Structured and Intuitive Phasor Transmission and Scattering Equations

Two versions of phasor transmission equations derived using power wave theory are presented. These equations aim at having similar structure as the well-known Friis’ transmission equation and thus being easy to apply whenever the phase shift in the wireless link cannot be omitted. All versions are arranged so that they intuitively follow the flow of electromagnetic energy from the transmitter all the way to the receiver. In addition, two versions of phasor scattering equations using the same path loss and antenna quantities are introduced. These are intended to help with simplified analysis of communication channels with unintentional or intentional scatterers such as the reconfigurable intelligent surfaces.