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1.1 Dataset Background

This project examined two different types of datasets.

The first consists of the energy flow in an optical fibre for a given mode. This is stored in an ASCII text file, where the first three columns correspond to cylindrical polar coordinates in 3-space (i.e \( r,\phi ,z \)), and the fourth column represents the corresponding scalar energy flow. These data points are arranged on a regular grid in \( r \), \( \phi \), \( z \) with dimensions \( 100\times 101\times 20 \). The data values for \( \phi =0 \) and \( \phi =2\pi \) and are both stored in the file and this is the reason why there are 101 values rather than 100 values for \( \phi \). In addition, the dataset did not contain the \( r=0 \) position or the corresponding data values.

The second type of data set has the same coordinate system as the first. However, in this case the data values are 3-vectors representing the electric field. These are stored in three columns corresponding to the \( z \), \( \phi \), and \( r \) electric field components respectively. As with the previous dataset, it is also regular and has dimensions \( 100\times 101\times 20 \).

A number of datasets of the types above were generated for various modes for a given \( n_{eff} \) and \( V \) (see Section 1). Datasets of the same mode at different \( n_{eff} \) and \( V \) were also examined, and these were animated (see Section 2.1). In addition, data was obtained for a three layer step-index fibre where the third layer represents the jacket of the fibre.

This data was generated by a Fortran77 program which is part of my PhD work. The motivation behind this visualisation project is to verify the correctness of the program against theoretical expectations. In addition, the visualisations provide insights into the understanding of the physical system.


next up previous
Next: 2 Visualisations Up: 1 Theory Previous: 1 Theory
Audrey Lobo
2001-11-02