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Topological insulators and their optical properties
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[QUOTE="Nate810, post: 6886228, member: 553083"] To answer your question, the boundary conditions in this case are as follows: i) The tangential component of the electric field (E⊥) must be continuous across the boundary. ii) The tangential component of the magnetic field (H⊥) must also be continuous across the boundary. iii) The normal component of the electric field (E⋅) must be equal in magnitude and direction on both sides of the boundary. iv) The normal component of the magnetic field (H⋅) must also be equal in magnitude and direction on both sides of the boundary. Using these conditions, we can derive a relation between the incident and the reflected waves at the boundary: the ratio of the amplitudes of the reflected wave to the incident wave is equal to the ratio of the sines of the angles of incidence and reflection. This is known as the law of reflection. You can use the constitutive relations to derive this relation, by substituting the components of the electric and magnetic fields into the wave equations, and then using the boundary conditions to solve for the parameters of the reflected wave. [/QUOTE]
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Topological insulators and their optical properties
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