Evolution of lasers in Kerr nonlinear materials is inextricably linked with unstable behavior.
Current research has investigated the growth of optical Kerr instability out of noise, which
results in phenomena such as conical emission and filamentation in bulk materials, and
modulation instability in optical fibers. Here, we suggest that seeding Kerr instability in
dielectrics can be used for wideband optical amplification ranging from the second harmonic
of the pump laser to the mid-infrared. Our theoretical feasibility analysis focuses on the …

This document provides supplementary information to “Theory of Kerr instability
amplification,” https://doi. org/10.1364/OPTICA. 5.000271. In section 1, a table summarizing
all variables, their definitions, and their locations in the primary article is given. In section 2,
we show refractive index and the exact dispersion for both CaF2 and KBr, defined by Eq.(4)
in the main work. In section 3, we compare the KIA gain obtained from a numerical solution
of the coupled equations (2) and (3) with the gain (9) obtained from the solution of the …