrashort pulses at 1.5 m in a doped fiber is 54 kW [7]. It has been achieved by using a 9-m-long microstructured active fiber in the double-pass configuration. The mode size in the active fiber was 26 m, three times as large as that in a standard single-mode step-index fiber at that wavelength. The pulse dynamics in the experiment reported in [7] was complex and involved a change of the order of the propagating soliton as well as the soliton self-frequency shift resulting in a substantial distortion of the optical spectrum. In this letter, we report a simple alternative to the techniques developed previously, that utilizes amplification of pulses in a short and heavily doped active fiber made of soft phosphate glass. When used as a gain medium in a multimode continuous-wave laser oscillator, such a fiber has been demonstrated to generate as much as 1.33 W of power at 1.5 m per centimeter of fiber [8]. In the preliminary experiments reported here, the heavily doped phosphate fiber is used to amplify picosecond pulses at 1.5 m so rapidly that no significant pulse distortion develops in either temporal or spectral domain. Our all-fiber fully spliced system is modular in a sense that the short phosphate-fiber amplifier is not tailored to a particular input signal from the oscillator stage. The energy and peak power of the pulses produced by the system are 20.4 nJ and 16.6 kW, respectively. The demonstrated peak power is not quite as high as 54 kW reported in [7]. Further power up-scaling is feasible by using active phosphate fiber with a large mode area in the amplifier stage. II. DESIGN OF THE ALL-FIBER PICOSECOND LASER SYSTEM The high-power picosecond laser system reported here is shown schematically in Fig. 1. The seed pulses are generated by a passively mode-locked fiber laser oscillator which is similar in construction to the polarization-maintaining (PM) oscillator reported in [9]. The fully spliced fiber cavity of the oscillator consists of 1-m-long passive PM fiber, 20-cm-long passive single-mode fiber (SMF-28), and 12.5-cm-long active phosphate fiber. The core of the active fiber is 14 m in diameter and it is uniformly doped with 1041-1135/$20.00 © 2006 IEEE POLYNKIN et al.: ALL-FIBER PICOSECOND LASER SYSTEM AT 1.5 m BASED ON AMPLIFICATION 2195 Fig. 1. Schematic diagram of the high-power all-fiber picosecond laser system based on heavily doped phosphate-glass active fiber. ions/cm of Er and ions/cm of Yb . These concentrations are by at least an order of magnitude higher than those possible without clustering in fused silica. The phosphate fiber has numerical aperture of 0.08 and the V-number of 2.3 at the signal wavelength, which indicates that the fiber is marginally single-mode. The active fiber is cladding-pumped by multimode laser diodes operating at 975 nm, using a scalable side-pumping scheme described in detail elsewhere [10]. The oscillator cavity is terminated by a butt-coupled semiconductor saturable absorber mirror (SESAM) from one side and by a chirped fiber Bragg grating from the other. The grating has an 8.2-nm-wide reflection bandwidth (full-width at halfmaximum) which is centered at 1558 nm, and a peak reflection coefficient of 10%. The dispersion of the chirped grating is 0.045 ps/nm. The overall cavity dispersion of the oscillator is close to zero but slightly anomalous. The round-trip loss in the oscillator cavity is 13 dB. It is dominated by the useful 10-dB loss at the output coupler. The remaining loss results from the mode mismatch at the splice points between the active phosphate fiber and the passive fibers ( 2 dB total for two splices encountered twice per cavity round-trip) and the nonsaturable loss of the SESAM (1 dB). The SESAM that starts the mode-locked operation of the oscillator and shapes the pulses has a nonresonant design and a bitemporal time-response, with the fast and slow recovery time constants of less than 500 fs and 25 ps, respectively. The saturable absorption of the SESAM is 30%. Non-PM fiber sections of the oscillator cavity are kept straight so that the polarization eigenmodes of the cavity are close to the two linear polarizations along the birefringence axes of the PM-fiber. In operation, the intracavity polarization of the oscillator locks to one of these linearly polarized modes. Slight polarization disturbances in the cavity as well as upon reflection off the SESAM are compensated for by adjusting a manual polarization controller mounted on the 20-cm-long SMF section. The fundamental repetition rate of the oscillator is 70 MHz corresponding to the total cavity length of 1.5 m. Optical signal generated by the oscillator is amplified in a short phosphate-fiber amplifier. A fiber-pigtailed optical isolator is spliced between the oscillator and amplifier stages to block spurious backreflections from the amplifier stage into the Fig. 2. (a) Intensity autocorrelation and (b) optical spectrum on a linear scale, for the pulses generated by the oscillator. oscillator. A fraction of about 20% of the output power from the oscillator is split off for monitoring. The gain fiber and the pumping method used in the amplifier are identical to those in the oscillator, but the length of the active phosphate fiber in the amplifier is 15 cm. One of the intended uses for our system is all-fiber supercontinuum generation in highly nonlinear passive fibers. Accordingly, for ease of fusion-splicing of various nonlinear fibers