Transfer matrix for weak intensity and phase modulation evolution in non-linear dispersive optical fiber

摘要

A rigorous analytical transmission matrix H for optical wave with weak modulation, including intensity modulation (IM) and phase modulation (PM), is derived considering the fiber nonlinearity, dispersion and loss based on the physical process. Four elements of matrix H correspond to conversions of IM→IM, PM→IM, IM→PM and PM→PM, respectively and the nonlinear components are extensively investigated. Physical insight of transmission effects is obtained explicitly. Matrix description makes it especially useful in the design and analysis of chained optical amplifier systems.