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Problem.Set.6a.soln.2009

# Problem.Set.6a.soln.2009 - Wave motion in a medium This...

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Wave motion in a medium page 1 This program calculates the electric field in an ionic crystal (set for KBr) as a function of position, z, and time, t. See Eq. 2.190 on page 46 of the notes. In this case we assume that the propagation vector, k, is along the z direction. E is thus perpendicular to k. mod. 11-21-08 Let eo 1.5 := dw 0.6 := wo 5 := wx 0.0001 0.001 , 20 .. := i 1 () 0.5 := Re i 0 = Im i 1 = Eo(w,wo) represents the electric field magnitude as a function of frequencies peaked at wo. You can adjust wo. Eo wx wo , eo e wx wo 2 dw 2 := Part a 01 02 0 0 1 2 Eo wx wo , wx IONIC CRYSTAL PERMITTIVITY ε o 1 := ε s 5.78 2.64 := wT 2.26 134 120 10 13 := γ 10 11 := ε Ionic wx ε o wT 2 w 2 ε o ε s 1 i γ w + wT w 2 + := wx= w/wT ε Ionic wx ε o 1 wx 2 ε o ε s 1 i γ wx wT + 1 wx 2 + :=

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page 2 Complex Index of Refraction : ε w () ε Ionic w := R w Re ε w := Iw Im ε w := Part b w 0.0001 0.001 , 5 .. := nw 2 0.5 Rw 2 2 + 0.5 + 1 2 := dn w w d d := wT 2.524 10 13 × = dn 10 1.221 10 3 × = kap w 2 0.5 2 2 + 0.5 +
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Problem.Set.6a.soln.2009 - Wave motion in a medium This...

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