Mathematical aspects of measurement of modal dispersion for multi-mode optical fibers
- Thursday, September 20, 2018 from 3:10pm to 4:00pm
- Wilson Hall, 1-144 - view map
Applied Mathematics Seminar:Dr. Jaroslaw Kwapisz (MSU Mathematical Sciences)Title: Mathematical aspects of measurement of modal dispersion for multi-mode optical fibersAbstract:The ongoing growth of Internet traffic drives innovation in long-haul optical communication. Multi-mode and multi-core optical fibers can carry upwards of a 100 of distinct modes (at the same frequency slice), thus promising a significant increase in data throughput. A number of engineering challenges would have to be overcome to realize this promise. One of them has to do with modal dispersion (mode dependence of signal speeds), which heavily impacts the complexity of the digital signal processing required to encode/decode the data-stream. I will discuss the mathematical aspects of modal dispersion and report on signal-to-noise optimization results for a proposed method of measurement of the modal dispersion characteristics of a fiber. (The method uses simple direct detection of pulses, as an alternative to the reigning approach based on a more complex interferometry setup.)On the mathematical side, the core difficulty has to do with the geometry of the complex projective space, where a seemingly simple question resists rigorous proofs and offers numerical challenges beyond the computational capabilities of current hardware.This talk includes work in collaboration with Ioannis Roudas (ECE, MSU) and Daniel Nolan (Corning Corp).