Abstract
The chapter provides a discussion of optical fiber amplifiers and through three sections provides a detailed treatment of three types of optical fiber amplifiers, erbium doped fiber amplifiers (EDFA), Raman amplifiers, and parametric amplifiers. Each section comprises the fundamentals including the basic physics and relevant in-depth theoretical modeling, amplifiers characteristics and performance data as a function of specific operation parameters. Typical applications in fiber optic communication systems and the improvement achievable through the use of fiber amplifiers are illustrated.
Similar content being viewed by others
Notes
- 1.
The signal length \(L_{\mathit{eff}}^{s}\) is defined through the relation \(P_{s}^{0}L_{\mathit{eff}}^{s} = \int_{0}^{L} P_{s}(z)dz\), where \(P_{s}^{0}\) is the signal power at \(z = 0\). In the absence of gain and assuming that the loss rate at the signal and pump wavelength are identical, the signal effective length equals the Raman effective length in (12.23).
References
A.T. Pedersen, L. Grüner-Nielsen, K. Rottwitt, Measurement and modeling of low wavelength losses of silica fibers and their impact at communication wavelengths. J. Lightwave Technol. 27, 1296–1300 (2009)
P.C. Becker, N.A. Olson, J.R. Simpson, Erbium-Doped Fiber Amplifiers, Fundamentals and Technology (Academic Press, San Diego, 1999)
E. Desurvire, Erbium Doped Fiber Amplifiers, Principles and Applications (Wiley, New York, 1994)
M.J.F. Digonet, Rare-Earth-Doped Fiber Lasers and Amplifiers, 2nd edn. (Marcel Dekker, New York, 1993)
C.R. Giles, E. Desurvire, Modeling erbium-doped fiber amplifiers. J. Lightwave Technol. 9, 271–283 (1991)
Y. Sun, J.L. Zyskind, A.K. Srivastava, Average inversion level, modeling, and physics of erbium-doped fiber amplifiers. IEEE J. Sel. Top. Quantum Electron. 3, 991–1007 (1997)
P.F. Wysocki, J.R. Simpson, D. Lee, Prediction of gain peak wavelength for Er-doped fiber amplifiers and amplifier chains. IEEE Photonics Technol. Lett. 6, 1098–1100 (1994)
V.L. Mazurczyk, J.L. Zyskind, Polarization dependent gain in erbium doped-fiber amplifiers. IEEE Photonics Technol. Lett. 6, 616–618 (1994)
J. Nagel, The dynamic behaviour of amplified systems, in Opt. Fiber Commun. Conf. (OFC’98), San Jose, CA, USA (1998), Techn. Digest, paper ThO3
B. Pálsdóttir, Erbium doped AirClad fibers for high power broad band amplifiers and single mode erbium doped fibers for high performance amplifiers and lasers, in Opt. Fiber Commun. Conf. and Nat. Fiber Opt. Eng. Conf. (OFC/NFOEC’08), San Diego, CA, USA (2008), Techn. Digest, paper OTuJ1
O. Lumholt, J.H. Povlsen, K. Schüsler, A. Bjarklev, S. Dahl-Pedersen, T. Rasmussen, K. Rottwitt, Quantum limited noise figure operation of high gain erbium doped fiber amplifiers. J. Lightwave Technol. 11, 1344–1352 (1993)
Y. Sun, A.K. Srivastava, J. Zhou, J.W. Sulhoff, Optical fiber amplifiers for WDM networks. Bell Labs Tech. J. 4, 187–206 (1999)
M.N. Zervas, R.I. Laming, D.N. Payne, Efficient erbium-doped fiber amplifiers incorporating an optical isolator. IEEE J. Quantum Electron. 31(3), 472–480 (1995)
F. Koch, B. Palsdottir, J.O. Olsen, T. Veng, B. Flintham, R. Keys, 30 dBm wideband air-clad EDFA using two pump lasers, in Opt. Fiber Commun. Conf. and Nat. Fiber Opt. Eng. Conf. (OFC/NFOEC’08), San Diego, CA, USA (2008), Techn. Digest, paper OWU3
