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Introduction to Electrodynamics | 4th Edition | ISBN: 9780321856562 | Authors: David J. Griffiths
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Calculate the exact reflection and transmission

Chapter 9, Problem 14P

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QUESTION:

Problem 14P

Calculate the exact reflection and transmission coefficients, without assuming μ1 = μ2 = μ0. Confirm that R + T = 1.

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QUESTION:

Problem 14P

Calculate the exact reflection and transmission coefficients, without assuming μ1 = μ2 = μ0. Confirm that R + T = 1.

ANSWER:

Solution 14P

Step 1 of 7:

Consider the electromagnetic wave propagates through a medium. Both the medium have appropriate permittivity and permeability. We are going to find the coefficients of the reflection and transmission and the sum of the both. Assume that the mediums are not equal. The speeds of the wave in the first and second medium are v1 and v2 respectively.

The permittivity of the first medium = ϵ1

The permittivity of the second medium = ϵ1

The permeability of the first medium = μ1

The permeability of the second medium = μ2

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