Engineering and Applied Sciences Applied Physics 216 Lecture 14: Lecture 14

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Ap 216 lecture 14 constitutive relations and oscillators. Using the results of that last few lectures requires that we know how to evaluate p or equivalently and . The there are two kinds of oscillators that form the basis for all simple models. The first is the linear or harmonic oscillator. We will treat the first in detail here and relate it to the local polarizability. 21 with bc that g( t < t") = 0 Integration of equation (2) from t = t" to t = t" + and then letting 0 gives. 22 m dg t t dt t t. Multiplying equation (2) by t gives t t. 26 d dg t t m t dt m dg t t dt m tg t t. 0 t dg t t dt t t t (4) dt. Integration of equation (4) from t = t" to t = t" + and then letting 0 gives.

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