642 Vol. 59, No. 3 / 20 January 2020 / Applied Optics
Research Article
Slow light with high normalized delay–bandwidth
product in organic photonic crystal coupled-cavity
waveguide
Hong Wu,
1,
* Shengkang Han,
1
Feng Li,
1
AND Zhihong Yang
1,2
1
New Energy Technology Engineering Laboratory of Jiangsu Province & School of Science, Nanjing University of Posts and Telecommunications
(NJUPT), Nanjing 210023, China
2
e-mail: yangzhihong@njupt.edu.cn
*Corresponding author: wuhong@njupt.edu.cn
Received 28 October 2019; revised 19 December 2019; accepted 19 December 2019; posted 20 December 2019 (Doc. ID 381562);
published 14 January 2020
In this theoretical study, a photonic crystal coupled-cavity waveguide created on polymer substrate was demon-
strated to provide high-performance slow light with low group-velocity dispersion and large normalized
delay–bandwidth product. Combined with structural-parameter optimization, the normalized delay–bandwidth
product was enhancedto a large value of 0.809, and the group-velocity dispersion was on the order of 10
4
(ps
2
/km).
Furthermore, the optimized coupled-cavity waveguide had tunability capabilities by changing the external pump
laser power. Importantly, while adjusting the slow light, the normalized delay–bandwidth product values remained
above 0.8, which was necessary to maintain the performance of optical buffering devices. © 2020 Optical Society of
America
https://doi.org/10.1364/AO.381562
1. INTRODUCTION
Recently,slow light with an extraordinary low group velocity has
become a hot topic thanks to its promising properties in time-
domain optical signal processing and spatial compression of
optical energy, which are beneficial for all-optical communica-
tions and nonlinear optical effects. Among all the technologies
to realize slow light, photonic crystal waveguides (PCWs) have
attracted much attention since they support room-temperature
operation, and the corresponding devices are compatible
with on-chip integration. Many theoretical and experimental
investigations show that PCWs lead to impressive results, par-
ticularly in line-defect waveguides [1–15] and coupled-cavity
waveguides (CCWs) [16–21].
There are several important and not always independent
parameters to evaluate the slow light effect. The group index
n
g
= c/v
g
, with v
g
being the group velocity, is the slow-down
factor of light propagating in PCWs compared with that in
vacuum. Considering the pulsed operation, n
g
should remain
at a constant value in a certain bandwidth, i.e., group velocity
dispersion (GVD) should be as small as possible, avoiding the
problem of pulse broadening and distortion. Meanwhile, a wide
useful bandwidth for a fixed n
g
with small GVD is very neces-
sary for realistic systems. However, there is a tradeoff between n
g
and bandwidth in that increasing the former results in decrease
of the latter. To combine these two parameters, many researchers
focus on improving normalized delay–bandwidth product
(NDBP), which is defined as the product of n
g
and normalized
bandwidth.
In view of these parameters, the PC CCWs used so far have
some advantages and disadvantages. One advantage is that a
high group index of up to 3000 can be obtained by placing
multiple cavities on a row [22]. However, the typically narrow
bandwidth and small NDBP value will limit the application of
slow light in buffering devices. To solve this problem, various
structures optimized by changing the radius or position of
certain defects have been reported [17–23]. So far, slow light
with NDBP around 0.6 and GVD less than 10
5
(ps
2
/km)
can be obtained in CCW systems [20]. However, as reported
in Ref. [20], to adjust n
g
and the working bandwidth, the
structural parameters must be changed. Therefore, it is still a
challenge to adjust the slow light performance while keeping the
structure unchanged.
In fact, for many practical applications, it is desirable that the
slow light properties be adjusted after the device is fabricated.
For example, optical buffers need to store and release optical
data under an external command. Recently, a novel way to
realize the dynamic modulation of PC devices by the optical
nonlinearity of infiltrated polymers has been proposed. The
basic idea is to modify the refractive index of polymers using a
pump laser and electrical field according to the nonlinear Kerr
effect. Many theoretical and experimental works indicate that
1559-128X/20/030642-06 Journal © 2020 Optical Society of America