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The time-harmonic magnetic field in a half-space region - < x, y < , z < 0 with constitutive parameters (0, 0) is given

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The time-harmonic magnetic field in a half-space region - < x, y < , z < 0 with constitutive parameters (0, 0) is given as H = Ho (e-ko (2 sindo+zcosto) + e-jko(zsinfo-z cos do)) where Ho is a constant, ko Woo and I is known as a reflection coefficient. An impedance boundary exists at z = 0 having a surface impedance Z,. Determine the constant I by enforcing the impedance boundary condition at the plane z = 0 assuming the region of interest to be the half space z < 0. Your answer will be in terms of Zs, no = Ho/60 and 00. (40 points)

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