Unformatted text preview: tions centered around the origin, but centered around diﬀerent k in the Fourier transform. What happens to the wave packets after suﬃciently long time in free space and in the wave guide? For your handing in, please provide the analytic form of the physical wave (real valued amplitude, and initial time derivative), the complex valued initial function for the ﬁeld. All with a suitable set of parameters. Also add a printout of your short code. Provide plots for t=0 and suitable chosen followup times to show how the pulse propagates in time. Remark: with the mathematics packages it should not be too hard to implement the numerics with the standard mathematics tools, but you will have to spend some thought to ﬁnd which parameter regime which demonstrates the expected eﬀects without running into numerical problems. 1...
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 Winter '09
 NorbertLutkenhaus
 Physics, Space

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