Bonus (each is worth 7.5 pts) a) derive the maxwell equations in time domain and express them in the phasor representation b) write the elcctric field and magnctic field components of an elliptically polarized plane emw in a lossless medium as an example (you can express them in formula form or as a specific emw with specific numerical parameters, such as medium characteristic parameters, amplitude, frequency, etc.) c) sketch the perpendicular and parallel reflections. you should show the incident, reflected, and transmitted wave correctly. give an outline on how to find reflection and transmission coefficients. (suppose two lossless media and oblique incident beam) d) what is brewster angle? sketch the necessary figures, explain the physical event, and derive its formula