You could do it with gnuplot: it can do polar plots with logarithmic axes, or even axes with arbitrary scaling functions in newer versions. You'd also have complete control over the presentation (line widths, colors etc.) and the output format.
That said, I can't make sense of your data file: what data is in the columns, and where are the angles?
Also, I can't download your perl script, it shows a server error instead.
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