Question

2. 24 pts. Boundary conditions for EM wave reflection and transmission. The boundary conditions incident on a boundary can be written as: conditions on electromagnetic waves (ii) E- E0 (ii) B-B: =0 (a) 10 pts. Corresponding Maxwell Equations. For each equation (i, ii, iii, iv) above write the corresponding Maxwell equation in BOTH operator form AND in integral form from which the boundary condition can be derived. What terms in Maxwell's equations are assumed to be zero in the above? (b) 10 pts. Pillbox or line integral sketches. Considering only the integral forms of Maxwell's equations, make a sketch of the either the pillbox or line integral surrounding the incident boundary from which each of the boundary conditions can be derived. Explain or show the value of contributions on each surface (pillbox case) or line segment (line integral case) (c) 4 pts. Conductors versus dielectrics. The boundary conditions above can be used to calculate reflected and transmitted waves from BOTH dielectrics and conductors. The symbolic expressions for reflection and transmission coefficients are the same except for a small change in a property of index of refraction and wavenumber k inside the conductor. What is this change and what is it due to?

Answer 1

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