Collaborative Research: Mathematical and Computational Methods in High Data-Rate Optical Fiber Communications

NSF奖摘要- DMS-0101387数学科学：FRG：高数据速率光纤通信的数学和计算方法 摘要DMS-0101387 Menyuk 本研究项目的目标是开发新的方法，可用于确定在现实情况下的光传输系统的行为。 这将通过各种技术的组合来实现。 一种方法将利用光纤传输模型的数学结构，以消除不必要的自由度。 由此产生的简化模型在数学上更容易处理，在计算上也更有效。 将使用的另一种方法是应用线性化和重要性抽样技术，以便能够以实际的数据误差率模拟系统。 这些方法将结合起来研究光纤中的主要损伤源，以实现对系统性能的准确评估。 所有的技术开发将仔细验证比较计算更耗时的模型和实验。 高数据速率光纤通信的发展是世纪后期的重大技术成就之一;仅在过去十年中，数据速率就增加了四个数量级。 这一巨大的增长使得全球互联网的发展成为可能，它有望继续给日常通信带来革命性的变化。 然而，由于对进一步增长的需求有增无减，系统容量正受到光纤传输效应的限制。 因此，在设计系统时，准确地建模和计算由于非理想纤维特性而造成的损伤变得至关重要。 由于未来传输系统所需的巨大数据容量（每秒兆兆比特的总容量）以及对极小传输错误率（每万亿比特小于一个错误）的需求，当这些损害出现在实际系统中时，对这些损害的影响进行建模和预测的现实尝试提出了许多困难的数学和计算挑战。 预计将在这个合作研究项目中开发的技术将大大减少建模光通信系统所需的计算时间，同时对系统行为产生新的见解。 由于这些方法将能够提供有关实际数据错误率下系统性能的详细信息，我们相信它们将导致光传输系统建模方式的重大变化，并最终导致其构建方式的重大变化。

NSF Award Abstract - DMS-0101387 Mathematical Sciences: FRG: Mathematical and Computational Methods for High-Data-Rate Optical Fiber Communications AbstractDMS-0101387 Menyuk The goal of this research project is to develop new methods that can be used to determine the behavior of optical transmission systems under realistic circumstances. This will be accomplished by a combination of various techniques. One approach will exploit the mathematical structure of fiber transmission models in order to eliminate unessential degrees of freedom. The reduced models that will result will be more tractable mathematically and also much more computationally efficient. Another approach that will be used is the application of linearization and importance sampling techniques to enable the simulation of systems at realistic data error rates. These methods will be combined to study the main sources of impairment in optical fibers in order to achieve an accurate evaluation of system performance. All the techniques to be developed will be carefully validated by comparison to more computationally time-consuming models and to experiments. The development of high-data-rate optical fiber communications is one of the great technological achievements of the late 20th century; in the last decade alone, data rates have increased by four orders of magnitude. This enormous increase has made possible the growth of the global Internet that promises to continue to revolutionize day-to-day communications. Because demand for further growth continues unabated, however, system capacity is becoming limited by fiber transmission effects. It has therefore become crucial to accurately model and calculate the impairments due to non-ideal fiber properties when designing systems. Due to the tremendous data capacity that will be required of future transmission systems (terabits per second of aggregate capacity) and the need for extremely small transmission error rates (less than one error per trillion bits), realistic attempts to model and predict the effects of these impairments as they appear in practical systems present a number of difficult mathematical and computational challenges. The techniques that will be developed in this collaborative research project are expected to yield large reductions in the computational time required to model optical communication systems, and at the same time produce new insights into system behavior. Because these methods will be capable of providing detailed information about system performance at realistic data error rates, we believe they will lead to significant changes in the way in which optical transmission systems are modeled, and, ultimately, in the way that they are built.