Multimode fiber bandwidth prediction based on preform profile

A new technique is suggested for multimode fiber bandwidth prediction based on a preform profile. It allows one to calculate the output pulse distortion and allows the bandwidth of a fiber to be drawn dependent on the excitation conditions under which it will operate. It is shown that the accuracy of the bandwidth prediction for 1.5- to 2.5-km fibers is about 10%, the bandwidth being 1-1.5 GHz/km. To achieve this accuracy it is necessary that the excitation conditions and differential mode attenuation be exactly reproduced in the calculation. The profile variations along the length should not be considerable. The prediction technique was adapted to the P101 Preform Analyser (York Technology) and can replace alpha-approximation curve-fitting during routine manufacture of multimode preforms.     

New aspects in bandwidth measurements considering the effects of DMD

This paper focuses on the effects of differential mode delay (DMD) on the bandwidth of multimode optical fibres. First an analytical solution for the computation of the differential mode time delay is presented. The electrical field of each mode is calculated by the numerical solution of the Helmholtz equation. Based on this solution the modal power distribution as well as the fibre's impulse response under different launching conditions can be obtained.Next, the refractive-index profile of two fibres is modelled on the basis of DMD measurements. It is shown that these measurements provide enough information to predict the fibre's propagation characteristics under different launch conditions (excitation conditions).     

Transmission characteristics of graded-index fibers

The use of graded-index fibers for optical communication systems is now under consideration for numerous civil and military applications, and in these either LED or laser sources can be developed. The bandwidth of the system depends on the source linewidth, the dispersion of refractive index in the fiber, the strength of excitation of the modes by the source, and the extent of mode mixing caused, by example, by microbending. In fibers with refractive-index profiles that have a nearly parabolic dependence upon radius, pulse broadening is a slight, but small departures from an optimum profile can cause a dramatic decrease in bandwidth. It is of considerable importance to predict the bandwidth of fibers from a knowledge of the refractive-index profile and source geometry. The purpose of the first part of this paper is to compare two computational methods by which the propagation characteristics of a fiber, hence the impulse response and system bandwidth, may be determined. In the second part, we shall describe a computer program that determines the excitation of modes in an arbitrarily graded refractive index fiber for a model of laser source.     

The influence of the input beam width on the bandwidth of multimode step index fibers

A detailed theoretical investigation of the influence of the input on the bandwidth of multimode step index fibers is given. The calculations take into account mode coupling, absorption and leaky modes. For 100 m of a typical large numerical aperture fiber the bandwidth can vary with excitation from 1.8 GHz to 15 GHz. The numerical calculations agree with published experimental results.     

Laser beam combining and cleanup by stimulated Brillouin scattering in a multimode optical fiber

A new technique for combining low-power laser beams has been demonstrated by use of semiconductor diode lasers. The technique, which is appropriate for any single-longitudinal-mode laser, is based on stimulated Brillouin scattering (SBS) in long multimode optical fibers. It produces a clean Gaussian-like beam that corresponds to the fundamental fiber mode, irrespective of the profile of the pump. Coherent as well as incoherent combining was demonstrated, and conversion slope efficiencies as high as 67% and 83% were shown to be achievable for the single-pass and ring-cavity SBS geometries, respectively.     

Adaptive Bit allocation algorithm based on unsaturated bandwidth of multimode fiber for optical OFDM system

An adaptive bit allocation algorithm for Orthogonal Frequency Division Multiplexing (OFDM) multimode fiber communication system is proposed in this paper, aimed at utilizing the infinite bandwidth of multimode fiber in high frequency region. The algorithm breaks through the limitation that bits are formerly allocated only in fixed bandwidth, and is proved to be effective by simulation. Compared with greedy algorithm, new algorithm is easy to implement, and lowers bit error rate (BER) of each subcarrier effectively.     

Differential mode delay (DMD) in graded-index multimode fiber: effect of DMD on bandwidth tuned by restricted launch conditions

The bandwidth behavior of graded-index multimode fibers (GI-MMFs) for different launching conditions is investigated to understand and characterize the effect of differential mode delay. In order to reduce the launch-power distribution the near field of a single-mode fiber is used to produce a controlled restricted launch. The baseband response is measured by observing the broadening of a narrow input pulse (time-domain measurement). The paper verifies the degradation in bandwidth due to profile distortion by scanning the spot of the single-mode fiber with a transversal offset from the center of the test sample. In addition, the impact of the launch-power distribution tuned by different spot-size diameters is demonstrated. Measurements were taken on ‘older’ 50-μm and 62.5-μm GI-MMFs as well as on laser-performance-optimized fibers more recently developed. Received: 12 November 2001 / Final version: 26 June 2002 / Published online: 25 September 2002 RID="*" ID="*"Corresponding author. Fax: +49-781/205-242, E-mail: opto@fh-offenburg.de     

