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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

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