What does it mean to have an complex transmission angle?

thatsmessedup · Oct 26, 2019

I am getting a complex number for my transmission angle in part (c) but I do not know what that means. Am I even doing this correctly? Any help will be greatly appreciated. Thanks!

$Typed homework problem 6 on EM wave reflection and refraction: a perpendicularly polarized wave passes from medium 1 (μ1 = μ0, ε1 = 8ε0) to medium 2 (μ2 = μ0, ε2 = ε0), with parts (a) to (c) and sub-part a asking for the distance z0.$

Handwritten notebook solution to a wave polarization problem on grid paper, with parts (a), (b) and (c) worked out, a vector diagram, and a circled result 1.57 - 1.52j labelled 'what?'.

tech99 · Oct 26, 2019

thatsmessedup said:

I am getting a complex number for my transmission angle in part (c) but I do not know what that means. Am I even doing this correctly? Any help will be greatly appreciated. Thanks!

View attachment 251875
View attachment 251876

When a wave crosses between media, we can see a surface wave. This is a guided wave traveling along the interface, having a field component in the direction of propagation. This component is in quadrature to the main wave. In effect, the E field vector becomes an ellipse.

thatsmessedup · Oct 26, 2019

So to get my Ktz, I will plug the complex number into cos(), slap a K0 in front and call it a day?

What does it mean to have an complex transmission angle?

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