The electric field of a uniform plane wave traveling along the negative $z$ direction is given by the following equation:
$${\overrightarrow {E}^i_w= ( \hat {a}_x+ j\hat {a}_y)E_0e^{jkz}}$$
This wave is incident upon a receiving antenna placed at the origin and whose radiated electric field towards the incident wave is given by the following equation:
$${\overrightarrow E_a= ( \hat {a}_x+ 2\hat {a}_y)E_I\frac{1}{r}e^{-jkr}}$$
The polarization of the incident wave, the polarization of the antenna and losses due to the polarization mismatch are, respectively,
- Linear, Circular(clockwise), $-5$dB
- Circular(clockwise), Linear, $-5$dB
- Circular(clockwise), Linear, $-3$dB
- Circular(anti clockwise), Linear, $-3$dB