Complete absorption of E-fields by surface

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Homework Statement

An EM wave is incident normally on a surface which absorbs all the electric field. Using maxwell equations, determine B-field on the other side.

Homework Equations

The Attempt at a Solution

If all the E-field is absorbed, won't E_T and E_r = 0? Then none of these boundary conditions make any sense.

Boundary Conditions:

 

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