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 Improvement of radio-on-multimode ber systems based on light injection and optoelectronic feedback techniques Hai-Han Lu  a, * , Guan-Lin Chen  a , Yao-Wei Chuang  a , Chia-Chin Tsai  b , Chien-Pen Chuang  b a Institute of Electro-Optical Engineering, National Taipei University of Technology, 1, Section 3, Chung-Hsiao East Road, Taipei 10608, Taiwan, ROC b Institute of Industrial Education, National Taiwan Normal University, Taiwan, ROC Received 10 April 2006; received in revised form 5 May 2006; accepted 8 May 2006 Abstract A radio-on-multimode ber (MMF) system based on vertical-cavity surface-emitting lasers (VCSELs) injection-locked and optoelec- tron ic feed back tech niqu es is propo sed and demo nstrat ed. Injec tion locking and opto elect ronic feedback achieves large frequency response of the VCSEL, resulting in good performances of intermodulation distortion to carrier ratio (IMD/C), error vector magnitude (EVM), and bit error rate (BER). Using VCSELs as optical sources in radio-on-MMF systems are very attractive, as they are relatively simple to fab ricateand pot ent ial ly low -cost.Suc h a propos ed radio-on -MMF sys tem is sui tab le for the short- hau l mic rowave opt ica l lin ks.  2006 Elsevier B.V. All rights reserved. Keywords:  Injection-locked; Optoelectronic feedback; Radio-on-multimode ber; Vertical-cavity surface-emitting laser 1. Introduction Rec entl y, rad io-o n-ber (ROF) tra nsp ort sys tems, in which micro-cells in a wide area connected by optical bers and radio signals transmitted over optical ber links among central station (CS) and base stations (BSs), have attracted much attentions. This is because of the low loss and enor- mous bandwidth of the optical ber, the increasing demand for capacity, and the benet it oers in terms of low-cost de pl oyment , all of which make it anideal ca ndidate for real - izing ROF transport systems [1–4]. In previous studies, dis- tributed feedback (DFB) laser diode is used as an optical source in ROF transport systems. In ROF transport sys- tems, vertical-cavity surface-emitting laser (VCSEL) can be used to replace DFB laser diode due to its low-cost  [ 5]. Owing to the limitation of the inherent linearity character- istic, DFB laser diode has many advantages over VCSEL. For the comparison of ROF–DFB and ROF–VCSEL, it can be expected that the performance of ROF–DFB is bet- te r than that of the ROF–VCSEL. But, DFB la ser di od e is a high-cost optical source. For a practical implementation of ROF transport systems, it is necessary to develo p low-co st sys tems. The fea sibilit y of employi ng inj ect ion-locked VCSELs in rad io- on-mult imod e be r (MMF) tra nsport systems was demon strate d previo usly  [6]. However, sys - tems’ performance can be further improved by using opto- electr onic feedback techn ique  [7–10]. In this pa pe r, we proposed and demonstrated a potentially low-cost radio- on-MMF system for IEEE 802.11a/b applications based on VCSELs injection-locked and optoelectronic feedback techniques. Injection locking and optoelectronic feedback achieves large frequency response of the VCSEL. VCSEL with injection-lo cked exhibits an increment in freque ncy res ponse, and the optoel ect roni c fee dba ck can fur the r enhan ce it  [11]. Goo d per formances of int ermo dul ation distortion to carrier ratio (IMD/C), error vector magnitude (EVM), and bit error rate (BER) were obta ined in our proposed radio-on-MMF systems. 0030-4018/$ - see front matter   2006 Elsevier B.V. All rights reserved. doi:10.1016/j.optcom.2006.05.009 * Cor res pond ing author. Tel.: +886 2 2771 217 1x46 21; fax : +886 2 87733216. E-mail address:  [email protected] (H.-H. Lu). www.elsevier.com/locate/optcom Optics Communications 266 (2006) 495–499

Mejora de Los Sistemas de Radio de La Fibra

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Improvement of radio-on-multimode fiber systems based on light injection and optoelectronic feedback techniques
Hai-Han Lu  a,*, Guan-Lin Chen  a, Yao-Wei Chuang  a, Chia-Chin Tsai  b, Chien-Pen Chuang  b
a Institute of Electro-Optical Engineering, National Taipei University of Technology, 1, Section 3, Chung-Hsiao East Road,
Taipei 10608, Taiwan, ROC  b Institute of Industrial Education, National Taiwan Normal University, Taiwan, ROC 
Received 10 April 2006; received in revised form 5 May 2006; accepted 8 May 2006
Abstract
A radio-on-multimode fiber (MMF) system based on vertical-cavity surface-emitting lasers (VCSELs) injection-locked and optoelec- tronic feedback techniques is proposed and demonstrated. Injection locking and optoelectronic feedback achieves large frequency response of the VCSEL, resulting in good performances of intermodulation distortion to carrier ratio (IMD/C), error vector magnitude (EVM), and bit error rate (BER). Using VCSELs as optical sources in radio-on-MMF systems are very attractive, as they are relatively simple to fabricate and potentially low-cost. Such a proposed radio-on-MMF system is suitable for the short-haul microwave optical links.  2006 Elsevier B.V. All rights reserved.
