photonic generation of microwave signals by exploiting fiber birefringence effect in...
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ratio, even as low as 1.1. This makes the phase shifter ideal in
applications involving FET whose capacitance ratio is normally
small. However, such an implementation requires that the maxi-
mum and minimum capacitances of the varactor of each load
are known accurately. Also, because there is no restriction on
the type of the switch in a load, it can be a PIN diode, a FET,
or a MEMS provided that proper integration with the rest of the
phase shifter circuit is observed.
By using a varactor diode and a PIN diode for each load, an
experimental phase shifter operating at 2.5 GHz was developed.
By considering the parasitics of the diodes and peripheral cir-
cuits, the need for inductors in the resonant circuits of the phase
shifter was eliminated. The measurement confirmed the accuracy
of the theoretical design in general. Any disagreements between
the measured and predicted values of the insertion and return
losses at some bias voltages were believed to be due to the finite
resistances of the diodes and lack of accurate manufacturer’s
specification of the diodes at the desired operating frequency. It
was found that the phase shifter has a bandwidth of �7%. The
performance of the new phase shifter can be improved signifi-
cantly using MMIC technology, where losses and parasitics due
to the connections, and varactor devices can be controlled and
reduced drastically, and where the PIN diodes can be replaced
with FET switches easily for higher efficiency.
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VC 2010 Wiley Periodicals, Inc.
PHOTONIC GENERATION OFMICROWAVE SIGNALS BY EXPLOITINGFIBER BIREFRINGENCE EFFECT INSINGLE-LONGITUDINAL-MODEDISTRIBUTED BRAGG REFLECTORFIBER LAZER
Hao Zhang,1 Bo Liu,1 Jing Sun,2 Jianhua Luo,3
Shuangxia Wang,3 Chenglai Jia,3 and Xiurong Ma21 Key Laboratory of Opto-Electronic Information and Technology,Ministry of Education, Institute of Modern Optics, NankaiUniversity, Tianjin 300071, China; Corresponding author:[email protected] School of Electronics Information Engineering, Tianjin University ofTechnology, Tianjin 300191, China3College of Information Technical Science, Nankai University,Tianjin 300071, China
Received 30 May 2009
ABSTRACT: A novel all-optical microwave generation technique basedon fiber birefringence effect in single-longitudinal-mode (SLM)
distributed Bragg reflector (DBR) fiber lazer is presented. Owing to thebirefringence-induced mode splitting, the proposed lazer could provide amicrowave signal at �1.72 GHz with a 3 dB bandwidth of �30 kHz.
Moreover, another microwave signal at 10.96 GHz could also begenerated as transverse pressure was applied onto the proposed lazer.
Similar phenomenon was observed when another DBR lazer constructedwith Er/Yb co-doped fiber was used, and a microwave signal at 11.47GHz with �33 kHz linewidth have also been achieved. VC 2010 Wiley
Periodicals, Inc. Microwave Opt Technol Lett 52: 535–540, 2010;
Published online in Wiley InterScience (www.interscience.wiley.com).
DOI 10.1002/mop.24961
Key words: photonic generation of microwave signal; single-longitudinal-mode (SLM); distributed Bragg reflector (DBR); fiberlazer; fiber birefringence
1. INTRODUCTION
Because of its low cost, compactness, and immunity to electro-
magnetic interference, photonic generation of microwave signal
has attracted considerable interests and has been extensively stud-
ied in the past few years [1–5]. Generally, photonic generation of
microwave signals could be achieved via external modulation [6]
and optical heterodyning. In the first category, continuous wave is
directly modulated by an intensity or phase modulator. A series of
optical sidebands would be accordingly generated and by appro-
priately selecting two sidebands to be heterodyned at a photode-
tector (PD), the desired microwave signal could be acquired.
