  We demonstrate the simultaneous generation of second, third, and fourth
harmonic from a single dielectric Bismuth Ferrite nanoparticle excited by a
telecom fiber laser at 1560 nm. We first characterize the signals associated
with different nonlinear orders in terms of spectrum, excitation intensity
dependence, and relative signal strengths. Successively, on the basis of the
polarization-resolved emission curves of the three harmonics, we discuss the
interplay of susceptibility tensor components at the different orders and we
show how polarization can be used as an optical handle to control the relative
frequency conversion properties.
