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JOURNAL OF LIGHTWAVE TECHNOLOGY, VOL. 30, NO. 23, DECEMBER 1, 2012 3693 Few Mode Transmission Fiber With Low DGD, Low Mode Coupling, and Low Loss Lars Grüner-Nielsen, Member, IEEE, Member, OSA, Yi Sun, Senior Member, IEEE, Member, OSA, Jeffrey W. Nicholson, Dan Jakobsen, Kim G. Jespersen, Robert Lingle, Jr., Member, IEEE, and Bera Pálsdóttir Abstract—A transmission fiber for mode division multiplexing supporting and modes, with low differential group delay, low mode coupling, and low loss for both modes is presented. imaging) is Spatially and spectrally resolved mode imaging ( used for characterization. Index Terms—Optical fibers, optical fiber measurements. I. INTRODUCTION M ODE division multiplexed transmission in few mode fibers has recently attracted considerable attention as a means of increasing the transmission capacity of a single fiber [1]–[3]. Two different methods for mode division multiplexing have been demonstrated. In the first approach [1], [3], mode coupling during transmission is compensated by multiple input, multiple output (MIMO) processing at the receiver. In the second approach [2], mode coupling in the transmission path is minimized, so the transmitted signals can be separated by detecting each mode separately. The few mode transmission fiber is obviously a key component. The requirements for such a fiber are similar to that of single-mode transmission fibers: low attenuation, low nonlinearity (i.e., a high effective area), and a high dispersion coefficient. In addition, the few mode fiber should support a specific number of well-guided modes, have low differential group delay (DGD), and low coupling between the modes. The fiber should also be able to splice to itself with low splice loss for all guided modes and low cross coupling between the modes. Low DGD is essential for MIMO processing to reduce the complexity and power consumption of the MIMO processing. Low mode coupling between the modes in the transmission fiber is essential for systems without MIMO processing and might be useful for Manuscript received August 30, 2012; revised October 23, 2012; accepted October 24, 2012. Date of publication November 16, 2012; date of current version December 07, 2012. This work was supported by the European Union program FP7-ICT MODE-GAP. L. Grüner-Nielsen, D. Jakobsen, K. G. Jespersen, and B. Pálsdóttir are with OFS Fitel Denmark, DK-2605 Brøndby, Denmark (e-mail: [email protected]; [email protected]; [email protected]; [email protected]). Y. Sun and R. Lingle, Jr. are with OFS, Norcross, GA 30071 USA (e-mail: [email protected]; [email protected]). J. W. Nicholson is with OFS Laboratories, Somerset, NJ 08873 USA (e-mail: [email protected]). Color versions of one or more of the figures in this paper are available online at http://ieeexplore.ieee.org. Digital Object Identifier 10.1109/JLT.2012.2227243 Fig. 1. Illustration of the refractive index profile. systems using MIMO processing to help reduce the complexity of the needed MIMO processing. Most reported few mode transmission fibers [1], [4], [5] have been simple step-index fibers, and suffered from high DGD [4], [5] and high mode coupling [4]. However, the fiber in [1] had an additional trench, which resulted in low DGD. In this paper, we present results from a new fiber design using an index profile based on a graded index core and an outer trench supporting the and modes, corresponding to six degenerations. The new fiber has low DGD, low mode coupling, and low loss for both modes as well as good splice performance. The new fiber can also be fabricated with both negative and positive DGD, and by combining fibers with opposite signs for the DGD, the total accumulated DGD can be minimized. II. DESIGN An illustration of the refractive index profile design is shown in Fig. 1. The refractive index profile consists of a graded index (parabolic shaped) core to obtain the same group velocity for the two modes plus a relatively large difference in effective indices between the modes. The large effective index difference minimizes distributed mode