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In this paper, we show the relation between the time-varying spinning natureof the instantaneous Poynting vector and the phasor form of the complexPoynting vector in the bulk of the gyromagnetic medium. We show the presence ofa transverse reactive power component in the bulk of the gyrotropic medium,even for plane wave propagation. We use a simple quantification technique ofPoynting vector spin to analyze the rotation of the instantaneous Poyntingvector using the complex phasor form of the time-averaged Poynting vector. Fora transverse electric mode, we show the similarity between the Poynting vectorspin and the photonic spin of the magnetic field. The Poynting vector spin isthen used to represent the transverse power transfer across a ferrite-airinterface supporting TE surface wave modes. Considering a gyromagneticferrite-filled rectangular waveguide following the TE mode profile, we show thecorrespondence between the Poynting vector spin and the overall positive andbackward power flow. We analytically propose a mechanism to engineer the regionof the waveguide supporting backward and forward power propagation.

Complex Poynting vector in gyromagnetic media and its impact on power flow in guided modes