A vectorial analysis of the two-ray model

In this work we present an UHF band two-ray model for elevated antennas over a flat Earth, which consists of a ray that arrive at the receptor along a straight line and of a ray that arrive at the receptor after a ground reflection. This model is analyzed throughout two manners for parallel polarization: with and without approximations regarding to the summation of the electric fields at the point of reception. For the model analyzed without approximations, an ideal dipole is assumed as a transmitting aerial and a vectorial analysis is accounted. For the model analyzed with approximations, only an algebraic sum is carried out. For parallel polarization, the vertical and horizontal components of electric field are compared. After that, a comparison between these two manners is made, and an analysis of the error versus r distance is provided.