Chapter 7 Summary of original findings and published works
The following original results were obtained:
It was shown that experimental results by Wei Ding, William Wadsworth and Jonathan
Knight were consistent with soliton evolution, thus strengthening the base of evidence for
the existence of solitons in silicon wires. (Optics Express, 16:3310, 2008.)
It was shown that the dispersion of linear coupling can be used to control the
group velocity dispersion of supermodes in silicon waveguide arrays. The possibility
of soliton generation and modulation instability in normally dispersive waveguides was
demonstrated. (Optics Express 17:5879, 2009.)
It was shown that silicon waveguide arrays are capable of supporting spatiotemporal
solitons. A theory of resonant radiation generation in waveguide arrays was developed.
A novel phenomenon was predicted, whereby a bullet will emit radiation at multiple
frequencies, but that some of these will be "forbidden" for symmetry reasons. (Physical
Review A, 78:033818, 2008.)
The presence of Raman solitons in the presence of phase-mismatch was shown to be
possible. (Presented at the 2006 annual meeting of the European Optical Society.)