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Previously, we presented the experimental evidence for a degenerate frequency two beam coupling (TBC) in two photon absorbing (2PA) organic solutions. It has been well established that the two critical requirements for TBC are a nonlinear refractive index with a finite lifetime and that the interacting fields must have non-degenerate frequencies. However, degenerate frequency coupling has been shown for fields containing a time-dependent phase, i.e. a frequency chirp. This chirp can either be intrinsic to the fields or induced by self- and cross- phase modulation (S/XPM). For nanosecond pulses, the relatively small intrinsic chirp of the fields is negligible compared to the strong cumulative effects of population redistribution which generates large S/XPM. A S/XPM-mediated theoretical treatment for degenerate frequency TBC is presented along with numerical simulations using known nonlinear optical parameters to model the experimental results.
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Jonathan E. Slagle, Joseph W. Haus, Daniel G. McLean, Shekhar Guha, "Degenerate frequency two beam coupling in organic solutions using nanosecond laser pulses," Proc. SPIE 9939, Light Manipulating Organic Materials and Devices III, 99390E (23 September 2016); https://doi.org/10.1117/12.2237034