Keywords:   Injection-locked; Optoelectronic feedback; Radio-on-multimode fiber; Vertical-cavity surface-emitting laser
1. Introduction
Recently, radio-on-fiber (ROF) transport systems, in which micro-cells in a wide area connected by optical fibers and radio signals transmitted over optical fiber links among central station (CS) and base stations (BSs), have attracted much attentions. This is because of the low loss and enor- mous bandwidth of the optical fiber, the increasing demand for capacity, and the benefit it offers in terms of low-cost deployment, all of which make it an ideal candidate for real- izing ROF transport systems [1–4]. In previous studies, dis- tributed feedback (DFB) laser diode is used as an optical source in ROF transport systems. In ROF transport sys- tems, vertical-cavity surface-emitting laser (VCSEL) can be used to replace DFB laser diode due to its low-cost [5]. Owing to the limitation of the inherent linearity character- istic, DFB laser diode has many advantages over VCSEL.
For the comparison of ROF–DFB and ROF–VCSEL, it can be expected that the performance of ROF–DFB is bet- ter than that of the ROF–VCSEL. But, DFB laser diode is a high-cost optical source. For a practical implementation of  ROF transport systems, it is necessary to develop low-cost systems. The feasibility of employing injection-locked VCSELs in radio-on-multimode fiber (MMF) transport systems was demonstrated previously   [6]. However, sys- tems’ performance can be further improved by using opto- electronic feedback technique   [7–10]. In this paper, we proposed and demonstrated a potentially low-cost radio- on-MMF system for IEEE 802.11a/b applications based on VCSELs injection-locked and optoelectronic feedback techniques. Injection locking and optoelectronic feedback achieves large frequency response of the VCSEL. VCSEL with injection-locked exhibits an increment in frequency response, and the optoelectronic feedback can further enhance it   [11]. Good performances of intermodulation distortion to carrier ratio (IMD/C), error vector magnitude (EVM), and bit error rate (BER) were obtained in our proposed radio-on-MMF systems.
0030-4018/$ - see front matter    2006 Elsevier B.V. All rights reserved.
doi:10.1016/j.optcom.2006.05.009
* Corresponding author. Tel.: +886 2 27712171x4621; fax: +886 2 87733216.
E-mail address:  [email protected] (H.-H. Lu).
www.elsevier.com/locate/optcom
2. Experimental setup
The experimental system configuration of our proposed radio-on-MMF transport systems based on VCSELs injec- tion-locked and optoelectronic feedback techniques is pres- ent in  Fig. 1. The solid line represents optical signal path, and the dash line represents electrical signal one. The aim is to transmit microwave signals from CS to BS over MMF transmission. 11-Mbps data stream was initially mixed with 2.4 GHz microwave carrier to generate the data signal (IEEE 802.11b), and 54-Mbps data stream was ini- tially mixed with 5.8 GHz microwave carrier to generate the data signal (IEEE 802.11a). The resulting microwave data signals were then combined to directly modulate the VCSEL1. The combined data signals are injected into the VCSEL2 via a 3-port polarization maintaining optical cir- culator (OC). The VCSEL2, with a central wavelength of  1590 nm, exhibits a light output of 7 dBm at a bias current of 8 mA. The VCSEL1 is coupled into the port1 of OC, the injection-locked VCSEL2 is coupled into the port 2 of OC, and the port 3 of OC is separated off by a 1  ·  2 optical split- ter. This 3-port polarization maintaining OC is worth employing due to excellent optical characteristics including low insertion loss (0.8 dB) and high isolation (>40 dB). Such a high isolation ability prevents reflected laser light from getting into the VCSEL1. VCSEL1 and VCSEL2 have typically two possible polarizations, however, VCSEL1 and VCSEL2 will have identical polarizations after passing through the polarization maintaining OC. Half of the laser output was used for feedback through an optoelectronic feedback loop, and the other half of the laser output was used for MMF transmission. In the optoelectronic feedback loop, fiber span between OC and the pin photodiode1 (PD1) is a MMF patchcord. The PD1 converts laser light into microwave data signals to directly modulate the VCSEL2. As to the MMF transmission part, fiber transmis- sion between OC and the PD2 is MMF with different length
from 0.5 to 3.5 km. After the optical signal received by the PD2, the output of the PD2 is separated off by a 1  ·  2 RF splitter, then applied to the spectrum analyzer and the RF tunable band-pass filter (TBPF) to select the appropriate microwave signal. Through the RF TBPF, the selected microwave signal is also separated off by a 1  ·  2 RF splitter, then applied to the vector signal analyzer and the demodu- lator. The fundamental signal and intermodulation distor- tion terms are investigated by two-tone signal at 2.4 and 5.8 GHz. The IMD/C value is analyzed by using a spectrum analyzer. The EVM value is measured by using a vector sig- nal analyzer under various MMF lengths. 11 and 54 Mbps data signals are demodulated and fed into a BER tester for BER analysis after demodulation.
