Pdf analytic modeling of erbiumdoped fiber amplifiers based on. Pdf modeling erbiumdoped fiber amplifiers semantic. Modeling of erbium doped fiber ring laser sciencedirect. In the mmedfas, minimizing the differential modal gain dmg is of. Kinetic modeling of hydrogeninduced degradation in erbium. Amplified spontaneous emission ase is taken into account so that the gain of asesaturated erbiumdoped fiber amplifiers is calculated properly. Finding gealdoped fiber parameters for modeling erbium. A modified form of the scheme derived using a lagrange polynomial is shown to result in 75% reduction of stepsize as compared to a conventional. The behaviour of erbium doped fibre amplifiers edfa is investigated as a function of basic fibre constituents and length in order to provide sufficient parameters for any modelling of its gain or noise profiles. The analytic expressions presented, which involve the solution of one transcendental equation, can predict signal. Desurvire, modeling erbiumdoped fiber amplifiers, in journal of lightwave technology, vol. Pdf erbiumdoped silica fiber modeling with overlapping.
Pdf black box model for thulium doped fiber amplifiers. Design and compact modeling of saturated erbiumdoped fiber amplifiers with nonconfined doping. Osa theoretical modeling of erbiumdoped fiber amplifiers. Pdf modeling erbiumdoped fiber amplifiers semantic scholar. Pdf erbiumdoped silica fiber modeling with overlapping factors. Doped fiber amplifiers dfas are optical amplifiers that use a doped optical fiber as a gain medium to amplify an optical signal.
Analytic modeling of highgain erbiumdoped fiber amplifiers. An extensive outline of the basic physics and modeling of erbiumdoped fiber amplifiers is presented. Oct 23, 2019 pyfiberamp is a rate equation simulation library for rareearth doped fiber amplifiers and fiber lasers partly based on the giles model. Characterization and modeling of erbiumdoped fiber. Erbiumdoped fiber amplifiers are modeled using the propagation and rate equations of a homogeneous twolevel laser medium. In terms of gain saturation, fiber amplifiers are very different from semiconductor optical amplifiers soas. The model has been obtained by developing the so called spectral one already presented for the analysis of erbium doped fiber amplifiers edfa. Erbiumdoped fiber laser obtain the power spectrum of the constructed fiber laser. Basing on analyzing distributed erbium doped fiber amplifierdedfa of evenly doped density along propagating direction, we put forward two sort dedfas of slowly and linearly variously doped density along propagating direction. With product ranges available offering polarization maintaining, bendinsensitive, rareearth doped, claddingpump and. When energy in the 1550 nm band travels through the fiber it.
Erbiumdoped fiber amplifiers are traditionally pumped with either 980 nm or 1480 nm laser diodes, which correspond to exciting 11 2 4i and 2 4i levels respectively. Modelling of multimode erbiumdoped fibre amplifiers for mode. We will investigate the stability of oscillation of such a fiber laser. Modeling light amplification in er doped singlemode fibers fundamentals of noise in optical fiber amplifiers photodetection. Rp photonics encyclopedia fiber amplifiers, edfa, ydfa. Modeling of gain in erbiumdoped fiber amplifiers abstract. Erbiumdoped fiber amplifiers are the by far most important fiber amplifiers in the context of longrange optical fiber communications. Perhaps the most important version is erbium doped fiber amplifiers edfas due to their ability to amplify signals at the low loss 1. A modified form of the scheme derived using a lagrange polynomial is shown to result in 75% reduction of stepsize as compared to a conventional adaptive euler method. Rare earth doped fiber amplifiers are finding increasing importance in optical communications systems. The experiment uses erbiumdoped fiber to implement three functions through slight. Randy giles, member, ieee, and emmanuel desurvire, member, ieee invited paper abstracterbiumdoped fiber amplifiers are modeled using the propagation and rate equations of a homogeneous, twolevel laser me dium. Particular emphasis is placed upon energy extraction with single pulse propagation.
