Analysis of all-optical demultiplexing from 160/320 Gbit/s to 40 Gbit/s using quantum-dot...
Transcript of Analysis of all-optical demultiplexing from 160/320 Gbit/s to 40 Gbit/s using quantum-dot...
ANALYSIS OF ALL-OPTICALDEMULTIPLEXING FROM 160/320 Gbit/sTO 40 Gbit/s USING QUANTUM-DOTSEMICONDUCTOR OPTICAL AMPLIFIERSASSISTED MACH-ZEHNDERINTERFEROMETER
Wei Yang,1 Min Zhang,2 and Peida Ye21 Beijing Information Science and Technology University (BISTU),Beijing 100081, People’s Republic of China; Corresponding author:[email protected] Laboratory of Optical Communication and LightwaveTechnologies, Beijing University of Posts and Telecommunications,Ministry of Education, P.O. Box 201, Beijing 100876, People’sRepublic of China
Received 12 October 2009
ABSTRACT: The performance of ultrafast all-optical demultiplexer
using quantum-dot semiconductor optical amplifiers (QD-SOAs) assistedMach-Zehnder interferometer (MZI) is analyzed. Through numericalsimulations, a set of key parameters are optimized and all-optical
demultiplexing from 160/320 Gbit/s to 40 Gbit/s can be realized withfairly high performance. The results are useful for the system
performance studies and practical application. VC 2010 Wiley
Periodicals, Inc. Microwave Opt Technol Lett 52: 1629–1633, 2010;
Published online in Wiley InterScience (www.interscience.wiley.com).
DOI 10.1002/mop.25287
Key words: demultiplexing; quantum-dot semiconductor opticalamplifier; Mach-Zehnder interferometer
1. INTRODUCTION
In the optical time-division multiplexed (OTDM) systems, opti-
cal demultiplexing is an essential technique for extracting a sig-
nal channel at the base rate from a multiplexed high-bit-rate
data stream. A number of demultiplexers have been proposed
using effect of four-wave mixing (FWM) in semiconductor opti-
cal amplifier (SOA) [1], ultrafast chirp dynamics in a single
SOA [2–4], a ultrafast nonlinear interferometer (UNI) employing
an SOA [5], a fiber-loop with a LiNbO3 Mach-Zehnder modula-
tor (MZM) [6], cross-phase modulation in a dispersion-shifted
photonic crystal fiber and subsequent spectral filtering [7], a
variable optical delay [8], and electroabsorption modulators
(EAMs) under high-frequency sinusoidal modulation [9, 10].
And those schemes using SOAs are attractive, owing to the
SOAs’ characteristics of high gain, low switching power, and
wide gain bandwidth. The methods in Refs. 1 and 5 are success-
fully demonstrated for line rates of up to 160 Gbit/s, but for
much higher operation speed, the applications are limited due to
the slow gain recovery speed of the SOAs. In Refs. 2–4, the
ultrafast chirp dynamics in SOAs is utilized to achieve the 320/
640 Gbit/s optical demultiplexing. Recently, multi-section SOAs
have also been applied to extract 25 Gbit/s tributary channel
from a 100 Gbit/s RZ pattern [11–13]. On the other hand, the
switch performance using conventional SOAs may be improved
by using quantum-dot SOAs (QD-SOAs), due to their great
potential for high-speed optical communications and optical
processing [14–18], such as low noise figure and small degree
of patterning. Wavelength conversions at 160 Gbit/s using XGM
or XPM in QD SOAs have been simulated in Refs. [19–21].
In this article, we present a high-performance all-optical
demultiplexer employing QD-SOAs and MZI, which is capable
of demultiplexing 160/320 Gbit/s line-rate signals to 40 Gbit/s
base-rate channels. Such demultiplexer features simple structure,
high stability, low switching energy, and high integration ability.
Meanwhile, due to the use of symmetrical MZI architecture, the
operation condition is easy to adjust. We give detailed theoreti-
cal study and simulation analysis, and then advices on parame-
ters selection are drawn for the performance optimization.
