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Tsunami - Beckman Institute Laser Resource Center

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<strong>Tsunami</strong><br />

GVD Compensation<br />

The materials in the <strong>Tsunami</strong> contribute positive GVD and, in combination<br />

with SPM in the Ti:sapphire rod, induce a positive chup on the pulse.<br />

Consequently, the circulating pulse continues to broaden as it propagates<br />

through the cavity unless negative GVD is present to balance these effects.<br />

As discussed earlier, a material exhibits GVD when the second derivative<br />

of its refraction index, with respect to wavelength (d2n/d;12), is non-zero.<br />

This is a special case that is only valid when all wavelengths follow the<br />

same path through a material. This can be extended to any optical system<br />

having a wavelength dependent path length (P). GVD is then governed by<br />

the second derivative of the optical path with respect to wavelength<br />

(d2P/d;l2).<br />

For this reason, a prism pair can be used to produce negative GVD. This is<br />

generally the preferred intracavity compensation technique for ultrashort<br />

pulse lasers because (a) losses can be minimized by using the prisms at<br />

Brewster's angle, and (b) the negative GVD is nearly linear over a large<br />

bandwidth. Ideally, for stable short-pulse formation, the round trip time in<br />

the cavity must be frequency independent, i.e., Tg(o) = d@/dw = constant,<br />

where Tg(w) is the group delay time, $ is the phase change, and cc, is the<br />

frequency. In reality, dispersion is not purely linear, and higher order<br />

dispersion terms become significant for shorter output pulse widths (larger<br />

bandwidths).<br />

In the fs <strong>Tsunami</strong> laser, a four-prism sequence configuration is used to<br />

provide negative GVD (Figure A-6).<br />

-<br />

Positive<br />

Chirp<br />

Chirp<br />

Free<br />

B A R<br />

A<br />

1<br />

Tuning<br />

Slit<br />

Figure A-6: The four prism sequence used for dispersion compensation<br />

in the <strong>Tsunami</strong> laser. An input pulse with a positive chirp (red<br />

frequencies at the leading edge of the pulse) experiences negative GVD<br />

(red frequencies have longer group delay time) in the prism sequence.<br />

The net effect is that the prism sequence compensates for the positive --<br />

GVD and produces a pulse which has no chirp.

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