| Optical
Waveguide Gratings and Slow Light
Irena
Kabakova, Falk Eilenberger, Neil Baker,
Martijn de Sterke, Benjamin
Eggleton
Optical Grating
Writing
Many of the nonlinear materials exploited in CUDOS exhibit
a degree of photosensitivity, allowing the modification of
the refractive index using lasers. By interfering light in
complex ways, detailed resonant structures can be created
in waveguides and fibres, which underpin many of the experimental
programs in CUDOS. We have established a facility to produce
complex grating structures in optical fibres at 1 µm
as well as 1.5 µm. These have been used as filters and
complex dispersion compensators for nonlinear experiments
as well as specialized long gratings for gap soliton studies.
In addition, value added grating based devices have been demonstrated,
including the variable bandwidth dispersionless filter for
reconfigurable networks. More recently, we have demonstrated
strong gratings in chlacogenide waveguides. The high nonlinearity
and high refractive index modulation achievable in this material
(dn/n=1%) open up the possibility of fully integrated waveguide
components, such as photonic switches or optical regenerators
on a chip.
 
Figure 1. A Sagnac based interefometer
was used to write a Bragg resonance into a chalcogenide waveguide
with FWHM ~10nm.
 
Figure 2. Apodised fibre Moire grating
120mm - Index modulation made visible via sidescan spectroscopy
Slow light in optical gratings
Even though the phase velocity of light is more or less fixed,
the group velocity can vary widely. The group velocity (dw/dk)
determines the time it takes an optical pulse to travel through
an optical waveguide is. In dispersive media like gratings
and photonic crystals the group velocity can become much less
than the phase velocity c/n, so the transit time of the pulse
in the waveguide stretches proportionally. If the range of
frequencies over which this dispersive behaviour exists encompasses
the spectrum of the pulse and the group velocity is constant,
then the pulse will be slowed with minimal distortion in its
shape – hence the term “slow light”. Slow
light is of fundamental interest and may also be useful in
applications such as optical delay lines and ultra-low threshold
optical devices.
The ability to control the group velocity of light, the velocity
at which the energy travels, has important applications in
all-optical network routers and other devices where buffereing
is required. In these applications it is important that the
light can be delayed in time by a tunable amount longer than
the pulse length. Currently this is done electronically, but
electronics will not be able to deal with the short pulses
used in the next generation of networks.
Slow Gap Solitons
In applying grating based slow light to the problem of optical
bufferes, one of the problems faced is that group velocity
in general is not constant and so pulse distortion occurs.
To address this, we have developed a slow-light approach based
on the excitation of temporal gap solitons (Fig 1.), which
are intense pulses that can propagate inside the bandgap of
a nonlinear periodic structure. Pulses are reflected at low
incident intensities, but are transmitted at intensities above
a certain threshold, with the transmitted pulse travelling
at low group velocity. Unlike linear systems, slow light by
exciting gap solitons is not limited by the delay-bandwidth
trade-off imposed by the Kramers-Kroning relation.

Fig. 3 Experimental setup for demonstrating temporal gap
solitors within a fiber Bragg grating. Grating resonance can
be tuned by moving one stage.
An apodized fibre Bragg grating is used as the medium to
observe such behaviour. Experiments show a nonlinear transmission
of the device, which is characteristic of gap soliton formation
(Fig. 2). Pulse measurement reveals that the transmitted pulse
is delayed by as much as 1.6 ns, corresponding to a group
velocity of 0.23 c/n (Fig. 3). Results also show that one
can achieve some tunability in the delay by controlling the
incident intensity.

Fig. 4 Observation of nonlinear transmission for different
offsets of the grating bandgap.

