Q switching is a technique for obtaining energetic short (but not ultrashort) light pulses from a laser by modulating the intracavity losses and thus the Q factor of the laser resonator. The technique is mainly applied for the generation of nanosecond pulses of high energy and peak power with solid-state bulk lasers.
The generation of a Q-switched pulse (sometimes called a giant pulse) can be described as follows:
- Initially, the resonator losses are kept at a high level (i.e., above the laser gain, using active or passive means to be explained below), so that lasing is prohibited: there is hardly any light in the resonator. The energy fed into the gain medium by the pumping mechanism then accumulates there. The amount of stored energy is often limited only by spontaneous emission (particularly for continuous pumping), in other cases (with strong enough gain) by the onset of parasitic lasing or strong ASE, if not simply by the available pump energy. The stored energy can be a multiple of the saturation energy.
- Then, the resonator losses are suddenly reduced to a small value (well below the gain), so that the power of the laser radiation builds up very quickly in the laser resonator. This process typically starts with noise from spontaneous emission, which is amplified to macroscopic power levels within hundreds or thousands of resonator round trips.
- Once the temporally integrated intracavity power has reached the order of the saturation energy of the gain medium, the gain starts to be saturated. The peak of the pulse is reached when the gain equals the remaining (low) resonator losses. The large intracavity power present at that time leads to further depletion of the stored energy during the time where the power decays. Usually, the energy extracted after the pulse maximum is similar to that before the pulse maximum, and the resulting pulse shape is roughly symmetric.
The pulse duration achieved with Q switching is typically in the nanosecond range (corresponding to several resonator round trips), and usually well above the resonator round-trip time. The energy of the generated pulse is typically higher than the saturation energy of the gain medium and can be in the millijoule range even for small lasers. The peak power can be orders of magnitude higher than the power which is achievable in continuous-wave operation. Even for lasers with moderate size and with moderate focusing of the beam, the peak intensity can be sufficient for optical breakdown in air.
In most cases, Q-switched lasers generate regular pulse trains via repetitive Q switching. The pulse repetition rate is typically in the range from 1–100 kHz, sometimes higher. Passively Q-switched microchip lasers have reached pulse durations far below 1 ns and repetition rates up to several megahertz, whereas large (typically amplified) laser systems can deliver pulses with many kilojoules of energy and durations in the nanosecond range.
Lasers to which the Q-switching technique is applied are called Q-switched lasers. The first experimental demonstrations were performed in 1961 at Hughes Aircraft Company , shortly after the demonstration of the first laser in the same laboratory.
The resonator losses can basically be switched in different ways:
Active Q Switching
For active Q switching (Figure 1), the losses are modulated with an active control element (active Q switch), typically either an acousto-optic or electro-optic modulator. Here, the light pulse is formed shortly after an electrical trigger signal arrives. There are also mechanical Q switches such as spinning mirrors, used as end mirrors of laser resonators. In any case, the achieved pulse energy and pulse duration depends on the energy stored in the gain medium, i.e. on the pump power and the pulse repetition rate.
The Q switch is activated at <$t = 0$>. The power starts to rise exponentially at this point, but becomes high only after ≈ 0.2 μs. In practice, the delay time is often far longer than the pulse duration.
Interestingly, the switching time of the modulator does not need to be comparable to the pulse duration – it can be much longer than that, since it takes many resonator round trips for an intense pulse to be formed. If the switching time is too long, however, this may lead to double pulses or to certain instabilities.
For many applications, Q-switched pulses are generated in a periodic (repetitive) fashion, i.e., with a given pulse repetition rate. A Q-switch driver may contain an oscillator (or a digital device) for periodically triggering the pulse generation, or receive a periodic trigger signal (often with TTL format) from an external device. In some cases, a TTL input only indicates to the driver whether or not the periodic pulse train should be generated (with the timing determined by the driver itself). Some drivers have an analog input, allowing for the continuous control of Q-switch transmission.
In some laser applications, such as laser marking, the pulse train must be switched off for certain time intervals, while the pumping of the laser gain medium continues. This leads to a stronger accumulation of stored energy in the gain medium (compared with the situation of periodic pulse generation). Therefore, if one enables the pulse generation again, particularly the first pulse may require a substantially higher energy than in steady-state pulsing. Because the pulse duration is also decreased, the peak power rises even more. Those factors may lead to laser-induced damage either of laser components or any external objects, and they may disturb the process for which the pulses are used. To avoid such problems, one can either reduce the pump power during the times without pulse generation or take measures to introduce additional losses for the first few pulses. A common technique is to use the active Q-switch for that: instead of being fully switched off for pulse generation, it is only reduced in power, such that some substantial transmission losses remain, which correspondingly reduce the pulse energy. (Some Q-switch drivers offer such functionality.) The excess energy then goes into the diffracted beam, which may be safely disposed with a beam dump. An alternative technique is to reduce the stored energy by low-power lasing before the next pulse train begins; that can be achieved by slowly increasing the Q-switch transmission.