K.P. Hansen, J. Broeng, P.M.W. Skovgaard, J.R. Folkenberg, M.D. Nielsen, A. Petersson, T.P. Hansen, C. Jakobsen, H.R. Simonsen, J. Limpert, F. Salin, High-power photonic crystal fiber lasers: design, handling and subassemblies, in Fiber Lasers II: Technology, Systems and Applications, San Jose, CA, USA (2005), Proc. SPIE, vol. 5709, pp. 273–283
O. Schmidt, J. Rothhardt, T. Eidam, F. Röser, J. Limpert, A. Tünnermann, K.P. Hansen, C. Jakobsen, J. Broeng, Single-polarization ultra-large-mode-area Yb-doped photonic crystal fiber. Opt. Express 16, 3918–3923 (2008)
S. Ramachandran, J.W. Nicholson, S. Ghalmi, M.F. Yan, P. Wisk, E. Monberg, F.E. Dimarcello, Light propagation with ultralarge modal areas in optical fibers. Opt. Lett. 31, 1797–1799 (2006)
S. Ramachandran, K. Brar, S. Ghalmi, K. Aiso, M. Yan, D. Trevor, J. Flemming, C. Headley, P. Wisk, G. Zydzik, M. Fisteyn, E. Monberg, F. Dimarcello, High-power amplification in a 2040 μm2 higher order mode, in Photonics West, San Jose, CA, USA (2007), Techn. Digest, PDP LBN-7
T. Eidam, C. Wirth, C. Jauregui, F. Stutzki, F. Jansen, H.-J. Otto, O. Schmidt, T. Schreiber, J. Limpert, A. Tünnermann, Experimental observations of the threshold-like onset of mode instabilities in high power fiber amplifiers. Opt. Express 19(14), 13218–13224 (2011)
M. Karow, H. Tünnermann, J. Neumann, D. Kracht, P. Weßels, Beam quality degradation of a single-frequency Yb-doped photonic crystal fiber amplifier with low mode instability threshold power. Opt. Lett. 37, 4242–4244 (2012)
A.V. Smith, J.J. Smith, Influence of pump and seed modulation on the mode instability threshold of fiber amplifiers. Opt. Express 20, 24545–24558 (2012)
K.R. Hansen, T.T. Alkeskjold, J. Broeng, J. Lægsgaard, Thermally induced mode coupling in rare-earth doped fiber amplifiers. Opt. Lett. 37, 2382–2384 (2012)
K.R. Hansen, T.T. Alkeskjold, J. Broeng, J. Lægsgaard, Theoretical analysis of mode instability in high-power fiber amplifiers. Opt. Express 21(2), 1944–1971 (2013)
M.M. Johansen, K.R. Hansen, M. Laurila, T.T. Alkeskjold, J. Lægsgaard, Estimating modal instability threshold for photonic crystal rod fiber amplifiers. Opt. Express 21(13), 15409–15417 (2013)
N. Bozinovic, Y. Yue, Y. Ren, M. Tur, P. Kristensen, H. Huang, A.E. Willner, S. Ramachandran, Terabit-scale orbital angular momentum mode division multiplexing in fibers. Science 340(6140), 1545–1548 (2013)
N. Bai, E. Ip, Y.-K. Huang, E. Mateo, F. Yaman, M.-J. Li, S. Bickham, S. Ten, J. Liñares, C. Montero, V. Moreno, X. Prieto, V. Tse, K.M. Chung, A.P.T. Lau, H.-Y. Tam, C. Lu, Y. Luo, G.-D. Peng, G. Li, T. Wang, Mode-division multiplexed transmission with inline few-mode fiber amplifier. Opt. Express 20(3), 2668–2680 (2012)
V.A.J.M. Sleiffer, Y. Jung, V. Veljanovski, R.G.H. van Uden, M. Kuschnerov, H. Chen, B. Inan, L. Grüner-Nielsen, Y. Sun, D.J. Richardson, S.U. Alam, F. Poletti, J.K. Sahu, A. Dhar, A.M.J. Koonen, B. Corbett, R. Winfield, A.D. Ellis, H. de Waardt, 73.7 Tb/s (\(96\times3\times256\mbox{-Gbs}\)) mode-division-multiplexed DP-16QAM transmission with inline MM-EDFA. Opt. Express 20(26), B428–B438 (2012)
