Highly GeO
2
Doped Polarization Maintaining PCF
for Dispersion Compensation
Sk. Nayemuzzaman
1
, Shekh Farhad Uddin Ahmed, Md. Imrul Hasan and Mohammad Faisal
Department of Electrical and Electronic Engineering
Bangladesh University of Engineering and Technology, Dhaka-1205, Bangladesh
1
nayem.buet@gmail.com
Abstract—In this paper a highly GeO
2
doped single mode
equiangular spiral photonic crystal fiber (HDES-PCF) is
proposed to achieve high birefringence with extremely high
negative dispersion, higher nonlinearity with low confinement
loss for E+S+C+L+U band of interest. From the simulation
results, large negative dispersion of −602.7803 ps/nm/km at 1.33
μm and −903.5316 ps/nm/km at 1.55 μm is achieved. High
birefringence 5.8×10
-2
at 1.33 μm, 5.3×10
-2
at 1.55 μm with very
low confinement loss is also achieved. Our proposed structure is
also suitable for nonlinear applications because of nonlinearity
~133.9298 W
−1
km
−1
is achieved at 1.33 μm and ~79.1229 W
−1
km
−1
is achieved at 1.55 μm wavelength. The proposed PCF can be
used in dispersion compensation, optical sensor, higher bit rate
coherent communication, and polarization maintaining fiber etc.
Index Terms— Birefringence, Photonic crystal fiber, Dispersion
compensation, Finite element method
I. INTRODUCTION
Photonic crystal fiber is a new technology that paves the way
in optical communication due to its unique properties. In
comparison to conventional optical fiber, PCF shows basic
properties like birefringence, nonlinearity and chromatic
dispersion that can be tailored to achieve extraordinary
outputs. For example, birefringence can be produced by
adopting asymmetric structures in the PCF design. Many
methods can be applied to increase birefringence. The fiber
core can be designed to be asymmetrical (e.g., double or triple
defects in the fiber core). High birefringence up to the order of
10
-2
is found in recent research works. Birefringence of
0.01544 is reported in [1], 0.0315 is reported in [2] and 0.022
is reported in [3]. Higher value of birefringence is a key
concern for coherent communication and sensing application
etc.
Nonlinearity is also an important property of PCF that was
also discussed in the reports mentioned above. Nonlinear
coefficient of 58 W
−1
km
−1
and 68 W
−1
km
−1
is reported in [2], [3]
respectively. However higher nonlinearity is achieved using
GeO
2
doped core. Spiral design with higher nonlinearity of is
reported for visible range [4]. The ES-PCF is much compact
and simple as compared to conventional PCF. So increasing
nonlinearity will let us use PCF for nonlinear applications like
four-wave mixing, supercontinuum generation, and second
harmonic generation. In addition, it is also desired to decrease
the complexity of PCF design.
Standard single mode fiber (SSMF) used in the long
distance transmission channel can face pulse broadening due
to its higher value of positive dispersion. It limits the
transmission capacity. To mitigate this problem dispersion
compensating fiber (DCF) in the transmission link can be used
as an effective way to compensate the positive dispersion in
the system. This is necessary to neutralize the dispersion as it
creates great trouble in higher bit rate transmission. The main
purpose of DCF should have large negative with flattened
dispersion [5]. Also higher birefringence is necessary to
maintain the polarization state which is useful in first order
polarization mode dispersion (PMD) compensation.
Birefringent PCFs also have potential applications in signal
processing systems, electro-optical modulation systems and
optical sensor designs [6]. Researchers around the world
worked past years on birefringence and negative dispersion.
Silva et al. in [7] proposed a Ge doped core PCF having low
negative dispersion of −212 ps/nm/km that demands long fiber
requirements. The DCFs proposed by Islam et al. based on
equiangular spiral photonic crystal fibers (ES-PCFs) in [8] and
[9] provide average negative dispersion of −227 and −393
ps/nm/km respectively. Another DCF reported by Tee et al.
[10] that exhibits high average negative dispersion of −457.40
ps/nm/km. Moreover, polarization properties were not
considered here. Recently, an octagonal PCF has been
proposed in [11] to achieve large negative dispersion of
−558.96 ps/nm/km. This structure has different sized elliptical
air-holes that make the fabrication process too complex. So
having large negative dispersion is a challenging goal for
dispersion compensating applications. In this paper, an
equiangular spiral PCF is designed to achieve suitable
dispersion property along with highly GeO
2
doped core for
higher nonlinearity. The elliptical core offers higher
birefringence.
II. DESIGN METHODOLOGY AND FABRICATION
Figure 1 shows the cross-section of proposed Highly
Doped-Equiangular Spiral PCF (HDES-PCF) with
concentrated GeO
2
doped elliptical core in the center. The
cladding structure has gradually increasing air-holes C1, C2,
C3, C4, C5, C6, C7 and C8 as in Fig. 1. The host material is
silica. Two ellipses E0, E1 and two extra air-holes A0, A1 are
added to introduce asymmetry in the design. This PCF has 6
arms having 8 rings per arm with equiangular spiral design.
The position of the center of each circular air-hole is adopted
from the following equations.
(1)
(2)
Where α is the constant angle between a radius of the
equiangular spiral and the tangent at the end point of the
radius and r
spiral
is the distance at any point along the spiral
arm from the centre of the structure. Each air-hole is separated
9th International Conference on Electrical and Computer Engineering
20-22 December, 2016, Dhaka, Bangladesh
978-1-5090-2963-1/16/$31.00 ©2016 IEEE
550