Since microwave reference is normally required in the aforemen-
tioned method, optical heterodyning through beating two lazer
beams with desired wavelength separation at a PD is considered
one of the most promising approaches for photonic generation of
microwave signals. In the optical heterodyning scheme, the main
obstacle to generate stable microwave signals with narrow line-
width and low phase noise is to maintain sufficient phase coher-
ence between the two lazer beams. Several techniques to solve the
coherence issue have been investigated, including optical injec-
tion locking [7], phase locking [8], and dual-longitudinal modes
[9] or single-longitudinal-mode (SLM) fiber lazers [10], etc. In
the fiber-lazer–based schemes, as both of the longitudinal modes
oscillate in the same resonator cavity, no additional phase locking
technique is required. In 2005, Shen et al. presented a microwave
generation based on a linear cavity Brillouin finer lazer [11]. By
appropriately designing the lazer parameters, stokes waves with
Brillouin shift relative to the pump light could be generated and
DOI 10.1002/mop MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 3, March 2010 535
then be heterodyned at a PD with the pump light to produce the
required microwave signal. In 2008, Geng et al. proposed another
similar microwave generation technique based on a linear cavity
photonic crystal fiber Brillouin lazer [12]. However, higher pump
power is required to excite higher order stokes waves and more-
over, since the Brillouin shift is determined by the material prop-
erty of the fiber lazer, the frequency of generated microwave sig-
nal is relatively fixed. In 2006, Chen et al. reported a microwave
generation technique based on dual-wavelength SLM fiber ring
lazer [13]. However, to ensure SLM operation, equivalent phase
shift (EPS) technique was involved to fabricate the dual-wave-
length ultranarrow transmission-band fiber Bragg grating (FBG).
And to avoid the lazer instability induced by the homogeneous
broadening effect in erbium-doped fiber (EDF), a semiconductor
optical amplifier (SOA) was used in the ring cavity, which inevita-
bly increases the system cost and complexity.
In this article, an all-optical microwave generation technique
exploiting fiber birefringence effect in the SLM DBR fiber lazer
is proposed and experimentally demonstrated. Owing to the
mode splitting induced by intrinsic fiber birefringence, the pro-
posed fiber lazer could provide a microwave signal at �1.72
GHz. The temperature characteristics of this fiber lazer have
been experimentally investigated. Furthermore, by applying
transverse pressure onto the fiber lazer, a microwave signal at
10.96 GHz was obtained due to the pressure-induced fiber bire-
fringence of the FBG. Moreover, another microwave signal at
11.74 GHz was achieved when another SLM DBR lazer with
different active fiber was used under transverse pressure.
2. EXPERIMENTAL SETUP AND OPERATION PRINCIPLE
Figure 1 shows the schematic diagram of the proposed SLM
DBR fiber lazer for microwave generation. This fiber lazer has a
fundamental Fabry-Perot linear cavity configuration, which is
constituted by a segment of active fiber with two FBGs as the
cavity reflectors. To ensure SLM operation, only active fiber is
utilized as the gain medium. To effectively establish lasing os-
cillation in such a short cavity DBR lazer, two FBGs with
reflectivities of more than 99% are directly inscribed in the gain
fiber with 193 nm excimer and phase mask method [14]. The
proposed DBR lazer is sandwiched between two perspex plates
along the central axis with three supporting fibers on either side
to ensure that transverse pressure could be evenly applied. To
avoid the possible influence of residual forward 980 nm pump
light on the beat signal, backward monitoring scheme is
adopted. And to eliminate any possible reflection, an optical iso-
lator is placed at the signal port of a 980 nm/1550 nm wave-
length division multiplexer (WDM). The backward lazer light is
separated by a 3 dB coupler. One portion of the backward lazer
light is converted into the electric signal via a high-speed PD
and then measured by an electric spectrum analyzer (ESA),
while the other portion is transmitted directly to an optical spec-
trum analyzer (OSA) for real-time lazer wavelength monitoring.