coupling. The inner cladding is configured to improve the bend loss performance of the modes (es) so that the differential mode attenuation is low. pecially and modes above The fiber is designed to only guide 1300 nm. Optical properties of the fiber, obtained from the index profile by solving the scalar wave equation with a finite element mode solver, are summarized in Table I. The difference between effective indices of the modes of is considerably larger than the value of 0733-8724/$31.00 © 2012 IEEE 3694 JOURNAL OF LIGHTWAVE TECHNOLOGY, VOL. 30, NO. 23, DECEMBER 1, 2012 TABLE I PROPERTIES AT 1550 NM FOR THE INDEX PROFILE DESIGN OF FIG. 1 Fig. 2. Schematic of the setup using a tunable laser and CCD camera. TABLE II TYPICAL PROPERTIES AT 1550 NM FABRICATED FIBER. Italic Values Are Calculated From Index Profile. Non-Italic Values Are Measurements of the two-mode fiber reported in [4] where a distributed mode coupling of 18.2 dB for 500 m was measured. In the L-band from 1530 to 1620 nm, it is observed that the DGD is only varying from to ps/nm. A sensitivity study of the parameters in Table I toward small variations of the index profile revealed that the DGD is extremely sensitive to small index profile perturbations, while the other parameters are rather robust. III. RESULTS A preform with the index profile as shown in Fig. 1 has been made with the modified chemical vapor deposition technique. The graded index core is made from silica doped with germania, where the amount of germania is varied from layer to layer to obtain the graded index. The trench is made of silica doped with fluorine, while the outer cladding is made from pure silica. The preforms was overclad with a pure silica tube, drawn into the fiber, and characterized. The mode properties of few mode fibers have been recently characterized by spatially resolved interferometric techniques [6]–[8]. In this study, we measure the mode coupling as well as the DGD between and modes using spatially and spectrally resolved mode imaging ( imaging). Higher order modes (HOMs) in optical fibers propagate with different group delays, and therefore, multiple HOMs copropagating in a fiber produce spectral interference whose beat period is the inverse of the mode group delay difference DGD [9] (1) where is the wavelength, c is the speed of light in vacuum, and L is the fiber length. The technique is based on spectrally and spatially resolving the interference pattern of the guided modes at the output of the fiber. By Fourier transforming the spectra for each spatial point of the mode, beat amplitude versus DGD is found [6]. With relatively simple data analysis [10], one obtains the mode image, HOM power levels, and group delays relative to the fundamental mode. Here, the setup shown in Fig. 2 based on a tunable laser at the input and a camera at the output is used [4], [11], [12]. The tunable laser can be tuned in steps of 0.001 nm. From the aforementioned equation, taking into account that at least two samples per beat period is needed, it is found that the step size of 0.001 nm allows for a maximum DGD of 4000 ps to be measured at 1550 nm. The camera used in these experiments was an InGaAs array (Ophir-Spiricon model XC-130) with 320 256 pixels. The laser was a Tunics external cavity laser from Photonetics. The laser power was set to 3 mW. Multiple neutral density filters were used to attenuate the optical beam to avoid saturating the camera. A polarizer could be included to measure the HOM content for different polarization settings but was not used in this study. The properties of the mode, shown in Table II, were measured with single-mode fibers (SMFs) spliced to the ends. From measurement, it was found that such a splice to SMF gives better than dB suppression of mode. For the measurement of the properties of the mode, the light was launched into the fiber via an in-fiber long period grating (LPG) mode converter. The LPG was thermally induced into a step-index two-mode fiber [13]. The conversion efficiency of the LPG was characterized using the technique. The results are shown in Fig. 3. For comparison, the measured