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In amplifiers for ultrashort optical pulses, the optical peak intensities that occur can become very high, so that detrimental nonlinear pulse distortion or even destruction of the gain medium or of some other optical element may occur. This can be effectively prevented by employing the method of chirped-pulse amplification (CPA), which was originally developed in the context of radar technology, but later applied to optical amplifiers :
Before passing through the amplifier medium, the pulses are chirped and temporally stretched to a much longer duration by means of a strongly dispersive element (the stretcher, e.g. a grating pair or a long fiber). This reduces the peak power to a level where the above-mentioned detrimental effects in the gain medium are avoided. After the gain medium, a dispersive compressor is used, i.e., an element with opposite dispersion (typically a grating pair), which removes the chirp and temporally compresses the pulses to a duration similar to the input pulse duration. As the peak power becomes very high at the compressor, the beam diameter on the compressor grating has to be large. For the most powerful devices, a beam diameter of the order of 1 m is required.
From Gigawatts to Terawatts and Petawatts
The method of chirped-pulse amplification has allowed the construction of table-top amplifiers which can generate pulses with millijoule energies and femtosecond durations, leading to peak powers of several terawatts. (1 TW = 1012 W, corresponding to the electric output of 1000 large nuclear power stations). For the highest peak powers in ultrashort pulses, amplifier systems consisting of several regenerative and/or multipass amplifiers are used, which are mostly based on titanium–sapphire crystals. Such amplifiers can be used e.g. for high harmonic generation in gas jets. Large-scale facilities even reach peak powers in the petawatt range (1 PW = 1000 TW = 1015 W). It is also possible to use optical parametric amplifiers (see below).
Stretcher and Compressor
Several aspects of dispersive stretchers and compressors can be of crucial importance:
- Particularly in fiber-based systems (see below), it is important to obtain long stretched pulses, with durations e.g. of the order of 1 ns, in order to minimize nonlinear effects in the fiber amplifier. This requires a large difference of group delay within the optical spectrum of the input pulses. Strong stretching and compression is possible e.g. with pairs of diffraction gratings, or with fiber Bragg gratings and volume Bragg gratings. A simple Treacy compressor  can provide anomalous dispersion, whereas a Martínez-type setup containing two lenses between the gratings  can provide normal dispersion.
- At least for high-energy systems, the compressor needs to tolerate high optical peak powers without introducing nonlinear distortions. Grating compressors are good in this respect, since they can be operated with large mode areas, while the use of fiber Bragg gratings limits the pulse energy to well below 1 μJ. Volume Bragg gratings allow for higher energies, but are difficult to fabricate with large thickness and length.
- The optical losses, which are relevant particularly in the compressor, can be substantial. For example, when ordinary diffraction gratings are used for the compressor, the four reflections on gratings can easily cause a loss of ≈ 50%. In order not to lose half of the output power, special transmission gratings, fabricated with electron beam lithography, have been developed with losses of only ≈ 3% or even less per reflection (at least for one polarization direction). Another approach for reducing the compressor losses is downchirped-pulse amplification, where (e.g. for the 1-μm spectral region) the stretcher has anomalous dispersion, so that the compressor can be a simple glass block with normal dispersion.
- The quality of recompression depends on a good match between the dispersive properties of stretcher and compressor, and may also be spoiled by residual nonlinear effects and possibly by chromatic dispersion in the amplifier. Grating compressors introduce substantial amounts of higher-order dispersion, which is difficult to match with dispersive fibers, but tailored nonlinearly chirped fiber Bragg gratings can be a solution.
- The total amount of chromatic dispersion required in the stretcher and the compressor also depends on the initial pulse bandwidth, which should thus not be too small. On the other hand, very large bandwidths introduce problems with matching higher-order dispersion, and gain narrowing in the amplifier is another issue. Therefore, CPA systems work best for pulse durations between roughly 20 fs and a few hundred femtoseconds.
Depending on the performance required and on other requirements, different types of stretchers and compressors can present the best solution. The highest performance is achieved if at least the compressor is made with bulk diffraction gratings.
Fiber Versus Bulk Amplifiers
The concept of chirped-pulse amplification is also applied to fiber amplifiers. Due to the inherently high nonlinearity of long fibers, CPA has to be applied already for relatively low pulse energies, and even with strong temporal stretching of the pulses, the achievable pulse energies remain limited to roughly 10 mJ. (Stretching the pulses to more than a few nanoseconds is not practical, and that pulse duration combined with a few megawatts of peak power, which is limited by catastrophic self-focusing, leads to the order of 10 mJ of energy.) However, high average powers of tens of watts or even > 100 W can be generated [11, 14]. Fiber-based CPA systems are therefore most suitable for high pulse repetition rates combined with high average powers. The fibers used for such systems should be optimized in various respects; they should have features such as a high gain per unit length, polarization-maintaining properties (strong birefringence) and core-less end caps.