Simulation and experimental research on polymer fiber mode selection polished coupler

Multimode dispersion is the main obstacle for high bandwidth in multimode optical fiber （MMF） communication system. Mode selection is an effective method to oppress multimode dispersion. We propose and investigate a kind of polymer optical fiber polished coupler. Beam propagation method （BPM） is employed to calculate the coupling coefficient of transmission modes in MMF coupler, and an output pattern from coupling branch is obtained. Analysis and experiment show that this coupler can select certain modes by changing polished depth, contact area, and intersection angle of two branches, which means that the device can be employed both as a mode selector and a sensor. In addition, simulation shows that five times bandwidth enhancement may be realized by selecting modes with the polymer fiber polished coupler.     

Accurate modal characterization of passive components based on selective excitation of optical fibers

Modal performances of multimode optical passive components are measured by use of a selective excitation techique. Pure LP_m1 modes up to LP_{15 1} mode are generated in a Ti: sapphire laser cavity and launched in the input fiber of the component under test. Azimuthal dependency of the LP₁₁ mode excitation coefficient is used in an accurate centering technique of monomode and multimode splices or connectors.     

Photoluminescence and Possible Amplified Spontaneous Emission from π-Conjugated Dye-Doped Thin Film

We prepared transparent polymer films doped with π-conjugated organic dyes around a multimode silica fiber and observed very narrow fluorescence peaks as compared with the fluorescence in solution. The peak position showed no dependence on the excitation wavelength, indicating that it could not be explained by a whispering gallery mode. The peaks can be explained by amplified spontaneous emissions (ASEs) because the intensity depended linearly on the excitation intensity with a threshold. When the excitation laser was directly coupled to the fiber core, we observed ASE peaks of the optical fiber itself. These fiber ASE peaks shifted to longer wavelength when we varied the excitation to shorter wavelength, which clearly ruled out the possibility of silicate Raman scattering as the origin.     

Generation of a hollow laser beam by a multimode fiber

A simple method to generate a hollow laser beam by multimode fiber is reported. A dark hollow laser beam is generated from a multimode fiber and the dependence of the output beam profile on the incident angle of laser beam is analyzed. The results show that this hollow laser beam can be used to trap and guide cold atoms.     

Micro-ring cavity mode of dye-doped thin film: Dependence on the excitation energy

We have prepared π-conjugated organic dye specimens embedded in a transparent polymer film and observed a characteristic photoluminescence peak, having very narrow peak width as compared with the fluorescence in solution, when we prepared the film around the perimeter of a multimode silica fiber. The peak position showed no dependence on the excitation wavelength, indicating that it could not be explained by a whispering gallery mode. The peaks can be explained by amplified spontaneous emissions (ASE) because the intensity depended linearly on the excitation intensity with some threshold. When the excitation laser was directly coupled to the fiber core, we observed ASE peaks of the optical fiber itself. These fiber ASE peaks shifted to longer wavelength when we varied the excitation to shorter wavelength, which clearly ruled out the possibility of silicate Raman scattering as the origin.     

Characterization of the approach to steady state and the steady-state properties of multimode optical fibers using LED excitation

A simple technique has been developed to characterize the approach to steady state and the steady-state properties of multimode fibers using LED excitation. Results are given for 6 mil Selfoc fibers whose far-field pattern for the steady state is in excellent agreement with a calculation by Marcuse. To first order, the steady-state mode distribution fits a simple model of uniform modal excitation of a fiber with a reduced numerical aperture.     

Anomalous group delay in optical fibres

It is shown, by means of computation on a specific model, how pulse broadening in multimode gradedindex optical waveguides is significantly affected by the levels of excitation of the high-order modes. Pulse widths are computed as functions of the profile parameter, under conditions of equal excitation, high-order mode suppression and GaAs laser excitation.     

Adaptive unsaturated technique for OFDM multimode fiber communication system

A novel adaptive unsaturated technique is proposed for Orthogonal Frequency Division Multiplexing (OFDM) multimode fiber communication. The core idea of this technique is that bits originally allocated to poor subcarriers are now transmitted by new extra subcarriers rather than the original good subcarriers used in adaptive modulation OFDM. It can reduce the system bit error rate (BER) which is mainly caused by some OFDM subcarriers located at the deep nulls in the high frequency region of multimode fiber. The simulation results indicate that adaptive unsaturated technique is more effective in reducing the BER of system than adaptive modulation and equal bit allocation. Moreover, adaptive unsaturated technique does not need complex bit allocation algorithm and each subcarrier has the same modulation format, so it is simple and practical.     

