Engineering and Applied Sciences Applied Physics 216 Lecture 22: Lecture 22

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Ap 216 lecture 22 electromagnetic fields in optically dilute matter. First we review a result we obtained in the last lecture. We found that for an infinite plane with a current density. 1 x ev ev ( ) cos( z t e z. R e i t there will be a radiated electric field for. 0 c c1 os( x z c t i z c e t. Note that we have changed notation a bit. We replaced nq in our previous expression by e . Is now the areal density of electrons in the plane and e is the charge of an electron which is assumed the mobile charge in this problem. In this lecture n will be saved for the index of refraction which will be introduced later. From equation (2) we see that the radiated electric field at the plane is in phase with the electron velocity there.

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