“…For these measurements, the output of a Ti:sapphire regenerative amplifier (771 nm, 1 kHz rep. rate, 150 fs TFwHm, Clark MXR CPA-2001) was used to excite the sample and also to produce a white light continuum (WLC) in sapphire to probe the sample at various time delays from -100 picoseconds to 2.4 nanoseconds after excitation. A change in absorption can be related to a change in refractive index (An) by the nonlinear Kramers-Kr6nig relationship [4] in the following manner: An(oP;e Ie )= c A a ( ;we,!edQ (2) where wp and We is the frequency o mce of the pump, c is the speed of light, and p' is the principle value. The nonlinear Kramers-Kr6nig relationship has the advantage over the linear analog because Act is confined over a finite wavelength interval and therefore gives the shape and magnitude of An [5].…”