1. , , and the direction of propagation are all

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Presentation transcript:

1. , , and the direction of propagation are all Electromagnetic Waves If 1. , , and the direction of propagation are all perpendicular to each other. 2. and are in phase. 3. The wave appears to move in the +z direction as though it were a rigid structure moving toward the right (in exactly the same way as the transmission-line waves).

Reflection and Transmission at Normal Incidence Electromagnetic Waves Reflection and Transmission at Normal Incidence When a plane wave from one medium meets a different medium, it is partly reflected and partly transmitted. If the boundary between the two media is planar and perpendicular to the wave’s direction of propagation, the wave is said to be normally incident on the boundary. Let us consider a wave linearly polarized in the x direction and propagating in the +z direction, that strikes a perfectly conducting wall at normal incidence. The wall is located at z=0. incident wave reflected wave

At the interface z=0, the boundary conditions require that Electromagnetic Waves At the interface z=0, the boundary conditions require that the tangential component of E must vanish (since for z>0) (This result is similar to the expression for the voltage on a short-circuited transmission line) The wave impedance is defined as This impedance is analogous to the input impedance Z(z)=V(z)/i(z) on a transmission line. For a single x-polarized wave moving in the +z direction , intrinsic impedance of the medium.

reflection coefficient Electromagnetic Waves reflection coefficient transmission coefficient The incident wave is totally reflected with a phase reversal, and no power is transmitted across a perfectly conducting boundary. The conducting boundary acts as a short circuit. standing wave ratio

Let us next consider the case of a plane wave normally Electromagnetic Waves Let us next consider the case of a plane wave normally incident on a dielectric discontinuity

reflection coefficient Electromagnetic Waves z=0 reflection coefficient transmission coefficient

Electromagnetic Waves 7