Theorem_far_field_magnetic_vector_potential_report.tex

%
% Copyright © 2018 Peeter Joot.  All Rights Reserved.
% Licenced as described in the file LICENSE under the root directory of this GIT repository.
%
\maketheorem{Far field representation.}{thm:potentialSection_farfield:1}{
Given a spherical wave vector(dual-vector) potentials with representations
%\label{eqn:potentialSection_farfield:2400}
\begin{equation*}
\begin{aligned}
\BA &= \frac{e^{-j k r}}{r} \bcA( \theta, \phi ) \\
\BF &= \frac{e^{-j k r}}{r} \bcF( \theta, \phi ),
\end{aligned}
\end{equation*}
the \textit{far field} (\(r \gg 1 \)) electromagnetic fields are given respectively
%\label{eqn:potentialSection_farfield:2520}{
\begin{equation*}
\begin{aligned}
F &= -j \omega \lr{ 1 + \rcap } \lr{ \rcap \wedge \BA} \\
F &= -j \omega \eta I \lr{ 1 + \rcap } \lr{ \rcap \wedge \BF }.
\end{aligned}
\end{equation*}
} % theorem