Find the polarization of the wave linear circular or

Question

In a source-free, free-space region the complex magnetic field is given by

H = j(a^{^}y - ja^{^}z) (E₀/η₀)e + jβ₀x

where E₀ is a constant and ?0 is the intrinsic impedance of free space. Find the:

(a) Polarization of the wave (linear, circular, or elliptical). Justify your answer.

(b) Sense of rotation, if any (CW or CCW). Justify your answer.

(c) Time-average power density.

(d) Polarization of the wave on the Poincare sphere.