  Dramatic advances in supercontinuum generation have been made recently using
photonic crystal fibers, but it is quite challenging to obtain an
octave-spanning supercontinuum on a chip, partially because of strong
dispersion in high-index-contrast nonlinear integrated waveguides. We show by
simulation that extremely flat and low dispersion can be achieved in silicon
nitride slot waveguides over a wavelength band of 500 nm. Different from
previously reported supercontinua that were generated either by higher-order
soliton fission in anomalous dispersion regime or by self phase modulation in
normal dispersion regime, a two-octave supercontinuum from 630 to 2650 nm (360
THz in total) can be generated by greatly enhancing self-steepening in
nonlinear pulse propagation in almost zero dispersion regime, when an optical
shock as short as 3 fs is formed, which enables on-chip ultra-wide-band
applications.