R. Ryf, N.K. Fontaine, H. Chen, A.H. Gnauck, Y. Jung, Q. Kang, J.K. Sahu, S.U. Alam, D.J. Richardson, Y. Sun, X. Jiang, L. Grüner-Nielsen, R.V. Jensen, R. Lingle Jr., 72 Tb-s transmission over 179-km all-fiber 6 mode span with two cladding pumped in-line amplifiers, in Proc. 41st Europ. Conf. Opt. Commun. (ECOC’15), Valencia, Spain (2015), paper ID 0634
Q. Kang, E. Lim, Y. Jun, X. Jin, F.P. Payne, S. Alam, D.J. Richardson, Gain equalization of a six-mode-group ring core multimode EDFA, in Proc. 40th Europ. Conf. Opt. Commun. (ECOC’14), Cannes, France (2014), paper P.1.14
C. Simonneau, P. Genevaux, G. Le Cocq, Y. Quiquempois, L. Bigot, A. Boutin, M. Bigot-Astruc, P. Sillard, G. Charlet, 5-Mode amplifier with low modal crosstalk for spatial mode multiplexing transmission with low signal processing complexity, in Proc. 41st Europ. Conf. Opt. Commun. (ECOC’15), Valencia, Spain (2015), paper ID 0131
J.-B. Trinel, Y. Quiquempois, A. Le Rouge, L. Garcia, J.-F. Morizur, G. Labroille, L. Bigot, Optical amplifier sharing for single mode fibers: amplification of 5 non-degenerate modes in an elliptical-core FM-EDFA, in Proc. 41st Europ. Conf. Opt. Commun. (ECOC’15), Valencia, Spain (2015), paper ID:0522
P. Genevaux, C. Simonneau, G. Charlet, Challenges in the design of few mode EDFAs, in Opt. Fiber Commun. Conf. (OFC’16), Anaheim, CA, USA (2016), Techn. Digest, paper Tu2I.2
K. Rottwitt, H.D. Kidorf, A 92 nm bandwidth Raman amplifier, in Opt. Fiber Commun. Conf. (OFC’98), San Jose, CA, USA (1998), Techn. Digest, post-deadline paper PD6
K. Rottwitt, J.H. Povlsen, A. Bjarklev, O. Lumholt, B. Pedersen, T. Rasmussen, Noise in distributed erbium doped fibers. IEEE Photonics Technol. Lett. 5, 218–221 (1993)
J. Bromage, K. Rottwitt, M.E. Lines, A method to predict the Raman gain spectra of germanosilicate fibers with arbitrary index profiles. IEEE Photonics Technol. Lett. 14, 24–26 (2002)
K. Rottwitt, A. Stentz, Raman amplification in lightwave communication systems, in Optical Fiber Telecommunication IVA, ed. by I. Kaminov, T. Li (Academic Press, San Diego, 2002). Chap. 5
H. Kidorf, K. Rottwitt, M. Nissov, M. Ma, E. Rabarrijoana, Pump interactions in a 100 nm bandwidth Raman amplifier. IEEE Photonics Technol. Lett. 11, 530–532 (1999)
K. Rottwitt, Distributed Raman amplifiers, in Raman Amplification, ed. by G. Agrawal, C. Headley (Academic Press, San Diego, 2005). Chap. 3
K. Rottwitt, J. Bromage, A.J. Stentz, L. Leng, M.E. Lines, H. Smith, Scaling the Raman gain coefficient: applications to germanosilicate fibers. J. Lightwave Technol. 21, 1652–1663 (2003)
K. Rottwitt, J.H. Povlsen, Analyzing the fundamental properties of Raman amplification in optical fibers. J. Lightwave Technol. 23, 3597–3605 (2005)
R.W. Hellwarth, Third-order optical susceptibilities of liquids and solids. Prog. Quantum Electron. 5(1), 1–68 (1977)
S. Popov, E. Vanin, G. Jacobsen, Influence of polarization mode dispersion value in dispersion-compensating fibers on the polarization dependence of Raman gain. Opt. Lett. 27, 848–850 (2002)
Q. Lin, G.P. Agrawal, Statistics of polarization-dependent gain in fiber-based Raman amplifiers. Opt. Lett. 28, 227–229 (2003)