Throughout this paper, considering inhomogeneous broadening in amplification and pump bands, the dynamical behavior of an erbiumdoped fiber amplifier is investigated. These are just a handful of the essential questions answered in erbiumdoped fiber amplifiers. Modeling erbiumdoped fiber amplifiers ieee journals. In the shown case, the active fiber is pumped with light from two laser diodes bidirectional pumping, although unidirectional pumping in the forward or backward direction codirectional and counterdirectional pumping. Importance of erbiumdoped fiber uniformity perhaps the most critical parameter for erbiumdoped fiber in high performance amplifiers is the uniformity of the gain spectrum from one coil to the next. The erbiumion doped fiber is pumped by feeding the light from a laser pump diode, through a coupler, into the erbium ion. Due to the small transition cross sections, the saturation energy is fairly high, e. With product ranges available offering polarization maintaining, bendinsensitive, rareearth doped, claddingpump and photosensitive fibers. Optical amplifiers erbium doped fibers 1 objective study the characteristics of edfas alone and in a system. The core of the fiber is doped with erbium and is typically pumped with 980 or 1480 nm to produce gain around 1550 nm cband or 1590 nm lband. Pp ap here are some typical numbers for the raman amp. Gain modulation to model the impact of modulation, we add perturbations to the pump and signal transition rates. Numerical solution of a general rateequation model of an erbiumdoped fiber amplifier highlights several important features of the device. The core element of a fiber amplifier is a piece of rareearthdoped fiber, which can provide.
Construction of a fiber laser in order to construct a fiber laser, connect the output port of the edfa to its input port by way of a star coupler as shown in fig. An analytic method is described for fully characterizing the gain of an erbiumdoped fiber amplifier edfa that is based on easily measured monochromatic absorption data. Numerical solution of a general rateequation model of an erbium doped fiber amplifier highlights several important features of the device. Theoretical modeling of erbiumdoped fiber amplifiers with. Erbium doped fiber amplifiers are modeled using the propagation and rate equations of a homogeneous twolevel laser medium.
Modeling light amplification in erdoped singlemode fibers fundamentals of noise in optical fiber amplifiers photodetection. Written by one of the pioneers in the field, this unique reference provides. An extensive outline of the basic physics and modeling of erbium doped fiber amplifiers is presented. Here, we study multimode erbiumdoped fiber amplifiers mmedfas for signals spatially multiplexed in 12 modes six spatial. Fits to data are shown for two of the three models. Ofc 2003 optical fiber communications conference, 2003.
Spectrally resolved approach for modeling short pulse. Optical distribution networks using remotely pumped erbiumdoped fiber amplifiers edfas with a single pump source at the head end can conveniently provide signal gain without adding to the powerconsumption cost and management complexity of having multiple locally pumped edfas in densely populated metropolitan. Black box model of erbiumdoped fiber amplifiers in c and. Design and compact modeling of saturated erbiumdoped fiber. A 7core erbium doped doubleclad fiber amplifier with. Numerical methods are used to analyze the effects of optical modes and erbium confinement on amplifier performance, and to calculate both the gain and amplified spontaneous emission ase spectra. Accurate modeling of highrepetition rate ultrashort pulse. Modeling signal and ase evolution in erbiumdoped amplifiers 1591 where n is the real refractive index.
Packed with information on important system experiments and the best experimental results to date as well as over 1,400 references to the expanding literature, erbium doped fiber amplifiers illuminates such key areas as. Design of multimode erbiumdoped fiber amplifiers for low. This phd thesis, undertaken within the framework of modegap, covers the design and optimization of highperformance inline multimode erbiumdoped fiber amplifiers mmedfas or fewmode fm edfa for nextgeneration sdm transmission systems based on modedivision multiplexing mdm. In the last case, there are two levels in the light generation. Black box model of erbiumdoped fiber amplifiers in c and l bands a. Optical distribution networks using remotely pumped erbium doped fiber amplifiers edfas with a single pump source at the head end can conveniently provide signal gain without adding to the powerconsumption cost and management complexity of having multiple locally pumped edfas in densely populated metropolitan areas. Erbium doped fiber amplifiers is a bonafide work done by mr. Design and development of erbium doped fiber amplifiers. Throughout this paper, considering inhomogeneous broadening in amplification and pump bands, the dynamical behavior of an erbium doped fiber amplifier is investigated. It is effective for wavelength multiplexing several signals and for. Request pdf modeling and simulation of bandwidth expansion in erbium doped fiber amplifiers a model is introduced in this paper and the effects. The 980 nm energy pumps the erbium atom into a slowly decaying, excited state. In this paper we describe a single kinetic model consistent with current experimental results of the effect of hydrogen on erbium doped fiber, and derive three approximations to the model that can be used to fit data from fiber.