2. SCHEME AND OPERATION PRINCIPLE
Figure 1 shows the configuration of QD-SOAs assisted symmet-
rical MZI, with two QD-SOAs located in relatively the same
position of the two arms. For demultiplexing, the 160 Gbit/s
data signal at kS enters the upper arm of MZI via coupler C2,
acting as the control signal. A clock stream at kC, via coupler
C1, is divided into two parts, acting as the probe signal. We
assume that the clock and the data have been synchronized. In
the upper arm, the data signal modulates the QD-SOA1 gain,
and thus gain and phase of the copropagating probe signal via
cross-gain modulation (XGM) and cross-phase modulation
(XPM) effect. Hence, the gain and the phase difference are
introduced between the probe signals in the two arms. Both
probe signals interfere at coupler C3, causing a copy of the data
signal onto the probe wavelength kC at time slots where the
clock pulse is present. If the clock pulse is running at a sub-rate
of the data, one data channel at the sub-rate can be demulti-
plexed at the clock wavelength.
For simplicity, an ideal facet reflectivity is assumed, and the
effect of amplified spontaneous emission (ASE) on the gain sat-
uration is ignored since QD-SOA has lower noise figure com-
pared to bulk as well as QW amplifiers [22]. The theoretical
model for QD-SOA is based on the wave propagation equations
and the rate equations for wetting layer (WL), excited state
(ES), and ground state (GS). The propagation equations for the
photon density S and phase U can be written as [23].
@Sðz; tÞ@z
¼ gS� aintS (1)
@U@z
¼ � 1
2ag (2)
where S(z,t) ¼ P(z,t)/(AeffVghv), P(z,t) is the power, Aeff is the
QD-SOA’s effective cross section, z is the distance in longitudi-
nal direction, g is the modal gain, aint is the absorption coeffi-
cient of the material, and a is the linewidth enhancement factor.
By assuming uniform distributions of electrons and holes in
the QDs, the modal gain can be written as g ¼ gmax(2f�1),
where gmax is the maximum modal gain, f is the electron occu-
pation probability of the GS [18]. The rate equations for the
electron densities of WL, ES, and GS can be written, respec-
tively, as [15–17]
Figure 1 Schematic diagrams of the high speed demultiplexing using
QD-SOA assisted MZI
DOI 10.1002/mop MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 7, July 2010 1629
@Nw
@t¼ J
eLw� Nwð1� hÞ
sw2þ Nwh
s2w� Nw
swR(3)
@h
@t¼ NwLwð1� hÞ
NQsw2� NwLwh
NQs2w� ð1� f Þh
s21þ f ð1� hÞ
s12(4)
@f
@t¼ ð1� f Þh
s21� f ð1� hÞ
s12� f 2
s1R� gL
NQ
S � Vg (5)
where t is time, Nw is the electron density in the WL, h is the
electron occupation probability of the ES, sw2 is the electron
relaxation time from the WL to the ES, s2w is the electron
escape time from the ES to the WL, swR is the spontaneous
radiative lifetime in WL, and s1R is the spontaneous radiative
lifetime in the QDs. s21 is the electron relaxation time from the
ES to the GS and s12 is the electron escape time from the GS to
the ES. NQ is the surface density of QDs and Lw is the effective
thickness of the active layer.
Equationuations (1)–(5) describe the evolution of optical
wave in the active region of QD-SOA, and they are solved by
dividing the QD-SOA into sections, where the carrier densities
are considered constant at each time step. After calculation, the
QD-SOAs gains (Gi, i ¼ 1 and 2) and the pulse phase-shifts
(D/i, i ¼ 1 and 2) in both arms are expressed as:
GiðtÞ ¼ SiðL; tÞ=Sið0; tÞ (6)
D/iðtÞ ¼ � a2½lnðGiÞ þ aint � L� (7)
where Si(0,t) and Si(L,t) are the probe photon densities at input
and output of QD-SOAs. At the output of the MZI, the two
probe lights at kc interfere and the demultiplexed output inten-
sity is described as:
PoutðtÞ ¼ 1
4PprobeðtÞ
G1ðtÞ þ G2ðtÞ � 2ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiG1ðtÞ � G2ðtÞ
pcos ½D/1ðtÞ � D/2ðtÞ�
n oð8Þ
3. SIMULATIONS AND RESULTS
To analyze and optimize the demultiplexer performance, we
conduct numerical simulations, where the OTDM signal is 160
Gbit/s RZ pseudorandom bit sequences (PRBS) with length of
27�1, and the clock signal is 40 GHz with a pulsewidth of 2 ps.
