Reception of Quasi-Monochromatic, Partially Polarized Plane Waves

Abstract

An antenna is situated at the origin (15,87) of a spherical coordinate system (r, ϑ, φ). A partially polarized, quasi-monochromatic, plane wave impinges from the direction ϑ, φ on the antenna aperture where ${{{\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\vec{E}}}}_{e}}(r,t)$ corresponds to the complex field vector of the incident wave

$$ {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{\vec E}_e}(r,t) = {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{E}_\vartheta }{\vec e_\vartheta } + {\underset{\raise0.3em\hbox{$\smash{\scriptscriptstyle-}$}}{E}_\varphi }{\vec e_\varphi } $$

(3.1)

with

$$ {\underline E _\vartheta } = {A_1}(t)\exp j\left\{ {\omega t + kr + {a_1}(t)} \right\} $$

and

$$ {\underline E _\varphi } = {A_2}(t)\exp j\left\{ {\omega t + kr + {a_2}(t)} \right\}. $$

.