Wiki / Sources / Pulsed Laser

Pulsed Laser

Emits a mode-locked pulse train; its bandwidth follows the pulse duration while transform-limited, or is set by hand.

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In the real world

A pulsed laser concentrates its output into short bursts separated by a fixed repetition period, rather than emitting steadily. Concentrating a given pulse energy into a shorter duration — in addition to spatial concentration at a focus — enables substantially higher intensities than continuous-wave operation can achieve; the most extreme intensities produced this way are employed in high-field physics, and more modest ones drive the nonlinear processes behind multiphoton microscopy and two-photon polymerization.

Pulse durations range from microseconds down to a few femtoseconds. The average power a power meter reads is the pulse energy divided by the repetition period; the peak power reached within a pulse is far larger, by roughly the ratio of the repetition period to the pulse duration.

Ultrafast lasers are inherently broadband: a sufficiently short pulse duration necessarily corresponds to a correspondingly broad frequency spectrum. A pulse whose spectral width is exactly the minimum its duration allows is called transform-limited — it carries no residual chirp, and it is the shortest pulse that spectrum could possibly support. The dimensionless product below depends only on the envelope shape.

ΔνΔtK\Delta\nu \, \Delta t \geq K
Time–bandwidth product. K = 0.441 for a Gaussian envelope, 0.315 for a sech². Equality is the transform-limited case.
PpeakKsPavgfrepτP_{\text{peak}} \approx K_{s} \, \frac{P_{\text{avg}}}{f_{\text{rep}} \, \tau}
Peak power: the pulse energy P_avg / f_rep delivered within one pulse duration τ, with a shape factor K_s (0.94 Gaussian, 0.88 sech²).

Short pulses are produced by mode locking: a fixed phase relationship is enforced across many longitudinal cavity modes, so that they interfere constructively for a brief instant on each cavity round trip and destructively the rest of the time. The repetition rate that results is set by the cavity round-trip time, which is why typical mode-locked oscillators sit in the tens of MHz.

In OpticalSetup

The Pulsed Laser emits the same collimated ray or 25-ray sampled beam as the CW Laser, plus a pulse train: a repetition rate, a pulse duration, and an emission offset that shifts this source's pulses in time relative to any other. That timing is what drives the travelling packet overlay, the oscilloscope view on a photodetector, chopper and AOM/EOM gating, and the two-colour temporal overlap that CARS and SFG require.

Bandwidth follows the pulse: while Transform-limited is on, the spectral width is computed from the duration and the chosen envelope shape, so a shorter pulse automatically becomes a wider spectrum. Turning it off exposes the bandwidth directly for a chirped or spectrally shaped pulse; setting it to 0 nm models an idealized monochromatic pulse train. Peak power is reported back as a derived readout, never entered.

Show pulse dynamics is a drawing choice only — switching it off leaves the beam rendered as a steady CW line while every bit of the pulse physics above keeps running.

Dispersion and pulse stretching

Every pulsed detector reports accumulated group-delay dispersion (GDD) in fs². Catalogue-glass bodies add their traced distance through the selected Sellmeier material; zero-thickness lenses and objectives add the clearly marked estimates described on their own pages. For a transform-limited Gaussian input, the detector also reports the corresponding broadened duration, and the travelling packet length follows that duration locally: it grows through glass and contracts when a Pulse Compressor cancels the accumulated GDD. GDD remains the primary number because it is additive and meaningful even when a 150 fs pulse changes too little to notice.

τout=τin1+(4ln2GDD/τin2)2\tau_{out}=\tau_{in}\sqrt{1+\left(4\ln 2\,\mathrm{GDD}/\tau_{in}^{2}\right)^2}
Second-order broadening of a transform-limited Gaussian pulse.
Simplified vs. reality

There is no modeled gain medium, cavity, or mode-locking mechanism — repetition rate, duration, and shape are configured directly. The duration estimate uses second-order GDD only and is shown only for a transform-limited Gaussian input; pre-existing chirp, third- and higher-order dispersion, self-phase modulation, and material absorption are not inferred. Divergence and M² are not modeled.

Related components

Further reading