Ultrashort Pulses
Definition: optical pulses with durations of picoseconds or less
More general term: light pulses
German: ultrakurze Pulse
light pulsesAuthor: Dr. Rüdiger Paschotta
Cite the article using its DOI: https://doi.org/10.61835/41l
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Light pulses as generated in mode-locked lasers can be extremely short, especially with passive mode locking. There is no universally accepted definition of “ultrashort”, but the term usually is applied to pulses whose pulse duration is at most a few tens of picoseconds, and often even in the range of femtoseconds.
Ultrashort pulses (or the lasers that produce them) are sometimes called “ultrafast” – even though these pulses are no faster (have no higher velocity) than longer pulses. However, they do have short rise and fall times, and they make it possible to investigate ultrafast processes (→ ultrafast optics). They can also be used for fast optical data transmission, where “fast” means a high data rate, not a high velocity.
Generation of Ultrashort Pulses
Ultrashort light pulses are usually generated with passively mode-locked lasers, but sometimes also with optical parametric amplifiers (possibly using a supercontinuum as input) or with free electron lasers. It is in principle also possible to start with longer pulses and apply some method of pulse compression, but in most cases the input pulses for such compression are already ultrashort.
The article on ultrafast lasers lists some important areas of ultrashort pulse generation, including the generation of few-cycle pulses, where the pulse duration is only a small multiple of an optical cycle (few-cycle pulses).
Case Study: Parabolic Pulses in a Fiber Amplifier
We explore the regime of parabolic pulse amplification in an Yb-doped single-mode fiber. We find suitable system parameters and investigate limiting effects.
Optical Bandwidth
Intrinsically, ultrashort pulses have a broad optical bandwidth. Even if they are instantaneous frequency is nearly constant throughout the pulse duration, the optical spectrum has a width which is at least of the order of the inverse pulse duration. This is essentially because e.g. for resonantly exciting some medium, a change of optical frequency matters only if it is large enough to cause a significant phase change within the pulse duration [1]. That is the case only if the frequency change is of the order of the inverse pulse duration.
In many cases, the instantaneous frequency of a pulse is approximately constant, and the time–bandwidth product is somewhat below unity. For example, an unchirped Gaussian pulse with a 1 ps pulse duration (full width at half maximum) has an optical bandwidth of ≈0.44 THz. Extremely short pulses (few-cycle pulses) can even have octave-spanning optical spectra, and are thus very far from being monochromatic.
Spatial Properties and Propagation
Concerning their spatial properties, ultrashort pulses are usually generated in the form of laser beams. Essentially, they can be focused to very small spots just as it is possible with stationary beams. However, various limitations come into play particularly in the regime of few-cycle pulses. For example, the broad optical bandwidth of such pulses leads to problems with the chromatic dispersion of lens materials, which leads to chromatic aberrations of the focusing optics unless special correction techniques are employed. This can lead to complicated spatio-temporal effects, which may effectively make the focused pulses longer than the pulses before focusing. Possible measures against such distortions include the use of reflective or diffractive (instead of refractive) optics as well as the careful compensation of various types of aberrations, e.g. using suitable lens combinations.
The propagation of ultrashort pulses in media gives rise to a range of interesting phenomena, particularly when optical nonlinearities are involved. This can be investigated with pulse propagation modeling. Relevant physical effects in such models can be chromatic dispersion, the Kerr effect, Raman scattering, and gain saturation, to name just some important examples. While in many cases purely one-dimensional models (ignoring much of the spatial aspects) can be used, full 3D models are needed for certain situations.
Passive Fiber Optics
Part 12: Ultrashort Pulses and Signals
We discuss how ultrashort pulses and signals propagate in fibers, with effects of chromatic dispersion and nonlinearities.
Case Study: Collision of Soliton Pulses in a Fiber
We let two soliton pulses collide in a fiber. Surprisingly, they survive such collisions, even if we involve solitons of higher order.
Case Study: Soliton Pulses in a Fiber Amplifier
We investigate to which extent soliton pulses could be amplified in a fiber amplifier, preserving the soliton shape and compressing the pulses temporally.
Case Study: Raman Scattering in a Fiber Amplifier
We investigate the effects of stimulated Raman scattering in an ytterbium-doped fiber amplifier for ultrashort pulses, considering three very different input pulse duration regimes. Surprisingly, the effect of Raman scattering always gets substantial only on the last meter, although the input peak powers vary by two orders of magnitude.
Shaping Ultrashort Pulses
When ultrashort pulses are generated in a mode-locked laser, instead laser they can be subject to various pulse shaping phenomena. For example, a saturable absorber causes high losses to the beginning and sometimes also the end of the pulse, and can thus modify the duration and shape of a pulse. The effects of optical nonlinearities and chromatic dispersion, however, are often much stronger than those of saturable absorbers.
Outside the laser, ultrashort pulses can further be manipulated with various kinds of pulse shapers.
Case Study: Nonlinear Pulse Compression in a Fiber
We explore how we can spectrally broaden light pulses by self-phase modulation in a fiber and subsequently compress the pulses using a dispersive element. A substantial reduction in pulse duration by more than an order of magnitude is easily achieved, while the pulse quality is often not ideal.
Characterization of Ultrashort Pulses
There are various methods for pulse characterization. While some only allow the measurement of fundamental pulse parameters such as the pulse duration, others can be used for “complete” characterization in the sense that the whole time-dependent electric field and the spectral phase can be obtained. The results can be visualized in various ways, e.g. with graphs of time- or frequency-dependent functions, or with spectrograms.
Most frequently, one measures pulse durations using autocorrelators.
More to Learn
- Case Study: Parabolic Pulses in a Fiber Amplifier
- Case Study: Collision of Soliton Pulses in a Fiber
- Case Study: Soliton Pulses in a Fiber Amplifier
- Case Study: Raman Scattering in a Fiber Amplifier
- Case Study: Nonlinear Pulse Compression in a Fiber
Encyclopedia articles:
Blog articles:
Bibliography
| [1] | Spotlight article of 2007-10-11: "Understanding Fourier Spectra" |
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