Demetri
Christodoulides, CREOL-College of Optics and Photonics, University of
Central Florida
Optical Airy beams and bullets
Abstract: In recent years, the
quest for non-spreading or non-diffracting optical beam configurations
has been motivated by possible applications in diverse fields ranging
from biology to atom optics. Lately our group has explored the
possibility of experimentally realizing non-spreading accelerating Airy
beams in optics. This was done by exploiting the formal analogy between
quantum wave mechanics and paraxial diffraction optics. We have
demonstrated, that even though they are exponentially truncated (thus
conveying finite energy), these Airy beams still exhibit a host of
interesting characteristics. More specifically, they resist diffraction
while their main intensity maxima or lobes tend to self-bend and
accelerate in free space along parabolic trajectories. This ballistic
behavior persists over long distances in spite of the fact that the
center of gravity of these wavepackets remains constant (in agreement
with Ehrenfest’s theorem) and eventually diffraction takes over. Figure
(a) depicts quasi-diffractionless propagation of a finite-energy Airy
beam where its “acceleration” dynamics are apparent. These intriguing
properties of the Airy wavepackets put them in a category by
themselves. These beams, in contrast to the already known families of
non-diffracting fields; are possible in one-dimension (excellent
candidates for time applicationds), do not result from conical
superposition, and are thus highly asymmetric. The peculiar features of
Airy beams may find applications in near-field microscopy where their
asymmetric intensity pattern could prove advantageous. Particle sorting
(via optical gradient forces) along bent parabolic trajectories may be
another fascinating direction.
Here we provide an overview of our recent work on optical Airy beams
and bullets. Other aspects like their self-healing properties or the
possibility of generating for the first time spatio-temporal optical
Airy bullets (b) will be also discussed.

(a)
(b)
Address: CREOL-College of Optics and Photonics, University of
Central Florida, Orlando, Florida 32816. Go to Professor
Christodoulides website.
Email: demetri@creol.ucf.edu