Dynamic Response Of External Cavity Semiconductor Laser - A Multigigabit Per Second Transmission Simulation

L. de Barros, E. Moschin, R. F. Souza
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Abstract

The dynamic response of a single mode semiconductor laser coupled to a passive external cavity is analysed through the numerical solution of its rate equations. A complete transmission system is simulated using a model derived from the analogy with transmission lines. Although the optical feedback decreases the damping coefficient of the relaxation oscillations, it causes a considerable reduction on the frequency chirp, always present in intensity modulation. In order to analyse the performance of the external cavity laser under realistic conditions, an optical pulse is propagated through a dispersive fiber and filtered in a receiver. The investigation of pulse broadening and the eye-diagrams indicate that the system capacity can be increased by a factor of 2 by using an external resonator. Introduction A great deal of work has been done towards the enhancement of communication system capacity which has led, among other consequences, to the study and implementation of coherent systems. To implement such systems the performance of conventional semiconductor lasers has to be improved, specially regarding the spectral linewidth. DFB and DBR lasers although having small linewidth still do not achieve the necessary requirements. However, the coupling of a semiconductor laser to an external cavity can represent a 1000-fold spectral linewidth reduction [l], Another major problem always present on high bit rates intensity modulation lightwave systems is the frequency chirp. In this case the modulation of the carrier density induces a variation on the refractive index which causes a change in the emission frequency. Here, since the external cavity resonant frequency is independent on carrier flutuations the coupled configuration ECSL (external cavity semiconductor laser) reduces chirp considerably. Therefore external cavity lasers are of interest for coherent and intensity modulation optical systems. In this paper, a complete time-domain analysis of the ECSL performance is presented. The study is based on the numerical solution of the ECSL rate equations. On deriving these equations, a new approach is used, based on an equivalency with transmission lines. It consists of the analysis of the propagating field components inside the diode leading to the system rate equations [4] that are numerically solved. A similar approach was used in [2], where different assumptions led to an analytical solution. Also, the assumptions made in order to derive and solve the system of rate equations and the numerical solution itself are discussed. The last section is divided in two parts. First, the response of the ECSL
外腔半导体激光器的动态响应——每秒千兆位传输仿真
通过对单模半导体激光器耦合于无源外腔的速率方程的数值求解,分析了其动态响应。利用与传输线的类比推导出的模型,对一个完整的输电系统进行了仿真。虽然光反馈降低了弛豫振荡的阻尼系数,但它会导致频率啁啾的相当大的减少,而频率啁啾总是存在于强度调制中。为了分析外腔激光器在实际条件下的性能,光脉冲通过色散光纤传播并在接收机中滤波。对脉冲展宽和眼图的研究表明,采用外部谐振器可使系统容量增加2倍。在加强通信系统能力方面已做了大量工作,其结果之一是研究和实施连贯的系统。为了实现这样的系统,传统半导体激光器的性能必须得到改善,特别是关于谱线宽度。DFB和DBR激光器虽然具有较小的线宽,但仍不能达到必要的要求。然而,半导体激光器与外部腔的耦合可以代表1000倍的谱线宽度减少[1]。高比特率强度调制光波系统中始终存在的另一个主要问题是频率啁啾。在这种情况下,载流子密度的调制引起折射率的变化,从而引起发射频率的变化。在这里,由于外腔谐振频率与载流子波动无关,耦合配置ECSL(外腔半导体激光器)大大减少了啁啾。因此,外腔激光器是相干和光强调制光学系统的研究热点。本文给出了ECSL性能的完整时域分析。该研究是基于ECSL速率方程的数值解。在推导这些方程时,采用了一种基于传输线等效的新方法。它包括对二极管内部传播场分量的分析,从而得到数值求解的系统速率方程[4]。[2]中使用了类似的方法,其中不同的假设导致了解析解。此外,还讨论了为推导和求解速率方程组所作的假设以及数值解本身。最后一部分分为两部分。首先是ECSL的反应
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