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Additive-pulse Mode Locking

Acronym: APM

Definition: a technique for mode locking a laser, using a nonlinear interaction in an external resonator

Alternative term: coupled-cavity mode locking

More general term: mode locking

Category: light pulseslight pulses

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Cite the article using its DOI: https://doi.org/10.61835/7z8

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Additive-pulse mode locking [1, 2] (sometimes also called coupled-cavity mode locking) is a technique for passive mode locking of lasers (typically bulk lasers), used for generating short optical pulses with durations of picoseconds or femtoseconds.

The general principle of additive-pulse mode locking is to obtain an artificial saturable absorber by exploiting nonlinear phase shifts in a single-mode fiber. The fiber is contained in a resonator, which has the same round-trip time as the laser resonator and is coupled to it with a semi-transparent dielectric mirror. The pulses returning from the fiber resonator into the main laser resonator interfere with those pulses which already are in the main resonator. For proper adjustment of the resonator lengths, there is constructive interference near the peak of the pulses, but not in the wings because the latter have acquired different nonlinear phase shifts in the fiber. As a result, the peak of the circulating pulse is enhanced, whereas the wings are attenuated.

additive-pulse mode-locked laser
Figure 1: Schematic setup of an additive-pulse mode-locked laser.

The strength of the APM technique is that it makes it possible to obtain fairly short pulses without using very special optical components. It can also work in different wavelength regions. For these reasons, additive-pulse mode locking was widely used in the early days of passively mode-locked lasers; it was applied to various bulk lasers, color center lasers, and fiber lasers. However, the resonator length adjustment is usually rather critical, questioning the practicability of the technique for commercial products. In some mode-locked high-power lasers, additive-pulse mode locking was reported to be self-adjusting, but the exact mechanism does not seem to have been reported. In some fiber lasers, APM has been reported to occur with self-matched resonator lengths due to an automatic adjustment of the oscillation wavelength [8].

A Modified Scheme for Fiber Lasers

Additive mode locking can also be applied to mode-locked fiber lasers in different forms. In particular, one can use a nonlinear fiber loop mirror, often also containing a piece of active fiber, which provides a power-dependent transmission to an output port or power-dependent reflection. The fiber loop mirror contains a fiber coupler, which is first use for splitting a pulse into two, propagating through the ring in opposite directions, and then for interferometrically combining them again. In effect, this is quite similar to what happens in the above described type of bulk laser, although in the latter case one has a nonlinear resonator which is not a ring resonator.

Another frequently used technique is based on nonlinear polarization rotation in a fiber. That method is also somewhat related to additive-pulse mode locking, although an external resonator is not required. Two polarization modes, which are coupled with each other by nonlinear effects, are interferometrically combined at a polarizing element, where a similar interference effect occurs as in additive-pulse mode locking.

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Bibliography

[1]J. Mark et al., “Femtosecond pulse generation in a laser with a nonlinear external resonator”, Opt. Lett. 14 (1), 48 (1989); https://doi.org/10.1364/OL.14.000048
[2]E. P. Ippen et al., “Additive pulse mode locking”, J. Opt. Soc. Am. B 6 (9), 1736 (1989); https://doi.org/10.1364/JOSAB.6.001736
[3]L. Y. Liu et al., “Self-starting additive-pulse mode locking of a Nd:YAG laser”, Opt. Lett. 15 (10), 553 (1990); https://doi.org/10.1364/OL.15.000553
[4]F. Krausz et al., “Self-starting additive-pulse mode locking of a Nd:glass laser”, Opt. Lett. 15 (19), 1082 (1990); https://doi.org/10.1364/OL.15.001082
[5]K. Tamura et al., “Self-starting additive pulse modelocked erbium fibre ring laser”, Electron. Lett. 28, 2226 (1992); https://doi.org/10.1049/el:19921430
[6]H. A. Haus et al., “Additive-pulse modelocking in fiber lasers”, IEEE J. Quantum Electron. 30 (1), 200 (1994); https://doi.org/10.1109/3.272081
[7]L. E. Nelson et al., “Ultrashort-pulse fiber ring lasers”, Appl. Phys. B 65, 277 (1997); https://doi.org/10.1007/s003400050273
[8]D. W. Huang et al., “Fiber-grating-based self-matched additive-pulse mode-locked fiber lasers”, IEEE J. Quantum Electron. 35 (2), 138 (1999); https://doi.org/10.1109/3.740734

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