Q. Lin, G.P. Agrawal, Vector theory of stimulated Raman scattering and its application to fiber-based Raman amplifiers. J. Opt. Soc. Am. B 20, 1616–1631 (2003)
J. Bromage, Raman amplification for fiber communication systems. J. Lightwave Technol. 22, 79–93 (2004)
P.B. Hansen, L. Eskildsen, A.J. Stentz, T.A. Strasser, J. Judkins, J.J. DeMarco, R. Pedrazzani, D.J. Digiovanni, Rayleigh scattering limitations in distributed Raman pre-amplifiers. IEEE Photonics Technol. Lett. 10, 159–161 (1998)
J. Auyeng, A. Yariv, Spontaneous and stimulated Raman scattering in long low loss fibers. IEEE J. Quantum Electron. QE-14, 347–352 (1978)
G.P. Agrawal, Nonlinear Fiber Optics, 3rd edn. (Academic Press, San Diego, 1995)
J. Stark, P. Mitra, A. Sengupta, Information capacity of nonlinear wavelength division multiplexing fiber optic transmission line. Opt. Fiber Technol. 7, 275–288 (2001)
M. Nissov, K. Rottwitt, H. Kidorf, F. Kerfoot, Rayleigh crosstalk in long cascades of distributed unsaturated Raman amplifiers. Electron. Lett. 35, 997–998 (1999)
C.R.S. Fludger, V. Handerek, R.J. Mears, Pump to signal RIN transfer in Raman fiber amplifiers. J. Lightwave Technol. 18, 1140–1148 (2001)
M.O. van Deventer, Polarization properties of Rayleigh backscattering in single-mode fibers. J. Lightwave Technol. 11, 1895–1899 (1993)
L.F. Mollenauer, K. Smith, Demonstration of soliton transmission over more than 4000 km in fiber with loss periodically compensated by Raman gain. Opt. Lett. 13, 675–677 (1988)
D. Fishman, W.A. Thompson, L. Vallone, LambdaXtreme transport system; R&D of a high capacity system for low cost ultra long haul DWDM transport. Bell Labs Tech. J. 11, 27–53 (2006)
G. Charlet, E. Corbel, J. Lazaro, A. Klekamp, R. Dischler, P. Tran, W. Idler, H. Mandoyan, A. Konczykowska, F. Jorge, S. Bigo, WDM transmission at 6 Tbit/s capacity over transatlantic distance, using 42.7-Gb/s differential phase-shift keying without pulse carver. J. Lightwave Technol. 23, 104–107 (2005)
A.H. Gnauck, G. Charlet, P. Tran, P.J. Winzer, C.R. Doerr, J.C. Centanni, E.C. Burrows, T. Kawanishi, T. Sakamoto, K. Higuma, 25.6 Tb/s WDM transmission of polarization multiplexed RZ-DQPSK signals. J. Lightwave Technol. 26, 79–84 (2008)
G. Charlet, J. Renaudier, H. Mardoyan, P. Tran, O.B. Pardo, F. Verluise, M. Achouche, A. Boutin, F. Blache, J.-Y. Dupuy, S. Bigo, Transmission of 16.4 bit/s capacity over 2550 km using PDM QPSK modulation format and coherent receiver. J. Lightwave Technol. 27, 153–157 (2009)
R. Ryf, A. Sierra, R.-J. Essiambre, S. Randel, A. Gnauck, C.A. Bolle, M. Esmaeelpour, P.J. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, D. Peckham, A. McCurdy, R. Lingle, Mode-equalized distributed Raman amplification in 137-km few-mode fiber, in Proc. 37th Europ. Conf. Opt. Commun. (ECOC’11), Geneva, Switzerland (2011), PDP Th.13.K5
R. Ryf, R.-J. Essiambre, J. von Hoyningen-Huene, P.J. Winzer, Analysis of mode-dependent gain in Raman amplified few-mode fiber, in Opt. Fiber Commun. Conf. and Nat. Fiber Opt. Eng. Conf. (OFC/NFOEC’12), Los Angeles, CA, USA (2012), Techn. Digest, paper OW1D.2
R. Ryf, M.A. Mestre, S. Randel, C. Schmidt, A.H. Gnauck, R. Essiambre, P.J. Winzer, R. Delbue, P. Pupalaikis, A. Sureka, Y. Sun, X. Jiang, D.W. Peckham, A. McCurdy, R. Lingle, Mode-multiplexed transmission over a 209-km DGD-compensated hybrid few-mode fiber span. IEEE Photonics Technol. Lett. 24(21), 1965–1968 (2012)
