The regiony 0 is filled with material where = 0 and D ij =

The regiony 0 is filled with material where μ = μ₀ and D_ij = ϵ _ijE_j. Let α, β, and γ be real numbers and take the dielectric matrix as

(a) Write out the electric field everywhere if a wave incident from the vacuum is E = E₀ x̂ exp[iω(y/c − t )].
(b) Repeat part (a) if the incident field is E = E₀ x̂ + ẑ √2 exp[iω(y/c − t)].

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