(Solved): QUESTION: An antenna is located at the origin of the coordinate system. It is known that the anten ...

QUESTION: An antenna is located at the origin of the coordinate system. It is known that the antenna radiates a Right Hand Circularly Polarized (RHCP) wave towards the $$\hat{z}$$ direction. (a) (40pts) Write down the unit vector $${\hat{p}}_a$$ that defines the RHCP polarization state of the radiated field. $$?$$ You must show/prove that this is an RHCP vector from time domain plots as was done in lecture slides and lecture meetings. Otherwise, no points will be awarded. (b) (40pts) Consider now an incident field arriving to this antenna along the z-axis. The incident field is Left Handed Circularly Polarized (LHCP). Write down the unit vector $${\hat{p}}_i$$ that defines the polarization state of this incident field. $$?$$ You must show/prove that what you write is an LHCP vector with time domain plots as was done in lecture slides and lecture meetings. Otherwise, no points will be awarded. $$?$$ Alternatively, it is acceptable if you want to base your reasoning on your answer and time domain plot given in part a. If you do this, you must clearly explain the relationship/reasoning. (c) (20 pts) Calculate the polarization loss factor in linear scale from $${?{\hat{p}}_a?{\hat{p}}_i?}^2$$.