Abstract
We present a method to obtain the frequency response of step index (SI) plastic optical fibers (POFs) based on the power flow equation generalized to incorporate the temporal dimension where the fibre diffusion and attenuation are functions of the propagation angle. To solve this equation we propose a fast implementation of the finite-difference method in matrix form. Our method is validated by comparing model predictions to experimental data. In addition, the model provides the space-time evolution of the angular power distribution when it is transmitted throughout the fibre which gives a detailed picture of the POFs capabilities for information transmission. Model predictions show that angular diffusion has a strong impact on temporal pulse widening with propagation.
Highlights
Transmission properties in multimode fibers, such as attenuation and bandwidth, show a nonlinear dependence with fibre length whose origin is generally attributed to mode coupling
There are several proposals in the literature to obtain bandwidth from other parameters more measured, such as the numerical aperture (NA) [1], but we have shown that these simple models cannot give a complete description of the changes in bandwidth with length [2]
The diffusion and attenuation functions, d(θ ) and α(θ ) used in the model calculations were those previously estimated for the three different plastic optical fibers (POFs) from experimental far field patterns (FFPs) [3]
Summary
Transmission properties in multimode fibers, such as attenuation and bandwidth, show a nonlinear dependence with fibre length whose origin is generally attributed to mode coupling. We devised a method based on Gloge’s power flow equation and on experimental far field patterns (FFPs) to obtain the angular diffusion and attenuation functions characteristic of a given fiber [3]. These functions provide an account of the fiber spatial behavior and, along with the power flow equation, can be used to predict output power angular distributions at any fiber length and for any launching condition [4]. This description was incomplete because the temporal dependence was not explicit in the equation and frequency response and bandwidth could not be calculated
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