Indoor coverage improvement of MB-OFDM UWB signals with radio over POF system

A radio over fiber system using the fluorinated based polymer multimode fibers (PMMF) is presented in this paper for the enhancement of the indoor coverage of the multiband orthogonal frequency division multiplexing ultra-wideband standard (MB-OFDM UWB) inside a building. A preliminary part related the cost analysis owing to glass and polymer multimode fiber deployment inside a fiber network is reported. The study of the physical properties of the polymer optical fibers (core diameter, numerical aperture, differential mode delays, modal bandwidth…) is firstly performed in order to effectively exhibit the potentialities and the robustness of such fibers to be used in a low cost radio over fiber system. The DMD measurements of four fluorinated based polymer optical fiber are reported. The designed system operates at 850 nm with commercial off the shelf (COTS) devices combined to the intensity modulation/direct detection technique. The opportunity of using polymer fibers and COTS components to improve the indoor coverage of the MB-OFDM UWB standard is so reported by the measurement of the Error Vector Magnitude or the Relative Constellation Error variation as a function of the system parameters (RF power, optical attenuation, fiber length…) as well as the compliance of the eye diagram with the mask testing. By the way, the transmission performance of both 200 and 480 Mbps signals is demonstrated over up to 200 m link length of polymer multimode fibers: transmission penalties are quantified by relative constellation error with values under the standard requirements. A comparative study with classical OM2 50 μm based glass multimode fiber having the same bandwidth/length product than the PMMF is done.     

Continuous-wave mode-locked solid-state lasers with enhanced spatial hole burning

In Part I of this paper [1] experimental results were presented and discussed. In this part, we investigate theoretically the dynamics of end-pumped solid-state lasers due to enhanced spatial hole burning. This becomes possible by a fast numerical implementation of the saturated gain in the presence of strong spatial hole burning that allows to treat the multimode case for an arbitrary pumping level. We find for a wide range of laser parameters that the mode spacing of the cw running modes is essentially determined by the length of the gain medium and only weakly depends on the absorption depth of the pump transition. It is shown that spatial hole burning can lead to a completely flat saturated gain profile over half of the gain bandwidth. In mode-locked lasers, the flat gain due to spatial hole burning results in shorter pulses. But the pulses are neither Gaussian-nor sech-shaped as they are in actively or passively mode-locked lasers without spatial hole burning. Further, we show that soliton-like pulse shaping can be used to restore a transform-limited sech-shaped pulse in an end-pumped solid-state laser while exploiting the full gain bandwidth of the laser material.     

激光注入误差对多模光纤传能特性影响分析

采用ZEMAX软件对激光光纤注入系统进行了建模,仿真分析了激光注入光纤横向偏移、角度偏移对光纤传输激光能量特性的影响.结果表明,光纤输出激光能量分布与激光注入对准误差密切相关.注入误差引起光纤初始输入段激光峰值功率密度的剧烈波动,出现了一个激光峰值功率密度极大值,这个极大值是可以达到光纤截面内激光平均功率密度的数十倍;横向偏移激发大量斜光线产生,使光纤输出激光能量分布匀化;角度偏移仅影响光纤内子午光线与斜光线的传播方向,对光纤内激光能量分布的匀化作用较弱.     

Attenuation and modal dispersion models for spatially multiplexed co-propagating helical optical channels in step index fibers

Spatial reuse of optical frequencies has been shown to be possible through a novel spatial domain multiplexing (SDM) technique that uses spatial multiplexer at the input end to launch multiple channels of the same wavelength inside a single strand of carrier fiber and then employs spatial filtering methods to de-multiplex the different optical channels at the output end. The individual SDM channels are confined to dedicated spatial locations inside the fiber while traversing through it owing to helical propagation of light. This presents attenuation and dispersion models of such a system. Experimentally obtained beam profile and resultant crosstalk of two such spatially multiplexed co-propagating SDM channels of the same wavelength over standard step index multimode optical fibers are also presented.     

Bandwidth enhancement by differential mode attenuation in multimode photonic crystal Bragg fibers

In multimode bandgap guiding fibers higher-order modes have high radiation losses. Once excited, after a short propagation distance such modes are leaked out of the fiber core. Reduction of the number of excited modes in the fiber core leads to a decrease of intermodal dispersion and a dramatic enhancement of fiber bandwidth. Due to the increase in the propagation loss, bandwidth enhancement by differential mode attenuation also leads to the reduction of the maximal length of a usable fiber span. We demonstrate that by proper design of a photonic crystal reflector long fiber spans of high bandwidth are possible.