The microwave generation principle of the proposed SLM
DBR fiber lazer could be described as follows. According to the
lazer principle, the lazer frequency of a certain longitudinal
mode m is determined by:
m ¼ cq
2nl(1)
where c is the light velocity in vacuum, n is the effective refrac-
tive index of the fiber core, l represents the cavity length, and qrefers to the order number. Because of intrinsic fiber birefrin-
gence, the two orthogonal longitudinal modes would experience
slight mode splitting, and the frequency corresponding to x and
y polarization modes could be described as:
mx ¼ c
2nxl; my ¼ c
2nyl(2)
where nx and ny represent the refractive indices corresponding to
x and y polarization modes, respectively. Therefore, the beat fre-
quency Dmq between the two orthogonal polarization modes
induced by the intrinsic fiber birefringence could be expressed
as:
Dmq ¼ mx � my ¼ ðny � nxÞcq2nxnyl
(3)
Considering |n�nx| � n, |n�ny| � n, the aforementioned
expression could be approximated as:
Dmq ¼ Bmn
(4)
where B is the intrinsic fiber birefringence (B ¼ ny � nx).Therefore, frequency of the microwave signal generated from
mode splitting induced by intrinsic fiber birefringence could be
expressed by formula (4).
Another factor that may contribute to the generation of
microwave signal is the beat signal between different longitudi-
nal modes. As the DBR fiber lazer has a cavity length of �cm,
in most cases, the proposed lazer operates in SLM and the mode
splitting induced by intrinsic fiber birefringence plays a major
role in the generation of microwave signal. However, when
transverse pressure is applied onto the two FBGs, owing to the
pressure-induced birefringence originating from photoelastic
effect, effective refractive index corresponding to different ori-
entations will change accordingly. For convenience, assume y is
the direction along with the transverse pressure is applied, x rep-
resents the direction vertical to y, and z refers to the fiber axis.
The change of refractive index at a certain point P(x,y,z) in the
FBG can be described as [15]:
ðDneffÞx ¼ � 1
2ðneff;0Þ3½p11ex þ p12ðey þ ezÞ� (5)
ðDneffÞy ¼ � 1
2ðneff;0Þ3½p11ey þ p12ðex þ ezÞ� (6)
Figure 1 Schematic diagram of the proposed single-longitudinal-mode
distributed Bragg reflector fiber lazer for microwave generation. LD,
lazer diode; WDM, wavelength division multiplexer; FBG, fiber Bragg
grating; ISO, isolator; OSA, optical spectrum analyzer; PD, photodetec-
tor; ESA, electrical spectrum analyzer
536 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 3, March 2010 DOI 10.1002/mop
where (Dneff)x and (Dneff)y represent the change of effective
index for x and y polarization modes, respectively; P11 and P12
are photoelastic coefficients of the fiber; ex, ey, and ez refer to
the strain along x, y, and z axis at point P(x,y,z), respectively.By differentiating the Bragg condition k ¼ 2neffK, we have
Dkk
¼ Dneffneff
þ DKK
(7)
where k is the reflection peak wavelength of the FBG, neff is theeffective refractive index of the fiber core, and K represents the
grating period.
According to Eqs. (5) and (6), and considering ez ¼ DLL ¼ DK
K ,
Eq. (7) could be modified as:
For x polarization;
Dkx ¼ ez � 1
2ðneff;0Þ2½p11ex þ p12ðey þ ezÞ�
� �k
(8)
For y polarization;
Dky ¼ ez � 1
2ðneff;0Þ2½p11ey þ p12ðex þ ezÞ�
� �k
(9)
Hence, the wavelength separation D between the two reflec-
tion peaks can be described as:
D ¼ Dky � Dkx ¼ 1
2ðneff;0Þ2ðp12 � p11Þðey � exÞk (10)
As the pressure applied onto the FBG is large enough, the
reflection spectrum of each FBG will split into two reflection
peaks, and dual-wavelength lasing oscillation will occur in the
proposed short cavity fiber lazer. In this case, the wavelength
separation is large enough so that two different longitudinal
modes may oscillate simultaneously to produce the desired
microwave signal. According to Eq. (10), frequency of the
microwave signal generated from pressure-induced birefringence
Dm could be expressed as:
Dm ¼ D
k2c (11)
In the aforementioned equation, as the wavelength separation
is small enough, the initial reflection peak wavelength k of the
FBG without applied pressure is used to approximate the two
reflection peak wavelengths of the FBG under transverse
pressure.
