Stereographic coordinates for simpler far-field radiation analysis

Vassili Savinov

doi:10.1109/tap.2022.3171732

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arXiv · 2110.15121

Stereographic coordinates for simpler far-field radiation analysis

Vassili Savinov

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Abstract

A coordinate system is proposed for the purposes of analysis of far-field radiation from a localized source at the origin. The proposed coordinates exhibit no singularities over the far-field hemi-sphere, making them a good choice for automated radiation pattern analysis. Finally, it is shown that Ludwig polarization basis, commonly used to represent polarization of the far-field radiation, arises naturally, as a coordinate basis, when one uses stereographic coordinates.

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Vassili Savinov. 2021-10-23. Stereographic coordinates for simpler far-field radiation analysis. https://doi.org/10.1109/tap.2022.3171732

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