The electric field of a linearly polarized electromagnetic wave is given by $$E_{i}=\hat{a_{x}}E_{o}(x,y)e^{-jkz}$$ is incident upon a linearly polarized antenna whose electric field polarization is expressed as $$E_{a}=(\hat{a_{x}}+\hat{a_{y}}) E(r,\theta,\phi)$$.Find the polarization loss factor.

A

$$\frac{1}{2}$$

B

$$\frac{3}{2}$$

C

$$\frac{2}{3}$$

D

$$\frac{1}{4}$$