table 6.2 - Boundary conditions for the electric and magnetic fields

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Oct 30, 2023

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Table 6-2 Boundary conditions for the electric and magnetic fields. Field Components el oras Medium 1 Medium 2 Medium 1 Medium 2 Dielectric Dielectric Dielectric Conductor Tangential E ) x(E;—E;)=0 E = Ey Ew=Ex=0 Normal D fiy (D) —Dy) = ps Dyn —Dop = ps Dyn = ps Dy =0 Tangential H ny X (H; —Hp) = Js Hy; = Hy, Hy=Js Hy =0 Normal B fiz-(Bl—B2)=0 Bln =an Bln =an=0 Notes: (1) ps is the surface charge density at the boundary; (2) J is the surface current density at the boundary; (3) normal components of all fields are along fi;, the outward unit vector of medium 2; (4) E; = E implies that the tangential components are equal in magnitude and parallel in direction; (5) direction of J; is orthogonal to (H; —Hj).
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