Fibers with confined erbium doping are completely characterized from easily. A numerical model for the analysis of the continuous wave operation of an erbium doped fiber ring laser is presented. Device and system developments brings telecommunications professionals up to date. We report the formulation of the adaptive variable coefficient predictorcorrector adamsbashforth scheme for modeling the population dynamics in erbiumdoped fiber amplifiers and lasers based on highly doped fibers. Rp photonics encyclopedia erbiumdoped fiber amplifiers. Modeling of pump wavelengthdependent spectral hole. We can calculate q2 easily, and the mol, as described above, can then provide the solution of the propagation of signal and pump in the small. Temporal modeling of erbiumdoped fiber amplifiers temporal modeling of erbiumdoped fiber amplifiers sridhar, balakrishnan. Modeling of gain in erbiumdoped fiber amplifiers ieee. Design and compact modeling of saturated erbiumdoped.
Pdf analytic modeling of erbiumdoped fiber amplifiers. A dynamic simulink model for erbiumdoped fiber amplifiers. Reanalyze the importance of receiver noise and the effect of amplification on the quality of an optical system. Amplified spontaneous emission ase is taken into account so that the gain of asesaturated erbium doped fiber amplifiers is calculated properly.
Modeling light amplification in erbium doped single mode fibers. We discuss the methods and results of the temporal, spatial and spectral modeling of doped fiber amplifiers. With over 30 years experience of the specialty optical fiber industry, fibercore ltd, the world leader in its field, is exclusively dedicated to the design, manufacture and commercialization of specialty fibers. Noise performance of erbiumdoped fiber amplifiers with. In fiber amplifiers, low modedependent gain mdg minimizes the loss of capacity and the potential for outage 7. The noise performance of an erbiumdoped fiber amplifier edfa is characterized by modeling optical amplifiers as fourlevel or threelevel systems.
This phd thesis, undertaken within the framework of modegap, covers the design and optimization of highperformance inline multimode erbium doped fiber amplifiers mmedfas or fewmode fm edfa for nextgeneration sdm transmission systems based on modedivision multiplexing mdm. Some of the notable results achieved with erbiumdoped fiber amplifiers are 5 1 db optical gain 7, 100mw saturated output power 8, and 3db noise figure 9. The erbiumdoped optical fiber is usually tens of meters long. A typical setup of a simple erbiumdoped fiber amplifier edfa is shown in figure 1. The amplification of large signal pulses causes distortion of the pulses because the leading edge of the pulse has larger gain as compared to the rest of the pulse. Erbium doped fiber amplifiers are traditionally pumped with either 980 nm or 1480 nm laser diodes, which correspond to exciting 11 2 4i and 2 4i levels respectively. Erbium doped fibers provide the basic building blocks for fiber optic amplifiers more specifically erbium doped fiber amplifiers edfas used in broadband optical networks and catv applications. Invited paper en efficient simulation model of the erbiumdoped. The detriment in the noise figure previously associated.
Two bands have developed in the third transmission window the conventional, or cband, from approximately 1525 nm 1565 nm, and the long, or lband, from. It is effective for wavelength multiplexing several signals and for different pumping. In the mmedfas, minimizing the differential modal gain dmg is of paramount importance to prevent system. In the first part, the spectroscopic features and properties of the erbiumdoped glass laser system are described. Modeling of pump wavelengthdependent spectral holeburning. Numerical methods are used to analyze the effects of optical modes and erbium confinement on amplifier performance, and to calculate both the gain and amplified spontaneous. Combining the contributions from four international experts in edfas, this new volume expands the readers conceptual understanding of edfas and covers the developmental issues of edfas that are relevant to modern telecom applications.
Modeling and simulation of bandwidth expansion in erbium. Pdf numerical and analytical modeling of polarization. Analytic modeling of erbiumdoped fiber amplifiers on the basis of intensitydependent overlapping factors. The gain and noise performance are then examined under forward and reverse pumping.