3. Experimental results and discussions
The frequency response of the VCSEL2 for free running, with 10 dBm light injection, as well as with 10 dBm light injection and feedback is shown in  Fig. 2. In the free running case, the laser resonance frequency is around 2.8 GHz; with 10 dBm light injection, the laser resonance frequency is increased to 5 GHz; with 10 dBm light injec- tion and feedback, the laser resonance frequency is increased up to 8.5 GHz. Injection locking achieves about 1.8 times (5/2.8 1.8) enhancement in the laser resonance frequency; the optoelectronic feedback further enhances the laser resonance frequency up to 3 times (8.5/2.8 3).
The rate equations for laser diode with light injection and optoelectronic feedback techniques are given by  [12]
on
sn
G  P  þ k loop½ P ðt  sÞ  P av ð1Þ
o P 
2 aðG  G siÞ
Fig. 1. Experimental system configuration of our proposed radio-on-MMF transport systems based on VCSELs injection-locked and optoelectronic feedback techniques.
 
where  n   is the carrier density,  I   is the slave pumping cur- rent,  V  is the laser active volume,  sn  is the carrier lifetime, G  is the gain, P  is the photon density, k loop is the feedback coefficient,   s  is the delay of the feedback loop,   P av   is the average photon density,  sp  is the photon lifetime,  sg  is the cavity transit time,  P i  is the external injection power,  h  is the phase difference between salve and master lasers, df is the frequency detuning, and  a  is the linewidth enhancement factor. The slave laser relaxation oscillation damping rate Cf  can be derived from the above rate equations. The opto- electronic feedback increases the stability of the laser diode when  Cf  >  C0  (damping rate as laser diode only with light injection), resulting in out-of-phase carrier re-injection. The laser resonance frequency  f 0  can be stated in  [13]
 f 20 ¼   g 0 P 
4p2sp
ð4Þ
where   g 0   is the gain coefficient. Out-of-phase carrier re- injection increase the photon density, in which leading to an improvement of laser resonance frequency.
Electrical spectra of the received signals for free running, with 10 dBm light injection, as well as with 10 dBm light injection and feedback are present in  Fig. 3(a)–(c), respec- tively. In the free running case, the IMD/C level is 54 dBc; with 10 dBm light injection, the residue IMD/C level is 60 dBc; with 10 dBm light injection and feedback, the residue IMD/C level of  72 dBc is obtained. Compared to the free running case, 6 dB value improvement of  IMD/C is obtained as light injection technique is employed. However, a huge 18 dB IMD/C value improvement is achieved as light injection and optoelectronic feedback techniques are simultaneously employed. The use of light injection and optoelectronic feedback techniques increases the resonance frequency of VCSEL, letting system with lower IMD/C value.
The EVM values at various MMF lengths for free run- ning, with   10 dBm light injection, as well as with 10 dBm light injection and feedback are shown in Fig. 4(a) and (b), respectively. EVM represents the depar- ture from a perfectly modulated carrier, departure from ideal amplitude gives rise to a proportional increase in
EVM. For the IEEE 802.11a standard (5.8 GHz/54 Mbps), the worst case EVM should not exceed 5.6%; for the IEEE 802.11b standard (2.4 GHz/11 Mbps), the worst case EVM should not exceed 3.5%. For 2.4 GHz/11 Mbps data signal; in the free running case, the EVM value can be satisfied at 1.5 km MMF length, with a fiber bandwidth of 3.6 GHz km (2.4 GHz  ·  1.5 km). With  10 dBm light injection, the EVM value can be satisfied at 2 km MMF length, with a fiber bandwidth of 4.8 GHz km (2.4 GHz ·  2 km). With
-30
-20
-10
0
10
Frequency (GHz)
   R   e   s   p   o   n   s   e    (   d    B    )
free running
Fig. 2. The frequency response of the VCSEL2.
-100
-80
-60
-40
-20
0
Frequency (GHz)
   R   e   c   e    i  v   e    d    R    F    P   o   w   e   r    (   d    B   m    )
54 dB
Frequency (GHz)
   R   e   c   e    i  v   e    d    R    F    P   o   w   e   r    (   d    B   m    )
2.4 3.4 4.8 5.8
Frequency (GHz)
   R   e   c   e    i  v   e    d    R    F    P   o   w   e   r    (   d    B   m    )
2.4 3.4 4.8 5.8
(a)
(b)
(c)
Fig. 3. (a) Electrical spectra of the received signal for free running. (b) Electrical spectrum of the received signal with 10 dBm light injection. (c) Electrical spectrum of the received signal with10 dBm light injection and feedback.