All-fiber solutions are possible, but very limited in terms of pulse energy. Therefore, at least the compressor is often made with bulk-optical components. In the future, it may become possible to replace bulky diffraction gratings with volume Bragg gratings while still achieving high pulse energies.
See also the article on fiber lasers versus bulk lasers, touching upon various aspects which also apply to CPA systems.
Optical Parametric Chirped-pulse Amplification
The CPA concept is also applied to optical parametric amplifiers, and is then called optical parametric chirped-pulse amplification (OPCPA ). The article on optical parametric chirped-pulse amplification contains more details.
A Simple Variant
A simple variant of CPA can be realized with a fiber amplifier where the chirp of the pulses is automatically generated in the fiber, rather than with a pulse stretcher before the amplifier. This can occur in fibers with normal chromatic dispersion, where parabolic pulses are formed. Apart from not requiring a stretcher, an advantage of this method is that the chirp obtained is very close to linear. See the article on parabolic pulses for more details.
… and an Exotic Application
The CPA concept can also be utilized for semiconductor optical amplifiers (SOAs) . In that case, the duration of the stretched pulses can be well beyond the carrier lifetime of the amplifier. As a consequence, the achievable energy is no longer limited by the low saturation power of such amplifiers: the energy stored in the amplifier can replenished during amplification of the stretched pulse. This means that the main purpose of CPA is in that case not avoiding effects of Kerr nonlinearity and optical damage, but increasing the extractable energy. However, this energy is still low compared with that from amplifiers based on ion-doped gain media.
As mentioned above, CPA may not be practical for pulses with relatively long durations (several picoseconds or longer), since very large amounts of chromatic dispersion would be required in the stretcher and compressor. In this regime, the technique of divided-pulse amplification may be an interesting alternative.
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|||O. E. Martínez et al., “Negative group-velocity dispersion using refraction”, J. Opt. Soc. Am. A 1 (10), 1003 (1984)|
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|||T. Eidam et al., “Femtosecond fiber CPA system emitting 830 W average output power”, Opt. Lett. 35 (2), 94 (2010)|
|||L. G. Li et al., “Distortionless large-ratio stretcher for ultra-short pulses using photonic crystal fiber”, Opt. Express 18 (12), 12341 (2010)|
|||M. Y. Shverdin et al., “Chirped-pulse amplification with narrowband pulses”, Opt. Lett. 35 (14), 2478 (2010)|
|||T. Eidam et al., “Fiber chirped-pulse amplification system emitting 3.8 GW peak power”, Opt. Express 19 (1), 255 (2011)|
|||J. M. Mikhailova et al., “Ultra-high-contrast few-cycle pulses for multipetawatt-class laser technology”, Opt. Lett. 36 (16), 3145 (2011)|
|||Z. Wang et al., “High-contrast 1.16 PW Ti:sapphire laser system combined with a doubled chirped-pulse amplification scheme and a femtosecond optical-parametric amplifier”, Opt. Lett. 36 (16), 3194 (2011)|
|||C. Jocher et al., “Sub 25 fs pulses from solid-core nonlinear compression stage at 250 W of average power”, Opt. Lett. 37 (21), 4407 (2012)|
|||S. Keppler et al., “The generation of amplified spontaneous emission in high-power CPA laser systems”, Laser & Photonics Reviews 10 82), 264 (2016)|
|||R. Paschotta, case study on a chirped-pulse fiber amplifier|
|||R. Paschotta, tutorial on "Fiber Amplifiers", part 8 on ultrafast amplifiers|
|||R. Paschotta, tutorial on "Modeling of Fiber Amplifiers and Lasers"|
See also: amplifiers, dispersion, nonlinearities, nonlinear pulse distortion, laser-induced damage, ultrashort pulses, pulse compression, parabolic pulses, regenerative amplifiers, divided-pulse amplification
and other articles in the categories methods, light pulses
This encyclopedia is authored by Dr. Rüdiger Paschotta, the founder and executive of RP Photonics Consulting GmbH. Contact this distinguished expert in laser technology, nonlinear optics and fiber optics, and find out how his technical consulting services (e.g. product designs, problem solving, independent evaluations, or staff training) and software could become very valuable for your business!
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