to the output of the amplifier, the latter is pigtailed by a 10-cm-long strand of a passive SMF (SMF-28). To avoid backreflections, the splice between the passive pigtail fiber and the gain fiber is performed on fibers cleaved at an angle. The output end of the passive fiber pigtail is angle-cleaved as well. III. EXPERIMENTAL RESULTS AND DISCUSSION The laser threshold for the oscillator occurs when it is pumped with 2 W of launched pump power at 975 nm. When pumped with 4 W, the oscillator is stably mode-locked and produces 60 mW of average output power at 1.5 m. The intensity autocorrelation and the optical spectrum of the pulses generated by the oscillator at this point are shown in Fig. 2. Assuming the sech pulse shape, the pulsewidth is estimated at 1.1 ps, indicating that the oscillator produces nearly perfect hyperbolic secant pulses with the time-bandwidth product of 0.32. The pulse energy at the output of the oscillator is 0.86 nJ, and the peak pulse power is estimated at 700 W. The absence of multipulsing was verified by recording the long-range intensity autocorrelation, and by detecting the output optical signal with a fast InGaAs photodiode and observing the resulting waveform with an oscilloscope. Note that the oscillator stage is capable of producing a much higher average power than 60 mW, but as we verified, above that power level, the output pulses became unstable and started to break up in the passive 1-m-long fiber link connecting the oscillator and the amplifier stages. Thus, we chose to operate the oscillator at the 60-mW power level even though pumping it harder would better saturate the amplifier. 2196 IEEE PHOTONICS TECHNOLOGY LETTERS, VOL. 18, NO. 21, NOVEMBER 1, 2006 , and that from the passive fiber pigtail is . (In the calculation, we assumed that the nonlinear refractive index m /W for both phosphate glass and fused silica, and that the mode-field diameters are 14 and 10 m for the phosphate and silica fibers, respectively.) Thus, the total nonlinear phase acquired by the pulses after propagating through ) which is close to the estimathe amplifier is equal to ( tion based on the shape of the distorted optical spectrum. Note that the spectral distortion is very moderate even though the aerial power density in the fiber core at the output of the amplifier is 21 GW/cm , which is to the best of our knowledge the highest in-fiber power density ever produced by an ultrafast all-fiber system at 1.5 m. Clearly, higher average and peak power could be generated by using a large-core active phosphate fiber combined with an appropriate mode converter, in the amplifier stage. IV. CONCLUSION Fig. 3. (a) Intensity autocorrelation and (b) optical spectrum on a linear scale, for the amplified pulses, at the highest output power. An 80% fraction of the signal produced by the oscillator is sent to the amplifier stage. The latter amplifies the signal to 1.425 W of average output power when pumped with maximum available pump power of 20 W at 975 nm. At this point, the amplifier produces 14.5 dB of gain, and the output pulse energy reaches 20.4 nJ. The intensity autocorrelation of the pulses and the optical spectrum at the highest output power are shown in Fig. 3. The autocorrelation trace suggests that the pulses developed a small satellite and became slightly narrowed. Note that these features appeared gradually as the power level was increased. From the data, the fraction of the total pulse energy carried by the satellite pulse can be estimated at 10%. Further, assuming that the pulse shape remains close to hyperbolic secant, we estimate the pulsewidth at 975 fs, and the peak pulse power at the output of the amplifier at 16.6 kW. Amplification of ultrashort pulses in doped silica fibers to multinanojoule level is typically accompanied by a dramatic distortion of the optical spectrum [2], [4], [7]. In our case, the spectrum distortion is considerably less pronounced although it is clearly noticeable. By comparing the shape of the spectrum to the SPM-broadened spectra calculated in [11], we estimate the amount of the SPM-induced nonlinear phase (or B-integral) at . For more accurate estimation of the nonlinear phase, we assume that the signal power grows in the amplifier exponentially. Then at the highest power, the amplifier gain per unit length is 0.22/cm, and the corresponding effective length of the amplifier is 4.5 cm. Thus, the main contribution to the nonlinear phase results from propagation of the amplified pulses in the 10-cm-long passive fiber pigtail. Using the estimated maximum peak power of 16.6 kW, we find that the contribution to the nonlinear phase from the active fiber in the amplifier is We have reported a practical all-fiber system for generation of picosecond pulses with high energy and high peak power at 1.5 m. In our system, a rapid amplification of the modelocked pulses in a short and heavily doped phosphate-glass fiber resulted in clean amplified pulses with a minimal amount of distortion. This approach offers a simple alternative to the more complex techniques developed previously. REFERENCES [1] M. Hofer, M. E. Fermann, A. Galvanauskas, D. Harter, and R. S. Windeler, “High-power 100-fs pulse generation by frequency doubling of an erbium-ytterbium-fiber master oscillator power amplifier,” Opt. Lett., vol. 23, pp. 1840–1842, Dec. 1998. [2] C. J. S. De Matos, R. E. Kennedy, S. V. 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