Fig. 5 Measured behaviour of the slow light progation
for different pulse powers. (red dotted line is when the resonance
is detuned from the pulse while the blue solid line is when
the pulse is slowed by the resonance)
Publications
- B.
T. Kuhlmey, F. Luan, L. Fu, D. Yeom, B. J. Eggleton, A.
Wang, and J. C. Knight,
"Experimental reconstruction of bands in solid core
photonic bandgap fibres using acoustic gratings,"
Opt. Express 16, 13845-13856 (2008)
- H.
C. Nguyen, D. Yeom, E. C. Mägi, B. T. Kuhlmey, C. M.
de Sterke, and B. J. Eggleton
"Nonlinear switching using long-period gratings in
As2Se3 chalcogenide fiber"
J. Opt. Soc. Am. B 25, 1393-1401 (2008)
- Brawley,
G.A.; Taeed, V.G.; Bolger, J.A.; Sanghera, J.S.; Aggarwal,
I.; Eggleton, B.J.,
"Strong photoinduced Bragg gratings in arsenic selenide
optical fibre using transverse holographic method,"
Electronics Letters, vol.44, no.14, pp.846-847, July 3 2008
- Tsoy,
EN; de Sterke, CM
"Oscillations of the soliton parameters in nonlinear
interference phenomena"
PHYSICS LETTERS A, 372, 11, 1856-1861, 2008
- H.
C. Nguyen, D. I. Yeom, E. C. Mägi, L. B. Fu, B. T.
Kuhlmey, C. M. de Sterke, and B. J. Eggleton
"Nonlinear long-period gratings in As2Se3 chalcogenide
fiber for all-optical switching,"
Appl. Phys. Lett. 92, 101127 (2008).
- Mok,
J.T.; Ibsen, M.; Martijn De Sterke, C.; Eggleton, B.J.,
"Dispersionless slow light with 5-pulse-width delay
in fibre Bragg grating,"
Electronics Letters , vol.43, no.25, pp.1418-1419, Dec.
6 2007
- Thomas
Grujic, Hong C. Nguyen, Michael R.E. Lamont, C. Martijn
de Sterke and Benjamin J. Eggleton
"All-optical regeneration based on a nonlinear long period
grating"
Optics Communications, Available online 26 November 2007.
- Eduard
N. Tsoy and C. Martijn de Sterke
"Theoretical analysis of the self-frequency shift near
zero-dispersion points: Soliton spectral tunneling"
Phys. Rev. A 76, 043804 (2007).
- J.
A. Bolger, F. Luan, D. -I. Yeom, E. N. Tsoy, C. M. de Sterke,
and B. J. Eggleton
"Tunable enhancement of a soliton spectrum using an
acoustic long-period grating,"
Opt. Express 15, 13457-13462 (2007)
- D.
-Y. Choi, S. Madden, A. Rode, R. Wang, B. Luther-Davies,
N. J. Baker,
and B. J. Eggleton, "Integrated shadow mask for sampled
Bragg gratings in
chalcogenide (As2S3) planar waveguides," Opt. Express
15, 7708-7712 (2007)
- D.
-I. Yeom, J. A. Bolger, G. D. Marshall, D. R. Austin, B.
T. Kuhlmey, M.
J. Withford, C. Martijn de Sterke, and B. J. Eggleton, "Tunable
spectral
enhancement of fiber supercontinuum," Opt. Lett. 32,
1644-1646 (2007)
- K.
Finsterbusch, N. J. Baker, V. G. Ta'eed, B. J. Eggleton,
D. -Y. Choi, S.
Madden, and B. Luther-Davies, "Higher-order mode grating
devices in As2S3
chalcogenide glass rib waveguides," J. Opt. Soc. Am.
B 24, 1283-1290 (2007)
- J.A.
Bolger, I.C.M. Littler and B.J. Eggleton
Optimisation of superimposed chirped fibre Bragg gratings
for the generation of ultra-high speed optical pulse bursts
Optics Communications, Volume 271, Issue 2, 15 March 2007,
Pages 524-531
- Joe
T. Mok, C. Martijn de Sterke, Ian C. M. Littler and Benjamin
J. Eggleton
Dispersionless slow light using gap solitons
Nature Physics, Published online: 22 October 2006
- Finsterbusch,
K.; Baker, N.; Ta'eed, V.G.; Eggleton, B.J.; Choi, D.; Madden,
S.; Luther-Davis, B.,
Long-period gratings in chalcogenide (As2S3) rib waveguides
Electronics Letters , vol.42, no.19pp. 1094- 1095, Sept.
2006
- N.
J. Baker, H. W. Lee, I. C. Littler, C. M. de Sterke, B.
J. Eggleton, D.-Y. Choi, S. Madden, and B. Luther-Davies
Sampled Bragg gratings in chalcogenide (As2S3) rib-waveguides
Opt. Express 14, 9451-9459 (2006)
- I.C.
M. Littler, L. B. Fu, E. C. Mägi, D. Pudo, and B. J.
Eggleton
Widely tunable, acousto-optic resonances in Chalcogenide
As2Se3 fiber
Opt. Express 14, 8088-8095 (2006)
- Ian
C.M. Littler, Martin Rochette and Benjamin J. Eggleton
Impact of chromatic dispersion and group delay ripple on
self-phase modulation based optical regenerators
Optics Communications, Volume 265, Issue 1, 1 September
2006, Pages 95-99.
- Ian
C.M. Littler, Libin Fu, Michael Lee and Benjamin J. Eggleton
Investigation of single harmonic group delay ripple on picosecond
pulses using FROG: Tailoring pulse bursts