Therefore, microwave generation based on the proposed
SLM DBR fiber lazer could be achieved through two possible
ways. When no pressure is applied onto the fiber lazer, due to
presence of intrinsic fiber birefringence, microwave signal is
generated from the mode splitting of the same longitudinal
mode. And owing to the pressure-induced birefringence when
the fiber lazer is under transverse pressure, microwave signal
could be also acquired through beating between different longi-
tudinal modes.
3. EXPERIMENTAL RESULTS AND DISCUSSION
We have respectively achieved microwave generation with two
short cavity DBR fiber lazers consisting of different active
fibers. In the No.1 DBR lazer, a segment of erbium-doped fiber
(EDF) is utilized as the gain medium. As the fiber lazer has a
cavity length of �cm, it is necessary to ensure sufficient gain
and low cavity loss for effective lasing output. Two FBGs with
reflectivities of more than 99% and matched reflection peaks are
directly inscribed in the EDF. As shown in Figure 2, when the
pump power increases to 125 mW, a single wavelength lazer
around 1554.088 nm with a 3 dB bandwidth of 0.056 nm is
experimentally obtained, and its side mode suppression ratio
(SMSR) reaches �55 dB. The short cavity length of the pro-
posed DBR lazer is short enough to ensure SLM operation,
however, the presence of intrinsic fiber birefringence contributes
to a slight mode splitting, leading to the generation of micro-
wave signal. From Figure 3, it could be seen that as no trans-
verse pressure is applied, the DBR lazer could provide a micro-
wave signal at 1.7203 GHz. The inlet shows that the generated
microwave signal has a narrow 3 dB bandwidth of less than 30
kHz, and 99% of the signal power is concentrated within an
occupied bandwidth of less than 70 kHz, indicating a good pu-
rity of the microwave signal.
To characterize its temperature feature, the proposed DBR
fiber lazer was placed in a temperature controller. From Figure
4, it is clear that as temperature increases from 30.1�C to
110.3�C, the microwave frequency linearly increases from
1.72028 GHz to 1.75357 GHz, and the coefficient of determina-
tion reaches 0.99956. Therefore, the generated microwave
Figure 2 Lazer spectrum of the No. 1 DBR lazer
Figure 3 Electrical spectrum of the microwave signal observed at the
output of photodiode for No. 1 DBR lazer as no transverse pressure is
applied. The inlet shows 3dB bandwidth spectrum of the generated
microwave signal
DOI 10.1002/mop MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 3, March 2010 537
frequency is tunable through temperature control. We have also
investigated the temperature-dependent spectral response of the
No. 1 DBR lazer, as shown in Figure 5. It is obvious that the
lazer peak wavelength increases with the increase of temperature
as well, and the coefficient of determination reaches 0.99958.
As temperature increases, reflection peak of each FBG will
increase accordingly. Owing to the direct inscription of two
FBGs in the gain fiber, the two FBG reflectors have nearly the
same temperature response, which maintains wavelength match-
ing of the two FBGs as temperature changes to promise single
wavelength lasing oscillation. It should be noted that according
to Eq. (4), frequency of the microwave signal generated from
mode splitting is determined by intrinsic fiber birefringence,
lazer operation frequency, and refractive index of the fiber core.
From the aforementioned experimental results, we can see that
the lazer frequency decreases with the increase of temperature.
Besides, several studies indicate that refractive index of silica-
based fiber increases with the increase of temperature [16, 17].