 
10 dBm light injection and feedback, the EVM value can be satisfied at 3.5 km MMF length, with a fiber bandwidth of 8.4 GHz km (2.4 GHz  ·  3.5 km). Compared to the free running case, 4.8 GHz km fiber bandwidth improvement is obtained as light injection and optoelectronic feedback techniques are simultaneously employed. For 5.8 GHz/ 54 Mbps data signal; in the free running case, the EVM value can be satisfied at 1.2 km MMF length, with a fiber bandwidth of 6.96 GHz km (5.8 GHz ·  1.2 km). With 10 dBm light injection, the EVM value can be satisfied at 1.8 km MMF length, with a fiber bandwidth of   10.44 GHz km (5.8 GHz ·  1.8 km). With 10 dBm light injection and feedback, the EVM value can be satisfied at 3 km MMF length, with a fiber bandwidth of 17.4 GHz km (5.8 GHz  ·  3 km). Compared to the free running case, 10.44 GHz km fiber bandwidth improvement is obtained as light injection and optoelectronic feedback techniques are simultaneously employed.
The measured BER curves as a function of the received optical power for free running, with 10 dBm light injec- tion, as well as with 10 dBm light injection and feedback
are plotted in  Fig. 5(a) and (b), respectively. For 2.4 GHz/ 11 Mbps data signal at a BER of 109; in the free running case, the received optical power is   21.4 dBm; with 10 dBm light injection, the received optical power is 24.3 dBm; with 10 dBm light injection and feedback, the received optical power is 30 dBm. Compared to the free running case, 8.6 dB of the received optical power reduction is achieved when light injection and optoelec- tronic feedback techniques are simultaneously employed. For 5.8 GHz/54 Mbps data signal at a BER of 109; in the free running case, the received optical power is 21 dBm; with10 dBm light injection, the received optical power is23.8 dBm; with10 dBm light injection and feed- back, the received optical power is 29.6 dBm. Compared to the free running case, 8.6 dB of the received optical power reduction is achieved when light injection and optoelec- tronic feedback techniques are simultaneously employed.
Most injection locking experiments involving data trans- mission have the follower laser (VCSEL2) modulated. In this experiment, VCSEL1 is modulated. It has been pre- viously predicted that in such a configuration, there should
0
1
2
3
4
MMF Length (km)
   E    V    M
MMF Length (km)
   E    V    M
free running
-10 dBm injection and feedback
Fig. 4. (a) The EVM values at various MMF lengths (2.4 GHz/11 Mbps). (b) The EVM values at various MMF lengths (5.8 GHz/54 Mbps).
-35 -32 -29 -26 -23 -20 -17
Received Optical Power ( dBm )
10-5
10-6
10-7
10-8
10-9
10-10
10-11
Received Optical Power ( dBm )
10-5
10-6
10-7
10-8
10-9
10-10
10-11
(a)
(b)
Fig. 5. (a) The measured BER curves as a function of the received optical power (2.4 GHz/11 Mbps). (b) The measured BER curves as a function of  the received optical power (5.8 GHz/54 Mbps).
 
be a significant attenuation of the data  [14]. In this experi- ment, with 10 dBm light injection technique only, the modulation suppression is 30 dB. However, with 10 dBm light injection and optoelectronic feedback techniques simultaneously, the modulation suppression is decreased to 14 dB. Systems’ transmission performance affected by low modulation suppression value is limited. Optoelec- tronic feedback technique causes out-of-phase carrier re- injection, and thereby increases laser resonance frequency. The lasers resonance frequency  f 0  can be approximated by [15,16]
 f 0 ffi   3G 
1=2
ð5Þ
where q  is the electron charge,  I b is the bias current, and I th is the threshold current. It shows that   f 0   increases with a decreased threshold current. Optoelectronic feedback tech- nique increases laser resonance frequency, leading to threshold current reduction, finally resulting in higher opti- cal power launched into the fiber. The higher optical power we get, the lower modulation suppression we obtain. Opto- electronic feedback technique is employed as a compensa- tion scheme to compensate for the modulation suppression.
4. Conclusion
We proposed and demonstrated a potentially low-cost radio-on-MMF system for IEEE 802.11a/b applications based on VCSELs injection-locked and optoelectronic feedback techniques. Good performances of IMD/C, EVM, and BER were obtained in our proposed systems. Such a proposed radio-on-MMF system will benefit the deployment of the short-haul microwave optical link.
Acknowledgment
The authors thank the financial support from the Na- tional Science Council of the Republic of China under Grant NSC 94-2215-E-027-001.
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