- #1
korps
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1. Problem Statement
Write time-domain expression for electric field e(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 corresponding h(r,t) field as well.
2. The attempt at a solution
If e(r,t) = Re{E(r)exp(iwt)},
where r = x ax + y ay + z az
and w = 2 * pi * f
and k = k [cos(theta)*az + sin(theta)*ay]
Since this vector in the yz-plane is 30,60,90.
Shouldn't r be : r = sqrt(3)*ay + az
Then do dot product of r and k to get the exponential of e(r,t)
Is this way off base, i think I'm getting confused with k and r, 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.
Write time-domain expression for electric field e(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 corresponding h(r,t) field as well.
2. The attempt at a solution
If e(r,t) = Re{E(r)exp(iwt)},
where r = x ax + y ay + z az
and w = 2 * pi * f
and k = k [cos(theta)*az + sin(theta)*ay]
Since this vector in the yz-plane is 30,60,90.
Shouldn't r be : r = sqrt(3)*ay + az
Then do dot product of r and k to get the exponential of e(r,t)
Is this way off base, i think I'm getting confused with k and r, 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.