trans- GRÜNER-NIELSEN et al.: FEW MODE TRANSMISSION FIBER WITH LOW DGD Fig. 3. Measured transmission spectrum from to , and power power calculated from the measurement for the LPG mode relative to converter used. (Inset) Measured mode pattern from the mode converter at 1525 nm. mission spectrum from to , i.e., with modes strippers on both sides of the grating, is shown in Fig. 3 as well. A very good agreement between the simple transmission measurement and the measurement is observed in Fig. 3. Better than dB suppression of the in the wavelength range (1540–1560 nm) of the optical time-domain reflectometer (OTDR) used for attenuation measurement is observed. With measurements, it was verified that the LPG could be spliced to the fabricated fiber with a drop in – extinction less than the measurement uncertainty. Typical measurement results for the fabricated fiber are summarized in Table II. Dispersion was measured using an EG&G CD400. Modefield diameter and effective area were measured using a Photon Kinetics PK2210 with a variable aperture unit. Attenuation was measured using two-way OTDR, and polarization-mode dispersion was measured using the interferometric technique. Table II also includes values calculated from the index profile measured on the preform and scaled to the fiber. The properties are found by solving the scalar wave equation with a finite element mode solver. Good agreement is found between calculated and measured DGD, dispersion and effective area of the mode. This gives good confidence in the values for dispersion and effective area of the mode which was not measured. It is observed that the attenuation is quite low, 0.198 dB/km for and even lower. 0.191 dB/km for . The lower attenuation for is attributed to the lower field overlap with the germania-doped core for compared to . The attenuation is measured with the 30 km spooled on a spool with a core radius of 90 mm. The lower loss for , the most bend loss sensitive mode, also confirms that no bend loss is induced for the bend radius of 90 mm. Fig. 4 shows the sum of Fourier transforms for all spatial points for an measurement on the spool listed in Table II from 1550 to 1551 nm in 0.001 nm steps. The peak at corresponds to the fundamental mode. Fig. 4 also shows spatial images obtained from the data analysis for some selected DGDs. Only images corresponding to are observed confirming that this is the only guided mode besides . Measurement on shorter 20 m lengths showed the same: the only HOM observed 3695 Fig. 4. Mode beat versus DGD for 30 km fiber. Fig. 5. Measured preform profile for preform section giving DGD of and ps/m. is . This confirms that the cutoff of next HOM is well below 1550 nm. A clear peak at a DGD of 2270 ps is observed, which is due to beating with launched at the splice. The relative power is found to be dB. The plateau between DGD of 0 and 2270 ps is due to distributed mode coupling and by integrating over this plateau, a distributed mode coupling of dB is found. The plateau above 2300 ps is believed to be mainly due to numerical noise from the Fourier transform due to the limited step size of 0.001 nm. All spools drawn from the preforms were characterized and found to have different DGD values, but otherwise similar optical properties. The preform was designed to have a DGD of zero in average but due to the large sensitivity of the DGD to small variations of the index profile along the length of the preform, the DGD varied along the length of the preform from to ps/nm. In a later second preform, it was possible to control the DGD within to ps/nm. To illustrate how precisely the preform profile should be controlled, Fig. 5 show measured preform profiles yielding DGD of and ps/nm, respectively. Only very small fluctuations in the core layer index differ between the two profiles. To measure the wavelength dependence of the DGD, the interferometric technique was used [1], [9]. A 20 m length of two- 3696 JOURNAL OF LIGHTWAVE TECHNOLOGY, VOL. 30, NO. 23, DECEMBER 1, 2012 Fig. 7. Mode beat versus DGD for the 70 km span. Fig. 6. Measured transmitted power and calculated