The investigated device is a typical QD-SOA with values of the
material parameters: Lw ¼ 0.2 lm, W ¼ 3 lm, NQ ¼5 � 1010cm�2, gmax¼ 12 cm�1, aint ¼ 2 cm�1, sw2 ¼ 3 ps, s2w ¼1 ns, s21 ¼ 0.16 ps, s21 ¼ 1.2 ps, swR ¼ 1 ns, and s1R ¼ 0.4 ns.
To start, we study the QD-SOA parameters (e.g., the length
L, the linewidth-enhancement factor a, and so on) and the bias
current density (J) for the demultiplexing operation, with the op-
tical signal parameters fixed. The calculated 3 dB input satura-
tion power as a function of the current density in case of various
SOA lengths is plotted in Figure 2. The saturation power
increases with the current density, for that larger current density
can supply more carriers to compensate the carrier consumption.
Meanwhile, under the same current density, the saturation power
decreases with the increase of the SOA length, which means
that the QD-SOA can be saturated easily (with lower input
power) in case of longer device length. With the input data
energy (E1) and clock energy (E2) fixed at 200 fJ and 3 fJ,
respectively, we plot the contrast ratio (CR) of the demulti-
plexed signal against J with L as a parameter under different
linewidth-enhancement factor, as shown in Figure 3. No wonder,
larger J and shorter L may yield better switching performance.
It is also found that under the same J and L, smaller a may be
beneficial to obtain larger CR, and the effect of a becomes
stronger on the conditions of larger L. Since in our simulations,
the input CR is 20 dB, the maximum output CR is lower than
20 dB. When a ¼ 0.1, to get a CR over 10 dB, J should be
larger than 0.8, 1.7, and 5 kA/cm2 for L ¼ 2 mm, 4 mm, and 6
mm, respectively. In practical use of QD-SOA, too large current
density may be unfeasible, which limits the use of longer QD-
SOA. On the other hand, longer L corresponds to larger unsatu-
rated gain. Therefore, a moderate QD-SOA length should be
selected to achieve a good demultiplexer performance while
maintaining an efficient gain.
Then, setting L ¼ 4 mm and a ¼ 0.1, we go on to study the
output ‘‘pseudo-eye-diagrams’’ (PED) under different current
density, as shown in Figure 4. Obviously, when J � 2 kA/cm2,
a clearly-opened eye diagram can be obtained and the output Q-factor is larger than 10, which indicates the good quality of the
demultiplexed signal.
Figure 2 3 dB input saturation power as a function of the current den-
sity J for different SOA length L
Figure 3 Output CR against J at different SOA length L and a, withE1 ¼ 200 fJ, E2 ¼ 3 fJ, where open marks, � center marks and solid
marks correspond to a ¼ 0.1, a ¼ 1.0, and a ¼ 2, respectively
1630 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 7, July 2010 DOI 10.1002/mop
According to the analysis above, we select moderate values
of L, J, and a here and simulate the 160-to-40 Gbit/s demulti-
plexing operation. The corresponding input and output signals
are plotted in Figure 5, which conveys the demultiplexing is real-
ized desirably. Obviously, the data channel that is synchronized
with the clock is obtained after demultiplexing, while the other
channels are restrained. Different data channel can be obtained
by introducing some delay (nT, n ¼1, 2, 3) into the clock signal.
