(adsbygoogle = window.adsbygoogle || []).push({}); 1. Problem Statement

Write time-domain expression for electric fielde(r,t) of unifrom plane wave with amplitude Eo and frequency f= 1 GHz propagating in free space. The plane wave is propagating in yz plane, 30 degrees from the +y-axis, and 60 degress from -z axis. It is linearly polarized in the x-direction. Find the correspondingh(r,t) field as well.

2. The attempt at a solution

Ife(r,t) = Re{E(r)exp(iwt)},

wherer= xax + yay + zaz

and w = 2 * pi * f

andk= k [cos(theta)*az + sin(theta)*ay]

Since this vector in the yz-plane is 30,60,90.

Shouldn'trbe :r= sqrt(3)*ay +az

Then do dot product ofrandkto get the exponential of e(r,t)

Is this way off base, i think i'm getting confused withkandr, because of the propagation direction versus the polarization direction.

If someone could help me understand this a bit better, i would greatly appreciate it. Thanks.

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# Homework Help: Time Domain Expression

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