Degree of Polarization at Simultaneous Transmit: Theoretical Aspects

We consider weather radar measurements at simultaneous transmission and simultaneous reception of horizontal and vertical polarizations and show that the degree of polarization at simultaneous transmit
$(p_{s})$
is related to differential reflectivity and copolar correlation coefficient at simultaneous transmit (namely,
$Z_{\rm DR}^{s}$
and
$\rho_{hv}^{s}$
). We evaluate the potential of degree of polarization at simultaneous transmit for weather radar applications. Ultimately, we explore the consequences of adjusting the transmit polarization state of dual-polarization weather radars to circular polarization.