Optics Communications, Volume 265, Issue 1, 1 September
2006, Pages 147-152.
- M.
Shokooh-Saremi, V. G. Ta'eed, N. J. Baker, I. C. M. Littler,
D. J. Moss, B. J. Eggleton, Y. Ruan, and B. Luther-Davies
High-performance Bragg gratings in chalcogenide rib waveguides
written with a modified Sagnac interferometer
J. Opt. Soc. Am. B 23, 1323-1331 (2006)
- Ian
C. M. Littler, Tom Grujic, and Benjamin J. Eggleton
Photothermal effects in fiber Bragg gratings
Appl. Opt. 45, 4679-4685 (2006)
- P.
Steinvurzel, E. D. Moore, E. C. Mägi, and B. J. Eggleton
Tuning properties of long period gratings in photonic bandgap
fibers
Opt. Lett. 31, 2103-2105 (2006)
- Magne,
J. Bolger, J. Rochette, M. LaRochelle, S. Chen, L.R. Eggleton,
B.J. Azana, J
Generation of a 4$times$100 GHz Pulse-Train From a Single-Wavelength
10-GHz Mode-Locked Laser Using Superimposed Fiber Bragg
Gratings and Nonlinear Conversion
Lightwave Technology, Journal of, May 2006 Volume: 24, Issue:
5
- D.
Pudo, E. C. Mägi, and B. J. Eggleton
Long-period gratings in chalcogenide fibers
Opt. Express 14, 3763-3766 (2006)
- J.
T. Mok, C. M. de Sterke, and B. J. Eggleton
Delay-tunable gap-soliton-based slow-light system
Opt. Express 14, 11987-11996 (2006)
- N.
J. Baker, H. W. Lee, I. C. Littler, C. M. de Sterke, B.
J. Eggleton, D.-Y. Choi, S. Madden, and B. Luther-Davies
Sampled Bragg gratings in chalcogenide (As2S3) rib-waveguides
Opt. Express 14, 9451-9459 (2006)
- M.
Sumetsky and B.J. Eggleton
Fiber Bragg gratings for dispersion compensation in optical
communication systems
Journal of Optical and Fiber Communications Reports, Volume
2, Issue 3, Sep 2005, Pages 256 - 278
- Joe
T. Mok, Ian C. M. Littler, Eduard Tsoy, Benjamin J. Eggleton
Soliton compression and pulse-train generation by use of
microchip Q-switched pulses in Bragg gratings,
Optics Letters, Volume 30, Issue 18, 2457-2459 September
2005.
- Shokooh-Saremi,
M.; Ta'eed, V.G.; Littler, I.C.M.; Moss, D.J.; Eggleton,
B.J.; Ruan, Y.; Luther-Davies, B.
Ultra-strong, well-apodised Bragg gratings in chalcogenide
rib waveguides
Electronics Letters Volume 41, Issue 13, 23 Jun 2005 Page(s):21
- 22.
- M.
Rochette, I.C.M. Littler, R.W. McKerracher, B.J. Eggleton
A Dispersionless and Bandwidth-Adjustable FBG Filter for
Reconfigurable 2R-Regeneration
Photonics Technology Letters, IEEE Volume 17, Issue 8, Aug.
2005 Page(s):1680 - 1682
- I.C.
M. Littler, Libin Fu, B. J. Eggleton
Effect of group delay ripple on picosecond pulse compression
schemes
Applied Optics, Vol. 44 Issue 22 Page 4702 (August 2005).
- Fu
LB, Marshall GD, Bolger JA, Steinvurzel P, Magi EC, Withford
MJ, Eggleton BJ
Femtosecond laser writing Bragg gratings in pure silica
photonic crystal fibres
ELECTRONICS LETTERS 41 (11): 638-640 MAY 26 2005.
- Steinvurzel
P, MacHarrie RA, Baldwin KW, Van Hise CW, Eggleton BJ, Rogers
JA
Optimization of distributed resistive metal film heaters
in thermally tunable dispersion compensators for high-bit-rate
communication systems
Applied Optics, 44 (14), 2782-2791 (2005)
- Ian
C.M. Littler, Martin Rochette & Benjamin Eggleton
Adjustable bandwidth dispersionless bandpass FBG optical
filter
Optics Express 13, 3397-3407, (2005).
- Jong
H. Chow, Benjamin S. Sheard, David E. McClelland, Malcolm
B. Gray and Ian C. M. Littler
Photothermal effects in passive fiber Bragg grating resonators
Optics Letters, 30, 708-710, (2005)
- C.
Martijn de Sterke and Benjamin J. Eggleton
Spectral Talbot effect: interpretation via band diagrams
Optics Communications, 248(1-3), 117-121 (2005)
- Lobo
AE, Besley JA, de Sterke CM
Gain-flattening filter design using rotationally symmetric
crossed gratings
Journal of Lightwave Technology 21 (9): 2084-2088 SEP 2003
- Sumetsky
M, Litchinitser NM, Westbrook PS, et al.
High-performance 40 Gbit/s fibre Bragg grating tunable dispersion
compensator fabricated using group delay ripple correction
technique
Electronics Letters 39 (16): 1196-1198 AUG 7 2003.
- Libin
Fu, Ian C.M. Littler, Joe T. Mok & Benjamin Eggleton
Matched photonic bandgap fibre and fibre Bragg grating dispersion
for all in-fibre stretch pulse amplification
Electronics Letters 41, 306-307 (2005).
- Mok
JT, Eggleton BJ, Photonics
Expect more delays
Nature 433 (7028), 811-812 (2005)
|