Three - University of Arkansas Physics Department
Three - University of Arkansas Physics Department
Three - University of Arkansas Physics Department
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January 15,1999 1 Vol. 24, No. 2 / OPTICS LETTERS 77<br />
Fixing the photorefractive soliton<br />
Matt Klotz, Hongxing Meng, and Gregory J. Salamo<br />
<strong>Department</strong> <strong>of</strong> <strong>Physics</strong>, <strong>University</strong> <strong>of</strong> <strong>Arkansas</strong>, Fayetteville, <strong>Arkansas</strong> 72701<br />
Mordechai Segev<br />
<strong>Department</strong> <strong>of</strong> Electrical Engineering, Princeton <strong>University</strong>, Princeton, New jersey 08544<br />
Steven R. Montgomery<br />
<strong>Department</strong> <strong>of</strong> <strong>Physics</strong>, U.S. Naval Academy, Annapolis, Maryland 21402<br />
Received June 29, 1998<br />
We report the formation <strong>of</strong> permanent two-dimensional 12-pm waveguides in a bulk strontium barium niobate<br />
crystal. The waveguides are made by formation <strong>of</strong> a photorefractive spatial soliton in which the space-charge<br />
field induces ferroelectric domains that are permanently polarized opposite to the crystal c axis. The fixed<br />
waveguide propagates light with 80% efficiency. These results make possible the permanent recording <strong>of</strong><br />
intricate optical circuitry in the volume <strong>of</strong> a bulk crystal. O 1999 Optical Society <strong>of</strong> America<br />
OCIS codes: 190.0190.<br />
Photorefractive soliton^'^^ have become a convenient<br />
playground in which to study soliton phenomena, since<br />
they are observed at low light powers (microwatts) and<br />
exhibit robust trapping in both transverse dimensions.<br />
Screening soliton^^-^ form when an electric field applied<br />
to a photorefractive crystal is partially screened<br />
within the incident light beam owing to transport<br />
<strong>of</strong> photoexcited charge^.^ An internal field develops<br />
within and around the beam and modifies the refractive<br />
index through the Pockels effect. This index distribution<br />
is in the form <strong>of</strong> a graded-index waveguide<br />
that guides the beam that induced it. Such solitoninduced<br />
waveguides are highly controllable: One can<br />
control their numerical aperture, number <strong>of</strong> modes, etc.<br />
by adjusting the parameters <strong>of</strong> the soliton existence<br />
curve.6 Owing to a low dark current, these solitoninduced<br />
waveguides survive in the dark but can be<br />
erased by uniform illumination that restores a uniform<br />
charge distribution and electric field. In fact, these<br />
waveguides disappear if the applied field is turned <strong>of</strong>f<br />
while the crystal is illuminated, because the trapped<br />
electrons are re-excited and undergo transport, giving<br />
rise to a charge distribution that cannot support<br />
solitons. Although the self-induced and easily erased<br />
nature <strong>of</strong> photorefractive soliton-induced waveguides<br />
is attractive for dynamic applications, e.g., reconfigurable<br />
interconnects, for many applications it is advantageous<br />
to permanently impress waveguides into the<br />
crystalline structure, i.e., to have the induced waveguide<br />
last indefinitely without an applied field, even<br />
under intense illumination.<br />
Two main methods can transform a photorefractive<br />
electronic hologram into an ionic deformation: ion<br />
drift and ferroelectric space-modulated poling.7 The<br />
first method applies primarily to photovoltaic LiNbOa,<br />
in which the optical beam can introduce long-lasting<br />
optical damage. In recent experiments researchers<br />
have reported fixing <strong>of</strong> waveguides by use <strong>of</strong> ion drift<br />
either individually by scanning <strong>of</strong> a tightly focused<br />
beam or as a two-dimensional (2D) array <strong>of</strong> waveguides<br />
by imaging a nondiffracting pattern.' Using<br />
the scanning method, one can fabricate single-<br />
mode waveguides, but this requires subwavelength<br />
movement control. A nondiffracting pattern, on<br />
the other hand, employs linear optics to generate<br />
a beam with an intensity peak that broadens<br />
very little on a short enough length scale.g For a<br />
single nondiffracting beam, the narrower the intensity<br />
peak, the faster it diffracts, so a narrow waveguide<br />
induced by such a beam broadens throughout propagation.<br />
Nondiffracting arrays stay narrow for a<br />
longer distance but, being periodic, do not allow<br />
much flexibility in the optical circuitry. Finally, in<br />
recent experiments waveguides induced by domain<br />
reversal were demonstrated.1° However, these waveguides<br />
were induced by diffracting beams and therefore<br />
had to be very broad (highly multimode) or rapidly<br />
varying throughout propagation. With all these new<br />
results on inducing permanent waveguides in photorefractive<br />
crystals, one thing is obvious: It is highly<br />
desirable to induce waveguides with individual beams<br />
that truly do not diffract by fixing the photorefractive<br />
soliton.<br />
~ - - --<br />
Here we report on experiments in which ferroelectric<br />
domain reversal was successfully employed to permanently<br />
fix a waveguide induced by a photorefractive<br />
soliton in a crystalline matrix. This waveguide survived<br />
at room temperature when the applied field was<br />
removed, even under intense illumination, but could<br />
be easily erased by application <strong>of</strong> electric fields that<br />
were larger than the coercive field <strong>of</strong> the crystal. This<br />
method permits permanent recording <strong>of</strong> intricate optical<br />
circuitry in the volume <strong>of</strong> a bulk crystal so that<br />
integrated optics need no longer be limited to planar<br />
geometry.<br />
We used the standard setup for forming screening<br />
soliton^^^^: a beam splitter divided by the output<br />
<strong>of</strong> a 514.5-nm argon-ion laser into a soliton<br />
and a background beam. The crystal was a 1-cm cube<br />
<strong>of</strong> SBN:75 doped with 0.02% cerium by weight. The<br />
soliton beam had a 12-pm FWHM input diameter<br />
[Fig. l(a)], and the 35-mW background beam was<br />
expanded to fill the entire crystal. Normally the<br />
incident beam, which propagated along an a axis,<br />
0146-95921991020077-03$15,0010 @ 1999 Optical Society <strong>of</strong> America