English

Stereographic coordinates for simpler far-field radiation analysis

Classical Physics 2022-10-26 v1

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.

Keywords

Cite

@article{arxiv.2110.15121,
  title  = {Stereographic coordinates for simpler far-field radiation analysis},
  author = {Vassili Savinov},
  journal= {arXiv preprint arXiv:2110.15121},
  year   = {2022}
}
R2 v1 2026-06-24T07:15:56.375Z