Abstract when pumping the erbiumdoped fiber amplifier at. This thesis describes theoretical and experimental studies on two subjects. Black box model of erbiumdoped fiber amplifiers in c and l bands. Temporal modeling of erbium doped fiber amplifiers we have considered the effect of amplification of rectangular and triangular pulses of different powers. The noise performance of an erbium doped fiber amplifier edfa is characterized by modeling optical amplifiers as fourlevel or threelevel systems. A 7core erbium doped doubleclad fiber amplifier with side. Implementation of three functional devices using erbium. Numerical methods are used to analyze the effects of optical.
Download fulltext pdf erbiumdoped silica fiber modeling with overlapping factors article pdf available in applied optics 3324. Detailed design analysis of erbiumdoped fiber amplifiers dtu orbit. Temporal, spatial, and spectral modeling of erbiumdoped. The choice of the model of erbiumdoped fiber amplifiers edfas is a key issue for the efficient performance evaluation of multiwavelength optical networks. Optical ampsraman and erbiumdoped fiber amplifiers pp. Kinetic modeling of hydrogeninduced degradation in erbiumdoped fiber amplifiers. Raman amplifier gain equations gr is called the raman gain coefficient units of mw. Numerical and analytical modeling of polarizationdependent gain in erbiumdoped fiber amplifiers. Andrewsexperimental and theoretical analysis of efficient erbiumdoped fiber power amplifiers. We describe an analytic method that calculates accurately within a 1. Users may download and print one copy of any publication from the public portal for the purpose of private study or research. Gain, saturation and noise characteristics of erbium doped fiber amplifiers. A numerical model for amplification of ultrashort pulses with high repetition rates in fiber amplifiers is presented.
In this paper we analyze gain and noise figure of a c and an l band edfa verifying experimentally. In the first part, the spectroscopic features and properties of the erbium doped glass laser system are described. Bibliography includes bibliographical references p. Implementation of three functional devices using erbiumdoped fibers. We can calculate q2 easily, and the mol, as described above, can then provide the solution of the propagation of signal.
Packed with information on important system experiments and the best experimental results to date as well as over 1,400 references to the expanding literature, erbiumdoped fiber amplifiers illuminates such key areas as. Laliotis etal modeling signal and ase evolution in erbiumdoped amplifiers 1591 where n is the real refractive index. Fiber laser we will construct an erbium doped fiber laser out of a fiber amplifier by creating feedback from the output into the input power of the fiber amplifier. Smith, optical power handling capacity of low loss optical fibers as determined by stimulated raman and brillouin scattering, appl. Thus we can use erbium doped fiber and pump laser to construct an optical amplifier, which called erbium doped fiber amplifier edfa. Basing on analyzing distributed erbiumdoped fiber amplifierdedfa of evenly doped density along propagating direction, we put forward two sort dedfas of slowly and linearly variously doped density along propagating direction. Modeling signal and ase evolution in erbiumdoped ampli. Review of erbiumdoped fiber amplifier 23 september 2011. Request pdf modeling and simulation of bandwidth expansion in erbium doped fiber amplifiers a model is introduced in this paper and the effects is of nonlinear scattering on the amplifier gain. The model for the edfa, used in the analysis, assumes. The erbiumdoped fiber amplifier edfa is the most deployed fiber amplifier as its amplification window coincides with the third transmission window of silicabased optical fiber. Simple continuouswave, gainswitched and qswitched fiber lasers.
Spie 1679, physics and simulation of optoelectronic devices, 1 july 1992. The first case can be described by a threelevel laser model whereas the second case is a quasithreelevel system. The behaviour of erbiumdoped fibre amplifiers edfa is investigated as a function of basic fibre constituents and length in order to provide sufficient parameters for. Jun 01, 2012 we report the formulation of the adaptive variable coefficient predictorcorrector adamsbashforth scheme for modeling the population dynamics in erbiumdoped fiber amplifiers and lasers based on highly doped fibers. A difference in strongsignal gain between copropagating and counterpropagating signal pump schemes in the presence of pump excitedstate absorption is predicted, and this is confirmed by experiment. Its core is the erbiumdoped optical fiber, which is typically a singlemode fiber. The signal to be amplified and a pump laser are multiplexed into the doped fiber, and the signal is amplified through interaction with the doping ions. Modelling of multimode erbiumdoped fibre amplifiers for.