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Fields at an interface

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See attached file for complete formulation of the problem.

The problem deals with the electric and magnetic field behavior at an interface.

The first question asks to show that using Maxwell's equations we can obtain the wave equation for the fields.
The second question asks as to draw the fields at the interface.
The third question asks us to write the boundary conditions for the fields, and using them to find the coefficients of transmission and reflections.

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Th solution is 8 pages long including detailed explanations and derivations of all relevant equations.

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