Numerical Modeling of transmisiion in Step Index Polymer Optical Fibers Using Matrix Exponential Method

In the paper, an efficient method for calculation of the frequency response, impulse response and mode power distribution in step-index polymer optical fibers (SI POF) is presented. We propose to convert the Gloge's power flow equation into an ordinary equation set that can be efficiently solved with matrix exponential method. The solution does not require finite difference discretization and its computational complexity is independent from the fiber length. Results of calculation of the mode power distribution, frequency and impulse responses and bandwidth dependency are shown.