One of the most important research highlights of 2000 is the prediction
of a new object in the nonlinear physics, a
dipole-mode vector soliton.
This is a composite optical beam that carries a dipole momentum and can
be understood either as a
Hermite-Gaussian guided mode trapped by a soliton-induced waveguide or
as a bound state of two simpler solitary waves in a bulk medium, the
so-called "molecule of light". This and other, more complicated and
intriguing objects have been predicted and demonstrated experimentally
(in collaboration with a team of the Laser Physics Centre), including
quadrupole vector solitons and "necklace" beams. This topic attracted a
great interest of other groups with almost simultaneous experimental
verifications done at Princeton (USA) and Technion (Israel). Our
results gained several invitations for the major research meetings in
optics (Nonlinear Optics OSA Topical Meeting, OSA Annual Meeting, SPIE
Symposium on Beam and Pulse Propagation, NATO Summer School, etc), and
were also presented as a post-deadline paper at CLEO/Europe (Nice).
Other advances in the theory of spatial optical solitons include the
rigorous stability analysis of multi-parameter solitary waves [
Phys. Rev. E 62, 8668 (2000) ], the comprehensive overview of the transverse
and modulational instabilities of solitary waves [
Phys. Rep. 331, 117 (2000) ],
the study of both linear and nonlinear properties of the
vortex-induced waveguides [
Opt. Lett. 25, 660 (2000) ], analysis of
solitons in photonic crystals, etc.
Experimental results demonstrating
(a,b) the formation of a dipole-mode soliton,
and (c,d) its collision with a scalar soliton and the linear to
angular momentum transfer.