The pulse repetition rate of an actively Q-switched laser can be controlled via the modulator. Higher repetition rates typically lead to lower pulse energies, if the pump power is kept constant. At the same time, the pulses then become longer, as the initial laser gain becomes lower. For very high repetition rates, some pulses may be missing in the pulse train (pulse drop-out), if the gain cannot recover in time. For very low repetition rates, one may obtain rather short high-energy pulses, but once the pulse period exceeds the upper-state lifetime, increasing losses via spontaneous emission limit the possible pulse energy.
The duration of the generated pulses depends on the resonator round-trip time and on the initial round-trip net gain; a high initial net gain leads to fast pulse build-up, to higher energy extraction and usually also to a faster decay of power after the pulse maximum. The pulse duration is at least of the order of the resonator round-trip time, and often substantially longer than that, if the laser gain and/or the resonator losses are low.
Particularly for high pulse repetition rates, it can be difficult to obtain very short pulses because the then lower pulse energy leads to a weaker temporal modulation of the net gain. This problem can be solved by using the method of cavity dumping. Instead of using an ordinary output coupler mirror, the pulse generation phase is effectively done with a “closed” low-loss resonator. Once most of the stored energy has been transferred into the circulating pulse, the energy is suddenly released with the cavity dumper, which is a fast optical switch. In that way, the optical energy in the resonator can be extracted within one resonator round-trip time, independent of the time required for pulse build-up.
Passive Q Switching
For passive Q switching (sometimes called self Q switching), the losses are automatically modulated with a saturable absorber (Figure 2). Here, the pulse is formed as soon as the energy stored in the gain medium (and thus the gain) has reached a sufficiently high level. In many cases, the pulse energy and duration are then fixed (assuming complete recovery of the absorber between the pulses), and changes of the pump power only influence the pulse repetition rate.
Shortly after the laser gain exceeds the resonator losses, a short pulse is emitted. Once the absorber starts to be saturated, the power rises rapidly, until the gain is saturated to the level of the resonator losses (here: 10%).
A frequently used saturable absorber material for passive Q switching of 1-μm YAG lasers is Cr4+:YAG. For 1.5-μm erbium lasers, there are Co2+:MgAl2O4, Co2+:ZnSe and other cobalt-doped crystals, and glasses which are doped with PbS quantum dots. V3+:YAG crystals are suitable for the 1.3-μm region. Semiconductor saturable absorber mirrors can be applied at various wavelengths and are mostly used for lower pulse energies.
The recovery time of a saturable absorber is ideally longer than the pulse duration, so that additional unnecessary energy losses are avoided. However, the absorber should be fast enough to prevent premature lasing when the gain recovers. Typically, a recovery time somewhere between the pulse duration and the upper-state lifetime of the gain medium is ideal.
In principle, a saturable absorber may absorb only a minor fraction of the energy of the generated pulses, i.e., the absorber does not necessarily reduce the power efficiency of the laser substantially. A high efficiency is at least possible if (a) the saturation energy of the absorber is well below that of the laser gain medium, (b) the absorber exhibits negligible non-saturable losses, and (c) no additional loss channels such as ASE come into play. However, significant non-saturable losses are often encountered in real absorbers, and practical limitations such as damage thresholds may make it impossible to strongly reduce the absorber's saturation energy by using strong focusing. Therefore, the power efficiency is in practice often significantly reduced.
The pulse duration depends on the resonator round-trip time and on how strong the temporal modulation of the net gain is. The latter is essentially determined by the modulation depth of the used saturable absorber. For a higher modulation depth, one usually obtains pulses with a shorter duration and higher energy; both factors increase the peak power. Due to the stronger energy extraction, the time for replenishing the energy and generating the pulse will then also be increased.
Compared with active Q switching, passive Q switching is simple and cost-effective (eliminating the modulator and its electronics), and is suitable for very high pulse repetition rates. However, the pulse energies are typically lower. Also, external triggering of the pulses is not possible (except with an optical pulse from another source, an unusual technique), and it may also be a problem that the pulse energy and duration are often more or less independent of the pump power, which only determines the pulse repetition rate.
See the article on Q-switched lasers for more details on the method of Q switching.
Suitable Lasers for Q switching
Most doped insulator solid-state lasers are well suitable for Q switching, since their gain media have long upper-state lifetimes and high saturation energies, and hence the capability to store large amounts of energy. The basis is that their laser transitions are weakly forbidden transitions with correspondingly low transition cross-sections. Only that allows for a long radiative lifetime of the upper laser level.