DGD for 20 m long twomode fiber. TABLE III TYPICAL SPLICE PERFORMANCE FOR SPLICING OF THE FIBER TO ITSELF TABLE IV PROPERTIES OF FIBERS USED FOR THE SPAN mode fiber was offset spliced to an SMF at both ends and connected to a broadband light source and an optical spectrum analyzer. The measured transmission spectrum is shown in Fig. 6. Using (1), DGD versus wavelength is found. The DGD variation in the band from 1530 to 1620 nm is found to be only 0.009 ps/m in this case. This result was typical for all measured samples with DGD at 1550 nm between and ps/m. The splice performance of the fiber to itself was investigated on short pieces. Typical splice loss and mode couplings (measured with the technique), when launching into the mode and mode, respectively, are summarized in Table III. IV. LINK RESULT To further investigate the potential of the new fiber, a 70 km span was spliced together. Three spools from different parts of the preform than the spool of Table II were used. These spools differ from the spool of Table II by having different values of DGD. Total DGD and distributed mode coupling measured by the setup for the three new spools are shown in Table IV. The sign of the DGD cannot be measured with the setup but is determined from simulations based on the refractive index profile. Fig. 8. Mode images at 1530 nm of (a) LP mode and (b) LP tively, after transmission through a 70 km span. mode, respec- The total insertion loss for the 70 km span was measured to be 14.4 dB for the mode and 13.9 dB for the mode at 1530 nm. Measured mode beat versus DGD from measurement after splicing the spools together is shown in Fig. 7. The measurement is performed for two launch conditions: 1) the light is launched into the span from an SMF via a normal splice, and 2) via a splice where the SMF is offset relative to the two-mode fiber to get more light into the mode. The measurement direction is after launching from the SMF: spools 1, 2, and 3. No beat signal is observed for DGD larger than 1844 ps, corresponding to the maximum accumulated DGD with same sign. The apparent peak at 2900 ps, which is only seen for the normal launch, is believed to be a measurement artifact. For the offset launch, a peak around 444 ps is observed, corresponding to a discrete mode coupling of dB, larger than the peak at 1800 ps which corresponds to a discrete mode coupling of dB, independent of the launch condition. The 444 ps peak corresponds to the total accumulated DGD of the three spools. The distributed mode coupling between 0 and 1800 ps is calculated to dB. As with the measurement on the single spool in Fig. 4, the distributed mode coupling is observed to be quite close to the noise floor of the measurement technique. The reason that a small peak is observed at 1800 ps but not at 1400 ps is probably that the mode coupling in the splice between spools 2 and 3 is higher that the two other splices between the two-mode fibers. The low mode coupling is confirmed by the stable mode images on the output of the 70 km span when launching light into either mode or mode, as shown in Fig. 8(a) and (b). GRÜNER-NIELSEN et al.: FEW MODE TRANSMISSION FIBER WITH LOW DGD V. CONCLUSION A new two-mode transmission fiber supporting mode and mode with attenuation for both modes below 0.20 dB/km, DGD below 0.1 ps/m, distributed mode coupling for a 30 km spool below dB, and a good splice performance to itself for both modes has been reported. For spans composed of spools with DGD of opposite signs, the DGD from discrete mode couplings at the input accumulates linearly (including sign). The distributed mode coupling scales approximately linearly with the length. The measurement on a 70 km span with the technique represents more than a factor of 100 increase in fiber lengths previously characterized with the technique. REFERENCES [1] R. Ryf, S. Randel, A. H. Gnauck, C. Bolle, A. Sierra, S. Mumtaz, M. Esmaeelpour, E. C. Burrows, R.