Question

Consider a source consisting of an infinite sheet lying in the xy-plane in free space. A...

Consider a source consisting of an infinite sheet lying in the xy-plane in free space. A uniformly distributed current Js(t) flows on this infinite plane sheet.

(a) The source generates sinusoidally time-varying uniform plane waves propagating in the ±z-direction in free space. Consider the +z propagation having the following characteristics: f = 200MHz and polarization is left circular with the electric field at z = 0+ and t = 0 having an x-component equal to -2E0 and a y-component equal to 1.5E0. Please write the expressions for the electric-and magnetic- field intensities for this wave.

(b) What is the expression for Js(t).

Homework Answers

Answer #1

Thus,

where

c being the speed of light. For plane waves

where is the unit wavevector.

NOT THE FINAL ANSWER!

But there is an extra phase difference due to circular polarisation,

CORRECT MAGNETIC FIELD.

For source use the Ampere-Maxwell equation

LHS gives

Similarly,

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