D. Jia, H. Zhang, Z. Ji, N. Bai, G. Li, Optical fiber amplifiers for space-division multiplexing. Front. Optoelectron. 5(4), 351–357 (2012)
J. Zhou, An analytical approach for gain optimization in multimode fiber Raman amplifiers. Opt. Express 22(18), 21393–21402 (2014)
P.J. Winzer, G.J. Foschini, Outage calculations for spatially multiplexed fiber links, in Opt. Fiber Commun. Conf. and Nat. Fiber Opt. Eng. Conf. (OFC/NFOEC’11), Los Angeles, CA, USA (2011), Techn. Digest, paper OThO5
K.-P. Ho, J.M. Kahn, Mode-dependent loss and gain statistics effects on mode-division multiplexing. Opt. Express 19(17), 16612–16635 (2011)
K. Rottwitt, K. Nielsen, S.M.M. Friis, M.A.U. Castaneda, Challenges in higher order mode Raman amplifiers, in Opt. Fiber Commun. Conf. (OFC’15), Los Angeles, CA, USA (2015), Techn. Digest, paper Tu3C.6
J. Bromage, J.-C. Bouteiller, H.J. Thiele, K. Brar, L.E. Nelson, S. Stulz, C. Headley, R. Boncek, J. Kim, A. Klein, G. Baynham, L.V. Jørgensen, L. Grüner-Nielsen, R.L. Lingle Jr., D.J. DiGiovanni, WDM transmission over multiple long spans with bidirectional Raman Pumping. J. Lightwave Technol. 22(1), 225–231 (2004)
R. Ryf, M. Esmaeelpour, N.K. Fontaine, H. Chen, A.H. Gnauck, R.-J. Essiambre, J. Toulouse, Y. Sun, R. Lingle Jr., Distributed Raman amplification based transmission over 1050 km few mode-fiber, in Proc. 41st Europ. Conf. Opt. Commun. (ECOC’15), Valencia, Spain (2015), paper ID 0760
R. Claps, D. Dimitropoulos, V. Raghunathan, Y. Han, B. Jalali, Observation of stimulated Raman amplification in silicon waveguides. Opt. Express 11, 1731–1739 (2003)
D. Dimitropoulos, D.R. Solli, R. Claps, O. Boyraz, B. Jalali, Noise figure of silicon Raman amplifiers. J. Lightwave Technol. 26, 847–852 (2008)
K. Rottwitt, P. Tidemand-Lichtenberg, Nonlinear Optics, Principles and Applications (CRC Press, Boca Raton, 2015)
E. Myslivets, N. Alic, S. Radic, High resolution measurement of arbitrary-dispersion fibers: dispersion map reconstruction techniques. J. Lightwave Technol. 28(23), 3478–3487 (2010)
L.S. Rishøj, A.S. Svane, T. Lund-Hansen, K. Rottwitt, Quantitative evaluation of standard deviations of group velocity dispersion in optical fibre using parametric amplification. Electron. Lett. 50(3), 199–200 (2014)
B.P.-P. Kuo, J.M. Fini, L. Grüner-Nielsen, S. Radic, Dispersion-stabilized highly-nonlinear fiber for wideband parametric mixer synthesis. Opt. Express 20(17), 18611–18619 (2012)
D. Noordegraaf, M. Lorenzen, C.V. Nielsen, K. Rottwitt, Brillouin scattering in fiber optical parametric amplifiers, in Proc. 9th Internat. IEEE Conf. Transparent Optical Netw. (ICTON’07), Rome, Italy (2007), vol. 1, pp. 197–200
M.E. Marhic, Fiber Optical Parametric Amplifiers, Oscillators and Related Devices (Cambridge Univ. Press, Cambridge, 2008)
S.M.M. Friis, K. Rottwitt, C.J. McKinstrie, Raman and loss induced quantum noise in depleted fiber optical parametric amplifiers. Opt. Express 21(24), 29320–29331 (2013)
P.L. Voss, K.G. Köprülü, P. Kumar, Raman-noise-induced quantum limits for \(\chi^{(3)}\) nondegenerate phase-sensitive amplification and quadrature squeezing. J. Opt. Soc. Am. B 23(4), 598.610 (2006)