Therefore, the relationship between microwave frequency and
temperature, as shown in Figure 4, should be attributed to the
temperature dependence of intrinsic fiber birefringence. From
Eq. (4), we could calculate the intrinsic fiber birefringence as a
function of temperature. The refractive index of the fiber core
could be calculated according to the definition of numerical
aperture (NA) of the fiber:
NA ¼ffiffiffiffiffiffiffiffiffiffiffiffiffiffiffin21 � n22
q(12)
where n1 and n2 represent the refractive index of the fiber core
and cladding, respectively. According to the Sellmeier equation
[16], we can calculate the refractive index dispersion of silica-
based fiber cladding for a wavelength range of 1554.194 nm to
1555.102 nm at 20�C, corresponding to that in Figure 5. Consid-
ering NA of the EDF used in our experiment is 0.22, the refrac-
tive indices of the EDF core could be obtained for different
wavelengths. Thus, based on the assumption that the refractive
index dispersion of the fiber cladding at 20�C is characterized
by the aforementioned Sellmeier equation with a typical temper-
ature coefficient of 1 � 10�5/�C [17], we could calculate the
temperature dependence of intrinsic fiber birefringence, as
shown in Figure 6. It can be seen that as temperature increases,
intrinsic fiber birefringence increases as well, and the coefficient
of determination reaches 0.99958.
Figure 4 Microwave frequency as a function of temperature for the
No. 1 DBR lazer as no transverse pressure is applied
Figure 5 Lazer peak wavelength as a function of temperature for the
No. 1 DBR lazer as no transverse pressure is applied
Figure 6 Calculated intrinsic fiber birefringence as a function of
temperature
Figure 7 Electrical spectrum of the microwave signal observed at the
output of photodiode for No. 1 DBR lazer as transverse pressure is
applied
538 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 3, March 2010 DOI 10.1002/mop
By applying transverse pressure onto the No.1 DBR lazer,
pressure-induced birefringence in the FBG reflectors cause the
original single lazer peak splits into two wavelengths to produce
a microwave signal with higher frequency. As shown in Figure
7, a microwave signal at 10.96 GHz was experimentally
observed and no beat signal between multiple longitudinal
modes exists within a span of 13.96 GHz, which indicates that
the lazer is operating in SLM. Considering the �cm cavity
length of the DBR lazer, the mode spacing between adjacent
longitudinal modes should be �10.27 GHz, which generally
agrees with our experimental result. This proves that the micro-
wave signal is generated from the beating between two adjacent
longitudinal modes when transverse pressure is applied. The
inaccurate value of cavity length adopted in our calculation is
the main factor resulting in the deviation of experimentally
acquired microwave frequency from the calculated value.
To further verify our theoretical analysis of the microwave
generation principle, another DBR lazer with a piece of �cm
highly concentrated Er/Yb co-doped fiber as the gain medium
was used for microwave generation. When pump power
increases to 158.5 mW, from Figure 8, it can be seen that as the
No. 2 DBR lazer is not under transverse pressure, the lazer pos-
sesses a single peak around 1547.358 nm. When transverse pres-
sure is applied by using the sandwiching device, due to the pres-
ence of pressure-induced birefringence, the lazer peak splits into
two peaks with a wavelength separation of 0.096 nm. It should
be noted that owing to the polarization hole burning (PHB)
effect, the mode competition induced by the homogeneous
broadening of the gain fiber could be suppressed to a large
extend [18, 19]. Hence, the proposed lazer is able to promise
stable lazer output with two orthogonal polarization modes,
which is essential to ensure a good quality of the generated
microwave signal. Figure 9 shows the electric spectra observed
at the output of PD. As no transverse pressure is applied, due to
the mode-splitting induced by intrinsic fiber birefringence, the
No.2 DBR lazer could provide a microwave signal at 216.533
MHz. Since the intrinsic fiber birefringence of the No.2 DBR
lazer is a little bit lower than that of the No.1 DBR lazer, it pro-
vides a microwave signal with lower frequency compared with
the No.2 lazer as no transverse pressure is applied. As shown in
Figure 9(b), when the No.2 lazer is under transverse pressure
through the sandwiching device, a microwave signal at 11.47
GHz is acquired, which is generated from the beating between
two adjacent longitudinal modes corresponding the two lazer
wavelengths in Figure 8(b). From the inlet of Figure 9(b), it
could be seen that the generated microwave signal has a 3 dB
bandwidth of less than 33 kHz, and 99% of signal power is con-
centrated within an occupied bandwidth of �84 kHz.
