Free space transmission lines in receiving antenna operation

TL;DR

This paper derives exact frequency-domain expressions for the voltage and current induced in two-conductor transmission lines by plane waves, validated through simulations and applicable to various incident conditions.

Contribution

It provides a comprehensive analytical framework for modeling free space excitation of transmission lines, including scattering matrices and reciprocity, for any incident wave direction and polarization.

Findings

Analytical expressions match simulation results

Applicable to any small cross-section transmission line

Validates with commercial software and literature

Abstract

This work derives exact expressions for the voltage and current induced into a two conductors non isolated transmission lines by an incident plane wave. The methodology is to use the transmission line radiating properties to derive scattering matrices and make use of reciprocity to derive the response to the incident wave. The analysis is in the frequency domain and it considers transmission lines of any small electric cross section, incident by a plane wave from any incident direction and any polarisation. The analytic results are validated by successful comparison with ANSYS commercial software simulation results, and compatible with other published results.