# lec15 - ECE 130A Plane Wave Reflections at Boundaries Fall...

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ECE 130A Plane Wave Reflections at Boundaries Fall 2002 F130a14_planewave_reflections.fm 1 Plane Wave Propagation, Reflections at Boundaries E H x y kl j kl kl j kl == + + hh 1 21 12 cos sin cos sin

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ECE 130A Plane Wave Reflections at Boundaries Fall 2002 F130a14_planewave_reflections.fm 2 Plane Wave Propagation, Reflections at Boundaries and Impedance We established the relations among and for a plane wave propagating in the z direction earlier. We use these relations to consider reflection at a boundary. The relations are: Field Reflection Coefficient, At , we must apply the boundary conditions: For the electric field: E tangential is continuous. Now for the magnetic field: (Remember that , a plane wave) We cannot satisfy both of these equations at the same time. We conclude that we must add a reflected field for a non-trivial solution. G E G H E x Ee jkz =+ + - - + H EE y xx =- +- hh k v == wme w a f 1 2 h m e = F H I K 1 2 r E 2 + E 1 + 1 2 E 1 - 1 2 z = 0 12 ++ = ηη = H E y x =
ECE 130A Plane Wave Reflections at Boundaries Fall 2002 F130a14_planewave_reflections.fm 3 Let’s apply boundary conditions again with the addition of a reflected wave.

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lec15 - ECE 130A Plane Wave Reflections at Boundaries Fall...

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