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Tsunami - Beckman Institute Laser Resource Center

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I I il : I I I 1 I<br />

Appendix A<br />

Mode Locking<br />

General<br />

In this chapter, we provide a brief discussion of mode locking and the<br />

regenerative mode locking technique employed in the <strong>Tsunami</strong> laser. A<br />

description of the group velocity dispersion (GVD) found within the cavity<br />

is also presented, and the role of nonlinear effects (due to intense pulses<br />

passing through the gain medium) is considered. Finally, GVD compensation<br />

techniques employed within the <strong>Tsunami</strong> are discussed since they<br />

ultimately determine the output pulse width.<br />

In any laser system, the allowed oscillating wavelengths (or frequencies)<br />

are determined by two factors: the longitudinal modes determined by the<br />

laser cavity (subject to threshold conditions) and the gain-bandwidth of<br />

the laser medium. In a laser cavity, the electric field of the oscillating<br />

optical frequencies must repeat itself after one round-trip; i.e., the oscillating<br />

wavelengths must satisfy a standing wave condition in the laser cavity<br />

or an integral number of half-wavelengths must exactly fit between the end<br />

mirrors. The small group of frequencies that satisfy this condition are the<br />

longitudinal modes of the laser. The gain-bandwidth of the laser medium<br />

is determined by its atomic or molecular energy levels. Atomic gas lasers<br />

tend to have relatively narrow bandwidth, while molecular dye and solid<br />

state systems exhibit broader bandwidth.<br />

In a cw or free-running laser, the longitudinal modes operate independently.<br />

Cavity perturbations cause some modes to stop oscillating and<br />

when they re-start they have a different phase. Thus, the laser output<br />

comprises various randomly phased mode frequencies. In a mode-locked<br />

laser, the longitudinal modes must be "locked" in phase, such that they<br />

constructively interfere at some point in the cavity and destructively interfere<br />

elsewhere in order to create a single circulating pulse. Each time this<br />

intracavity pulse reaches the partially reflective output coupler, an output<br />

pulse is produced. The time between the output pulses is the time it takes<br />

for the cavity pulse to make one complete round trip. For a <strong>Tsunami</strong><br />

system, this corresponds to about 12.2 ns. The output pulse frequency, or<br />

repetition rate (rep rate), is 82 MHz (refer to Figure A-1).

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