One of our new areas of research started last year is the study
of nonlinear properties of photonic crystals and
photonic crystal waveguides.
Photonic crystals are usually viewed as an optical analog of
semiconductors that modify the properties of light similarly
to a microscopic atomic lattice that creates a semiconductor
band-gap for electrons. It is therefore believed
that by replacing relatively slow electrons with photons as
the carriers of information, the speed and band-width of
advanced communication systems will be dramatically
increased, thus revolutionizing the telecommunication
industry. However, to employ the high-technology potential of photonic
crystals, it is crucially important to achieve a dynamical
tunability of their properties. This idea can be realized by changing
the light intensity in the nonlinear photonic
crystals.
2D photonic crystals:
Nonlinear modes.
Our first paper [
Phys. Rev. E 62, 5777 (2000) ]
on the properties of the nonlinear localized waves in two-dimensional
photonic crystal waveguides formed by an array of Kerr-type nonlinear
dielectric rods has been already featured
in the Special Issue of Optics and Photonics News11, 33 (2000).
We have also shown how can be stabilized the
2D nonlinear modes in Kerr-type reduced-symmetry photonic crystals [
Phys. Rev. Lett. 86, 5474 (2001) ].
2D photonic crystals:
Harmonic generation.
Other results of our group on photonic crystals include
the first theory of optical phase-matching in 2D
photonic crystals with quadratic nonlinearity [
Opt. Lett. 25, 1204 (2000) ],
and a new method of an efficient harmonic generation
in nonlinear photonic crystals [
Opt. Lett. 26, 539 (2001) ].
Overviews.
A general overview of the exciting field of photonic crystals, together
with a summary of our recent results on nonlinear photonic crystals, has
became the August cover story of "The Physicist" 37, 125
(2000).
Some of our results in this field are included in a future article
of Physics Today
(by D. Campbell, S. Flach, and Yu. Kivshar)
scheduled for publication in 2001.
Some other results will be published as
a Chapter in the Springer book "Nonlinear Photonic Crystals"
edited by B.J. Eggleton and R.E. Slusher
[arXiv:physics/0104088].
Photonic & Sonic Band-Gap Bibliography.  
Compiled by: Jonathan P. Dowling (NASA Jet Propulsion
Laboratory, California Institute of Technology),
Henry Everitt (Army Research Office), and
Eli Yablonovitch (UCLA, USA).