Then, fixing the values of the other parameters, we study the
output CR, Q-factor, and the average output power (Pout) with
respect to the input data energy (E1). Here, the linewidth-
enhancement factor is also selected as a parameter. As shown in
Figure 6, with the increase of the control pulse energy, CR
decreases quickly and then the decrease slows down. The influ-
ence of a on CR is the same as described in Figure 3, i.e.,
smaller a is beneficial to obtain larger CR, and when 0.1 � a �1, such effect can be neglected in the whole range of the signal
energy studied here. Regarding Figure 7, when 0.1 � a � 1, Q-factor is not greatly affected by the changes of the control pulse
energy, and at moderate pulse energy (e.g. E1 < 0.4 pJ), larger
a is beneficial to get a higher Q-factor. When a ¼ 2, however,
the influence of the pulse energy on Q-factor is apparent, and
the rapid increase and decrease in Q-factor are observed, with
the boundary point of E1 ¼ 0.25 pJ. Thus for larger pulse
energy (e.g., E1 > 0.4 pJ), increasing a (a � 2) may degrade
the Q-factor. Such evident differences between a ¼ 0.1,1 and a¼ 2 may be explained partly by Figure 8, where the average
output power increases with the pulse energy for a ¼ 0.1,1, and
when E1 > 0.4 pJ, the increase slows down and Pout tends to
become a constant. While for a ¼ 2, Pout increases first and
then decreases when E1 > 0.25 pJ. The insets in Figure 7 are
the output eye-diagrams at different operation points (A, B, C,
D, and E). Based on the analysis above, the trade-off among the
output CR, Q-factor and Pout can be obtained by choosing
proper values of a and data energy. Here, we set a ¼ 1 to
achieve a large effective range of the data energy.
In the following context, we give an overall analysis of the
demultiplexer performance by optimizing the input date energy
to achieve an output CR of 10 dB. The optimal data energy as a
function of the current density for different device lengths of 4
mm and 6 mm are plotted in Figure 9(a). Since that CR
decreases with the data energy as described in Figure 6, to get a
CR larger than 10 dB the input data energy should be lower
than the optimal energy. Thus, the larger the optimal data
energy is, the larger the effective range of the input data energy.
It can be found in Figure 9(a) that the effective energy range
Figure 5 Input logic signals and simulated output signals for L ¼ 4
mm, a ¼ 0.1, J ¼ 2 kA/cm2, E1 ¼ 200 fJ, E2 ¼ 3 fJ
Figure 6 Output CR for the demultiplexing operation, with a as a
parameter for L ¼ 4 mm, J ¼ 2 kA/cm2 and E2 ¼ 3 fJ
Figure 4 Output eye-diagrams at different current density: (a) J ¼ 1.5
kA/cm2, (b) J ¼ 2 kA/cm2, (c) J ¼ 2.5 kA/cm2, (d) J ¼ 3 kA/cm2, for
L ¼ 4 mm, a ¼ 0.1, E1 ¼ 200 fJ, E2 ¼ 3 fJ
Figure 7 Output Q-factor for the demultiplexing operation, with a as
a parameter for L ¼ 4 mm, J ¼ 2 kA/cm2 and E2 ¼ 3 fJ
DOI 10.1002/mop MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 7, July 2010 1631
can be extended by increasing the current density or reducing
the device length. When L ¼ 6 mm, to achieve the effective
demultiplexing operation, the current density should be larger
than 3.5 kA/cm2. Then, we study the output Q-factor within the
effective energy range, where the CR is larger than 10 dB. The
corresponding Q-factor for L ¼ 4 mm at J ¼ 2 kA/cm2, J ¼ 2.5
kA/cm2, and J ¼ 3 kA/cm2 is shown in Figure 9(b), and that for
L ¼ 6 mm is given in the inset. When L ¼ 4 mm and J � 2
kA/cm2, the output Q-factor is larger than 8 in the effective
energy range, and when L ¼ 6 mm and J � 3.5 kA/cm2, the Q-factor >8 is also obtained.
Using the same methods, we conduct the 320-to-40 Gbit/s
demultiplexing and the demultiplexer performance is described
in Figure 10. It is obvious that under the same current density
and the device length, the effective range of the input data
energy is smaller than that of the 160-to-40 Gbit/s demultiplex-
ing, and when L ¼ 6 mm, to achieve the effective demultiplex-
ing operation, the current density should be larger than 4.5 kA/
cm2. Also, in the effective energy range, the corresponding Q-factor is �3 lower than that of the 160-to-40 Gbit/s demultiplex-
ing. According to Figures 9 and 10, we can select proper device
length, current density, and input data energy to meet specific
performance requirements.
Based on the analysis above, advices on parameter design
and performance optimization for the ultrafast OTDM demulti-
plexer are drawn as follows:
(1) Shorter L and larger current density may lead to larger
input saturation power and consequently higher CR can
be obtained; however, with other parameters fixed, reduc-
ing the device length may reduce the unsaturated gain of
the QD-SOA. Thus, to maintain an efficient gain, a mod-
erate device length should be selected.