C.J. McKinstrie, S. Radic, M.G. Raymer, Quantum noise properties of parametric amplifiers driven by two pump waves. Opt. Express 12, 5037–5066 (2004)
Z. Tong, A. Bogris, M. Karlsson, P.A. Andrekson, Full characterization of the signal and idler noise figure spectra in single-pumped fiber optical parametric amplifiers. Opt. Express 18(3), 2884–2893 (2010)
D.J. Blessing, C.J. McKinstrie, Z. Tong, C. Lundstrom, P. Andrekson, M. Karlsson, E. Tipsuwannakul, L. Gruner-Nielsen, H. Toda, B.J. Puttnam, Towards ultrasensitive optical links enabled by low-noise phase-sensitive amplifiers. Nat. Photonics 5(7), 430–436 (2001)
K. Rottwitt, M.R. Lorenzen, D. Noordegraaf, C. Peucheret, Gain characteristics of a saturated fiber optic parametric amplifier, in Proc. 10th Internat. IEEE Conf. Transparent Optical Netw. (ICTON’08), Athens, Greece (2008), vol. 1, pp. 62–64, paper Mo.D1.1
P. Kylemark, P.O. Hedekvist, H. Sunnerud, M. Karlsson, P.A. Andrekson, Noise characteristics of fiber optical parametric amplifiers. J. Lightwave Technol. 22, 409–416 (2004)
J. Hansryd, P.A. Andrekson, M. Westlund, J. Li, P.-O. Hedekvist, Fiber-based optical parametric amplifiers and their applications. IEEE J. Sel. Top. Quantum Electron. 8(3), 506–520 (2002)
M. Lorenzen, D. Noordegraaf, C.V. Nielsen, O. Odgaard, L. Grüner-Nielsen, K. Rottwitt, Brillouin suppression in a fiber optical parametric amplifier by combining temperature distribution and phase modulation, in Opt. Fiber Commun. Conf. and Nat. Fiber Opt. Eng. Conf. (OFC/NFOEC’08), San Diego, CA, USA (2008), Techn. Digest, paper OML1
J.M. Chavez Boggio, J.R. Windmiller, M. Knutzen, R. Jiang, C. Bres, N. Alic, B. Stossel, K. Rottwitt, S. Radic, 730-nm optical parametric conversion from near- to short-wave infrared band. Opt. Express 16, 5435–5443 (2008)
P.A. Andrekson, M. Westlund, H. Sunnerud, High resolution optical waveform sampling using fiber-optic parametric amplifiers, in Proc. 2008 IEEE/LEOS Winter Topical Meeting, Sorrento, Italy (2008), pp. 55–56, paper MB3
P.A. Andrekson, M. Westlund, Nonlinear optical fiber based high resolution all-optical waveform sampling. Laser Photonics Rev. 1, 231–248 (2007)
J.M. Chavez Boggio, C. Lundström, J. Yang, H. Sunnerud, P.A. Andrekson, Double-pumped FOPA with 40 dB flat gain over 81 nm bandwidth, in Proc. 34th Europ. Conf. Opt. Commun. (ECOC’08), Brussels, Belgium (2008), paper 3B5
C. Peucheret, M. Lorenzen, J. Seonne, D. Noordegraaf, C.V. Nielsen, L. Grüner-Nielsen, K. Rottwitt, Amplitude regeneration of RZ-DPSK signals in single pump fiber optic parametric amplifiers. IEEE Photonics Technol. Lett. 21, 872–874 (2009)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2017 Springer International Publishing Switzerland
About this chapter
Cite this chapter
Rottwitt, K. (2017). Fiber Amplifiers. In: Venghaus, H., Grote, N. (eds) Fibre Optic Communication. Springer Series in Optical Sciences, vol 161. Springer, Cham. https://doi.org/10.1007/978-3-319-42367-8_12
Download citation
DOI: https://doi.org/10.1007/978-3-319-42367-8_12
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-42365-4
Online ISBN: 978-3-319-42367-8
eBook Packages: Physics and AstronomyPhysics and Astronomy (R0)