For particularly short pulses (with durations far below 1 ns, possibly even below 100 ps), one can use microchip lasers, having a very short resonator. They can be passively or active Q-switched.
Semiconductor lasers, for example laser diodes, are also unsuitable for Q switching. They can be used for generating rather short pulses e.g. with gain switching, but only with rather low pulse energies.
Various Technical Issues
Beam Deflection Angle
The beam deflection angle of an acousto-optic Q-switch must be large enough such that the diffracted beam really leaves the resonator. In some cases, this leads to the demand of a high drive frequency of the Q-switch – e.g. 80 MHz, while 40 MHz is sufficient for other lasers. Critical cases are those with large beam divergence within the Q-switch.
Relation Between Repetition Rate and Pulse Duration
For both active and passive Q switching, higher pulse repetition rates usually imply longer pulses. This is because the reduced pulse energy leads to a weaker modulation of the net gain, and thus to a slower rise and decay of the optical power. When the pulse repetition rate of an actively Q-switched laser falls below the inverse upper-state lifetime, the maximum pulse energy is achieved, but the average power is reduced due to increased losses via fluorescence (spontaneous emission).
Continuous or Pulsed Pumping
Pumping does not have to occur in a continuous-wave fashion; it is also possible to use pulsed pumping with flash lamps or quasi-cw laser diodes, fired shortly before the Q switch is opened. This reduces the energy losses via spontaneous emission and thus allows the use of gain media with shorter upper-state lifetimes.
Noisy Pulse Start-up
In most cases, the pulses in a Q-switched laser are generated by amplifying noise from spontaneous emission in many resonator round trips. Therefore, there is usually no phase correlation between subsequent pulses, and the pattern of excited resonator modes can be random. Moreover, excitation of multiple modes results in the generation of beat notes, apparent as fast modulations on the Q-switched pulse envelope.
In some cases, however, a Q-switched laser is seeded e.g. with the output of a small single-frequency seed laser in order to obtain a low-noise single-frequency output, avoiding beat notes and reducing the noise overall (→ injection seeding). It is also possible to generate such a seed in the laser itself (self-injection seeding) from prelasing at a low power level.
Simulation of Laser Dynamics
The nonlinear dynamics of Q switching sometimes lead to unexpected phenomena, such as the generation of double pulses and/or certain instabilities. Numerical simulations of pulse generation can be very helpful in understanding such effects and identifying the right cure.
Note that the high pulse energies and peak powers obtained with Q switching can raise serious laser safety issues even for lasers with fairly small average output power. Also, the optical intensities can become high enough to destroy intracavity optical elements such as laser mirrors. It can therefore be necessary to use a resonator design which avoids any strongly focused beams on optical components – which can be challenging particularly for short laser resonators (as are desirable for short pulses) with large mode areas. Further, a Q-switched laser has to be kept very clean in order to avoid the burning of dust particles.
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|J. J. Degnan, “Optimization of passively Q-switched lasers”, IEEE J. Quantum Electron. 31 (11), 1890 (1995); https://doi.org/10.1109/3.469267
|C. Bollig et al., “Stable high-repetition-rate single-frequency Q-switched operation by feedback suppression of relaxation oscillation”, Opt. Lett. 20 (12), 1383 (1995); https://doi.org/10.1364/OL.20.001383
|G. J. Spühler et al., “Experimentally confirmed design guidelines for passively Q-switched microchip lasers using semiconductor saturable absorbers”, J. Opt. Soc. Am. B 16 (3), 376 (1999); https://doi.org/10.1364/JOSAB.16.000376
|F. Pirzio et al., “Assessment of broad usability of a simple analytic model for passively Q-switched lasers with Cr:YAG saturable absorbers”, J. Opt. Soc. Am. B 37 (6), 1659 (2020); https://doi.org/10.1364/JOSAB.392097
|R. W. Hellwarth, “Control of fluorescent pulsations”, in Advances in Quantum Electronics (ed. R. Singer), Columbia University Press, New York (1961), p. 334
|R. Paschotta, Field Guide to Laser Pulse Generation, SPIE Press, Bellingham, WA (2007)
|R. Paschotta, case study on an actively Q-switched Nd:YAG laser
See also: light pulses, pulse generation, modes of laser operation, cavity dumping, double pulses, Q-switched lasers, Q switches, acousto-optic Q switches, Q factor, injection seeding, gain switching, acousto-optic modulators, electro-optic modulators, Q-switching instabilities, Q-switched mode locking, mode locking, laser safety
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