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Calculate the exact reflection and transmission coefficients

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Calculate the exact reflection and transmission coefficients, without assuming mu1=mu2=mu0. Confirm that R +T = 1.

I have assembled the equations I think I need and I have been supplied the answer at the bottom. I am having trouble bringing it all together.

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It calculates the exact reflection and transmission coefficients without asuming mu1 = mu2 = mu0.

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Please see the attached file.

Calculate the reflection coefficient in terms of E-field,
(1)
The ...

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