-J. Essiambre, P. J. Winzer, D. W. Peckham, A. H. McCurdy, and R. Lingle, Jr., “Mode-division multiplexing over 96 km of few-mode fiber using coherent 6 6 MIMO processing,” J. Lightw. Technol., vol. 30, no. 4, pp. 521–531, Feb. 2012. [2] N. Hanzawa, K. Saitoh, T. Sakamoto, T. Matsui, S. Tomita, and M. Koshiba, “Demonstration of mode-division multiplexing transmission over 10 km two-mode fiber with mode coupler,” in Proc. Opt. Fiber Commun. Conf. Expo., 2011, pp. 1–3. [3] C. Koebele, M. Salsi, D. Sperti, P. Tran, P. Brindel, H. Mardoyan, S. Bigo, A. Boutin, F. Verluise, P. Sillard, M. Astruc, L. Provost, F. Cerou, and G. Charlet, “Two mode transmission at 2 100 Gb/s, over 40 km-long prototype few-mode fiber, using LCOS-based programmable mode multiplexer and demultiplexer,” Opt. Exp., vol. 19, pp. 16593–16600, 2011. [4] K. Jespersen, Z. Li, L. Grüner-Nielsen, B. Pálsdóttir, F. Poletti, and J. Nicholson, “Measuring distributed mode scattering in long, few-moded fibers,” in Proc. Opt. Fiber Commun. Conf. Expo./Nat. Fiber Opt. Eng. Conf., 2012, pp. 1–3. [5] P. Sillard, M. Bigot-Astruc, D. Boivin, H. Maerten, and L. Provost, “Few-mode fiber for uncoupled mode-division multiplexing transmissions,” in Proc. 37th Eur. Conf. Opt. Commun., 2011, pp. 1–3. [6] J. W. Nicholson, A. D. Yablon, S. Ramachandran, and S. Ghalmi, “Spatially and spectrally resolved imaging of modal content in large-modearea fibers,” Opt. Exp., vol. 16, pp. 7233–7243, 2008. [7] Y. Z. Ma, Y. Sych, G. Onishchukov, S. Ramachandran, U. Peschel, B. Schmauss, and G. Leuchs, “Fiber-modes and fiber-anisotropy characterization using low-coherence interferometry,” Appl. Phys. B, vol. 96, pp. 345–353, 2009. [8] D. N. Schimpf, R. A. Barankov, and S. Ramachandran, “Cross-correlated (C2) imaging of fiber and waveguide modes,” Opt. Exp., vol. 19, pp. 13008–13019, 2011. [9] D. Menashe, M. Tur, and Y. Danziger, “Interferometric technique for measuring dispersion of high order modes in optical fibres,” Electron. Lett., vol. 37, no. 24, pp. 1439–1440, Nov. 2001. [10] J. W. Nicholson, A. D. Yablon, J. M. Fini, and M. D. Mermelstein, “Measuring the modal content of large-mode-area fibers,” IEEE J. Sel. Topics Quantum Electron., vol. 15, no. 1, pp. 61–70, Jan. 2009. [11] J. W. Nicholson, L. Meng, J. M. Fini, R. S. Windeler, A. DeSantolo, E. Monberg, F. DiMarcello, Y. Dulashko, M. Hassan, and R. Ortiz, “Measuring higher-order modes in a low-loss, hollow-core, photonicbandgap fiber,” Opt. Exp., vol. 20, pp. 20494–20505, 2012. [12] D. M. Nguyen, S. Blin, T. N. Nguyen, S. D. Le, L. Provino, M. Thual, and T. Chartier, “Modal decomposition technique for multimode fibers,” Appl. Opt., vol. 51, pp. 450–456, 2012. [13] L. Grüner-Nielsen and J. W. Nicholson, “Stable mode converter for and using a thermally induced long conversion between period grating,” in Proc. IEEE Photon. Soc. Summer Top. Meet., 2012, pp. 214–215. Lars Grüner-Nielsen (M’07) was born in Copenhagen, Denmark, in 1959. He received the Master’s degree in electrical engineering and the Ph.D. degree in optical fibers from the Technical University of Denmark, Copenhagen, in 1983 and 1998, respectively. From 1983 to 1994, he was with the Danish cable manufacture NKT’s R&D Department for optical cables where in 1991 he became a Section Manager. 3697 Since 1994, he has been with the R&D Department, OFS Fitel Denmark, Brøndby, Denmark. At OFS, he has been involved in the development of new fibers for transmission, optical signal processing, and short pulse lasers, where since 2000, he has been a Project Manager and became an OFS Fellow in 2008. He has authored or coauthored more than 200 scientific publications within the field of fiber optics. He holds 10 patents. Dr. Grüner-Nielsen is a member of the Optical Society of America. In 2000, he received the Electro Price from the Danish Society of Engineers. From 2004 to 2007 he was a member of the European Conference on Optical Communication Technical Program Committee. He has also served as a reviewer for several journals. Yi Sun (M’06–SM’10) received the B.S. and M.S. degrees in astronomy from Peking University, Beijing, China, in 1992 and 1995, respectively. She received the second M.S. degree in electrical engineering (in optical communication program) and the Ph.D. degree in physics from Northwestern