4. CONCLUSION
In summary, an all-optical microwave generation technique by
exploiting the fiber birefringence effect in SLM DBR fiber lazer
is presented and experimentally demonstrated. By directly
Figure 8 Lazer spectra of the No. 2 DBR lazer: (a) no transverse pressure is applied (b) transverse pressure is applied
Figure 9 Electric spectra observed at the output of photodiode for the
No. 2 DBR lazer: (a) no transverse pressure is applied (b) transverse
pressure is applied
DOI 10.1002/mop MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 3, March 2010 539
inscribing two FBGs with high reflectivties in a piece of �cm
EDF, the proposed DBR fiber lazer could operate in SLM.
Because of mode-splitting induced by intrinsic fiber birefrin-
gence, this lazer could produce a microwave signal at 1.7203
GHz with a 3 dB bandwidth of less than 30 kHz. Furthermore,
by applying appropriate transverse pressure onto the fiber lazer,
owing to the pressure-induced birefringence, another microwave
signal at 10.96 GHz generated from the beating between two
adjacent longitudinal modes has also been experimentally
acquired. The microwave generation principle has been analyzed
in detail. Similar experimental results of another DBR lazer con-
structed with Er/Yb co-doped fiber as the gain medium validates
our theoretical analysis on the microwave generation principle.
As no transverse pressure is applied, due to the presence of
intrinsic fiber birefringence, the proposed lazer could provide a
microwave signal at 216.533 MHz. And when the DBR lazer is
under transverse pressure, owing to the pressure-induced bire-
fringence, stable two wavelength oscillation occurs, and accord-
ingly another microwave signal at 11.47 GHz with a 3 dB band-
width of less than 33 kHz is achieved. The proposed scheme
has presented a simple but cost-effective solution for optical
generation of high-quality microwave signals. Because of its
simple configuration, low cost, high integration, and SLM opera-
tion, the proposed fiber lazer would have various potential appli-
cations in radio-over-fiber systems, high-resolution spectroscopy,
and fiber-optic sensor networks, etc.
ACKNOWLEDGMENTS
This work was jointly supported by the National Key Natural Sci-
ence Foundation of China under Grant No. 60736039, the Tianjin
Key Project of Applied and Basic Research Programs under Grant
No. 07JCZDJC06000, the Key Project of Ministry of Education
under Grant No. 206006, the ‘‘100 Projects’’ of Creative Research
for the Undergraduates of Nankai University under Grant No.
BX6-215, and the National Undergraduate Innovation Experiment
Project under Grant No. 081005511.
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VC 2010 Wiley Periodicals, Inc.
COMPACT QUINTPLEXER MODULE WITHPASSIVE TRIPLEXER FOR US-CDMAHANDSET APPLICATIONS
Seong J. Cheon and Jae Y. ParkDepartment of Electronic Engineering, Kwangwoon University,447-1, Wolgye-Dong, Nowon-Gu, Seoul 139-701, Korea;Corresponding author: [email protected]
Received 30 May 2009
ABSTRACT: In this article, compact quintplexer modules with apassive triplexer circuit were newly designed, implemented, compared
for US-CDMA handset applications. The proposed passive triplexercircuit was comprised of a single diplexer, parallel resonant circuit,
bandpass filter for GPS, and its impedance matching circuit. Althoughthe number of passive components to comprise the proposed triplexerand its size were dramatically reduced, its performance characteristics
were much better than the previously reported modules. Moreover, forrealization of compact quintplexer module with small size and volume,
FBAR filter bare chips and system in package technology were utilizedinstead of an US-PCS packaged duplexer. Its excellent performanceswere good enough to directly apply for currently used handsets.
Simulated and measured performance characteristics of fabricatedtriplexer and quintplexer module were well agreed. The fabricated
quintplexer module had a 7.0 � 5.0 � 1.4 mm3 volume. VC 2010 Wiley
Periodicals, Inc. Microwave Opt Technol Lett 52: 540–543, 2010;
Published online in Wiley InterScience (www.interscience.wiley.com).
DOI 10.1002/mop.24959
540 MICROWAVE AND OPTICAL TECHNOLOGY LETTERS / Vol. 52, No. 3, March 2010 DOI 10.1002/mop