FRANK W. WISE
W
aves spread out as they propagate. A
familiar example is the broadening
of a beam of light. The challenge
of overcoming the ubiquitous spreading of
waves has motivated scientists for decades, and
packets of light waves that retain their shape,
known as solitons, have been demonstrated in
one and two dimensions
1
. However, it has been
extremely difficult to create solitons that are
stable in three dimensions. Writing in Physical
Review X, Lahav et al.
2
report an experimen-
tal approach that can produce such objects.
The work will allow fundamental properties
of 3D solitons to be investigated, and could
lead to 3D solitons that have technological
applications.
A narrow beam of light contains wave
components that propagate in different direc-
tions. As the beam travels through a material,
these wave components get out of sync, caus-
ing the beam to spread out — a process known
as diffraction. However, if the beam is pow-
erful enough, the light changes the material’s
refractive index (a quantity that describes how
light propagates in a medium), which in turn
affects the beam. In particular, if the beam
has a bell-shaped intensity profile, as do most
laser beams, the material focuses the beam
like a lens. By tuning the beam intensity, this
focusing can counteract diffraction to produce
a ‘self-guided’ beam that does not spread out.
In addition to diffraction, a pulsed beam
exhibits a broadening effect along its direc-
tion of propagation. Each pulse of light con-
tains wave components that have a range of
frequencies (colours), and, as a pulse moves
through a material, these components separate
— a process called dispersion. There are two
types of dispersion: normal and anomalous. In
normal dispersion, the low frequencies move
faster than the high frequencies (‘red leads
blue’), whereas in anomalous dispersion, the
high frequencies lead the low frequencies
(‘blue leads red’).
However, a high-power beam can cause the
change in the material’s refractive index to shift
the lower frequencies (‘red’) to the front of the
pulse and the higher frequencies (‘blue’) to the
rear. By tuning the beam intensity, the effect
of anomalous dispersion can be cancelled out.
Furthermore, if a bright beam is turned off
and then back on (a dark pulse), the frequency
shifts are reversed and normal dispersion can
be neutralized.
A 3D soliton, sometimes referred to as
a light bullet, is the result of cancelling out
diffraction and dispersion simultaneously
(Fig. 1). Although such objects exist in theory,
they are notoriously unstable. The focusing of
the beam by the material must perfectly bal-
ance diffraction, and it is extremely difficult
to counteract diffraction and dispersion at the
same time, because these actions require dif-
ferent beam intensities. Scientists have gener-
ated solitons that are stable in two dimensions
(one along the direction of propagation and
one perpendicular to this direction)
3
, and 3D
solitons in a highly structured material (glass
patterned with an array of optical devices
called waveguides)
4
. But it has not been pos-
sible to create 3D solitons in an unstructured
material — which is desirable for studying
these objects and for practical applications.
It has been known for more than 20 years
that self-guided light beams can be gener-
ated in photorefractive materials
5
. These are
materials that exhibit a temporary change in
refractive index when exposed to a beam of
light, as a result of electrons moving through
them. The focusing of the beam occurs in
such a way that the need for perfect control
of the beam intensity is eliminated. Fur-
thermore, bound electrons produce the fre-
quency-shifting refractive index required to
eliminate dispersion. There is only one hitch:
the material needs to have regions of negative
and positive electric charge, but such a charge
distribution takes time to establish — longer
than the duration of a short light pulse.
Lahav and colleagues’ solution was to shine a
repetitive string of such pulses into a crystal of
the photorefractive material strontium barium
niobate, which responded to the power aver-
aged over many pulses to create a self-guided
beam. The response of the bound electrons
in the crystal then allowed dispersion to be
cancelled out in each pulse. The result was a
string of 3D ‘pulse-train’ solitons — so named
because the properties of each soliton depend
on the solitons that come before it.
The authors used pulses of 800-nanometre
wavelength, which meant that the crystal had
normal dispersion. As a consequence, although
the beam produced was bright, its temporal
OPTICAL PHYSICS
Solitons divide
and conquer
An experimental technique allows packets of light called solitons to maintain
their shape in all three dimensions as they travel through a material. Such wave
packets could find applications in optical information processing.
a
b
x
y
z
Light pulse
x
y
z
3D soliton
Material
Figure 1 | Light pulses versus 3D solitons. a, A pulse of light tends to spread out as it propagates through
a material (coloured arrows). It broadens along the direction in which it is travelling (the x axis) as a result
of dispersion, whereby components of the pulse that have different frequencies separate. Furthermore, it
widens along the perpendicular directions (the y and z axes) because of diffraction. b, Lahav et al.
2
report
a technique for producing three-dimensional solitons — packets of light that maintain their geometry as
they move through a material.
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doi:10.1038/d41586-018-01470-y ©2018MacmillanPublishersLimited,partofSpringerNature.Allrightsreserved.