University, Evanston, IL, in 1999 and 2001, respectively. From 1995 to 1996, she was at Funder Corporation for digital printing system. Since 2001, she has been with Bell Labs, and then OFS Labs as a member of Technical Staff in the Fiber and System R&D Department, Norcross, GA. She has many publications in peer-reviewed journals and conferences and holds several patents in optical fibers. Her current research interests include the areas of novel fiber design and system transmission. Dr. Sun is a member of the Optical Society of America. She has served as a reviewer for IEEE journals and session chairs in APC. She has received the 2001 Spirit of Endeavor Award from the Technology Association of Georgia and TechAmerica of Georgia. Jeffrey W. Nicholson was born in Louisville, KY, in 1969. He received the B.S. degree in physics from the University of Houston, Houston, TX, in 1991, and the Ph.D. degree in optical sciences from the University of New Mexico, Albuquerque, in 1997. After graduation, he was a Postdoctoral Researcher with Los Alamos National Laboratory, in the area of short pulse propagation and with Directed Energy Solutions, Albuquerque, in the area of high-power gas lasers. Since 2000, he has been with Bell Labs, and then OFS Labs as a member of Technical Staff in the Optical Fiber Research Group, Somerset, NJ. His current interests include fiber lasers and amplifiers and nonlinear propagation effects in fibers. Dan Jakobsen was born in Copenhagen, Denmark, in 1966. He received the Bachelor’s degree in chemical process engineering in 1991. After graduation, he was with R&D Department, OFS Fitel Denmark, Brøndby, Denmark, primarily with the modified chemical vapor deposition process. Kim G. Jespersen was born in Fredericia, Denmark, in 1971. He received the Master’s degree in terahertz physics from Aarhus University in 1998. After a short stay in Telecom working with wireless networks, he returned to scientific research and received the Ph.D. degree in optics at The National Research Lab, Copenhagen, Denmark, in 2003. After graduation, he was a Postdoctoral Researcher in the Department of Chemical Physics, Lund University, Lund, Sweden, in the area of femtosecond spectroscopy of organic solar cell materials and at NKT Research in the area of short-pulsed fiber lasers and supercontinuum generation. Since 2006, he has been with the R&D Department, OFS Fitel Denmark, Brøndby, Denmark, where he was involved with dispersion-managed fibers for short-pulsed fiber lasers and other specialty optical fibers. Robert Lingle, Jr. (M’02) received the Ph.D. degree in physics from Louisiana State University, Baton Rouge. He is the Director of Fiber Design and Systems Research Group, OFS, Norcross, GA, as well as an Adjunct Professor of electrical and computer engineering at the Georgia Institute of Technology, Atlanta. He has a research background in short pulse lasers and their application to fundamental processes in liquids and interfaces. He was a Postdoctoral Researcher in surface physics at 3698 JOURNAL OF LIGHTWAVE TECHNOLOGY, VOL. 30, NO. 23, DECEMBER 1, 2012 the University of California, Berkeley. At Bell Labs and currently OFS, he was involved in sol-gel materials chemistry and managed the development and commercialization of new optical fibers for fiber-to-the-home, long haul, and submarine networks. His current research interests include ultralarge area fibers, few-mode fibers, and the confluence of optical and electrical methods for mitigating impairments in transport. Copenhagen, Denmark, in 1990, and the Ph.D. degree from Aarhus University, Aarhus, Denmark, in 1994. She was with the R&D Department of Lycom and Lucent Technologies. Since 1991, she has been with OFS Fitel Denmark, Brøndby, Denmark, where he is currently the Manager of the Incubation Center. Her research interests include erbium-doped fibers and amplifiers, Yb- and Tm-doped fibers, Raman amplification, and components for ultrafast fiber lasers. Bera Pálsdóttir received the B.Sc. degree from the University of Iceland, Reykjavik, Iceland, in 1986, the M.Sc. degree from the University of Copenhagen,