The 3 materials below are all lossless and non-magnetic. Show the reflection coe
ID: 1921748 • Letter: T
Question
The 3 materials below are all lossless and non-magnetic.
Show the reflection coefficient is zero at the first boundary if 1= (02)and d = 1/4
Ei is just a plane wave normally incident on material 1
Please explain all the steps
Explanation / Answer
Light is in the medium with e0 and incident on the material with e1. The index of refraction is e^2 If e0 > e2, e1 will be less than e0 and there will not be a 180 degree phase shift at the e0 to e1 interface for the reflected wave. e1 will also be greater than e2 and there will not be a 180 degree phase shift at the e1 to e2 interface. The wave that reflects off of the e1 to e2 interface has traveled lamda/2 in the medium, so it interferes destructively with the beam that reflects off of the e0 to e1 interface. The strength of the reflection depends on the difference in index of refraction e0/SQRT(e0e2) = SQRT(e0e2)/e2 Use product of the means equals product of the extremes SQRT(e0e2)*SQRT(e0e2) = e0e2, so the relative strengths of the reflected fields is equal, so the reflected beams perfectly cancel, producing a reflection coefficient of zero. If e0 = e2, then e1 = e0 = e2 and there is no interface for the light to scatter off of. If e0Related Questions
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