(2) Smaller a is beneficial to get a larger CR, and its influ-
ence on CR may become apparent with the increase of
the device length and the input data energy.
(3) The effect of a on Q-factor is related with the data
energy; under moderate current density (J ¼ 2 kA/cm2)
and relatively small probe energy (E2 ¼ 3 fJ), increasing
a (0.1 � a � 2) may enhance the Q-factor when E1 <0.4 pJ, but for E1 > 0.4 pJ, larger a (a ¼ 2) may degrade
the demultiplexer performance in terms of the Q-factorand the average output power. To meet certain perform-
ance requirement, the input data energy may be opti-
mized according to the QD-SOA parameter (a).(4) Shorter L and larger current density may result in a
larger effective range of the input data energy for CR
>8. When L ¼ 4 mm, the effective energy range is E1 <0.275 pJ, E1 < 0.425 pJ, E1 < 0.57 pJ for J ¼ 2 kA/
cm2, J ¼ 2.5 kA/cm2, and J ¼ 3 kA/cm2, respectively;
moreover, the corresponding Q-factor is larger than eight.
For a longer device (L ¼ 6 mm), to get a CR larger
than 10 dB, the current density should be larger than
3.5 kA/cm2.
(5) Under the same conditions, the calculated energy range
of the 320-to-40 Gbit/s demultiplexing is smaller than
that of the 160-to-40 Gbit/s operation; meanwhile, the
corresponding Q-factor is �3 lower than that of the 160-
to-40 Gbit/s demultiplexing. For a longer device (L ¼ 6
mm), to get a CR larger than 10 dB, the current density
should be larger than 4.5 kA/2.
4. CONCLUSIONS
In this article, the all-optical demultiplexing from 160/320 Gbit/
s to 40 Gbit/s is achieved using quantum-dot semiconductor op-
tical amplifiers (QD-SOAs) assisted Mach-Zehnder interferome-
ter (MZI). The performance of the demultiplexer is analyzed
through numerical simulations, and the QD-SOAs parameters
(e.g., the length L, the linewidth-enhancement factor a, and so
Figure 8 Average output power against E1, with a as a parameter for
L ¼ 4 mm, J ¼ 2 kA/cm2 and E2 ¼ 3 fJ
Figure 9 Demultiplexing performance of 160-to-40 Gbit/s (a) the
input data energy for CR ¼ 10 dB and (b) the corresponding output
Q-factor, with E2 ¼ 3 fJ and a ¼ 1
Figure 10 Demultiplexing performance of 320-to-40 Gbit/s (a) the
input data energy for CR ¼ 10 dB and (b) the corresponding output
Q-factor, with E2 ¼ 3 fJ and a ¼ 1
1632 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 7, July 2010 DOI 10.1002/mop
on), the current density (J) and the optical signal energy are
studied for the demultiplexing operation. According to the
analysis, good performance of the 160/320-to-40 Gbit/s demulti-
plexing can be achieved, and the effective energy range for
CR � 10 dB at different device length and current density is
determined. Then, we study the corresponding Q-factor in the
effective energy range. The conclusions in the article can be
applied for parameter selection to optimize the demultplexer
performance.
ACKNOWLEDGMENTS
This study is supported by Programs NCET-06-0094, 863 No.
2007AA01Z243, 863 No. 2009AA01z255, PCSIRT No.IRT0609,
111 Project (NO. B07005), and Beijing New Star Programme of
Science and Technologies (2007A048).
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SHIELDING BOX ANTENNA FORAPPLICATION IN WUSB FLASH DISK
Hu YonghongNo.365 Institute, Northwestern Polytecnical University, 34 SouthFenghui Road, Xi’an, China; Corresponding author:[email protected]
Received 13 October 2009
ABSTRACT: A novel design of ultra-wideband (UWB) antenna for
wireless USB (WUSB) flash disk is presented. The baseband moduleshielding box and the RF module shielding box, two necessary parts for
a WUSB flash disk, are subtly used as the radiators, which means thatno other radiators are needed for the antenna in our design. A shortingtube is used as the signal wire channel to connect the baseband module
and the RF module, which also is a shorting wire of the antenna. A
DOI 10.1002/mop MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 7, July 2010 1633