- Page 1 and 2: DISSERTATION Wave Propagation in Li
- Page 3: Kurzfassung Seit der Entdeckung des
- Page 8 and 9: Alles Gescheite ist schon gedacht w
- Page 10 and 11: practical use in the popular report
- Page 12 and 13: investigated examples was straightf
- Page 14 and 15: 4 One-dimensional quantum tunnellin
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- Page 18 and 19: Chapter 1 1 The many velocities of
- Page 20 and 21: The superposition then yields the w
- Page 22 and 23: 1 The many velocities of wave propa
- Page 24 and 25: 15 10 5 0 -5 -10 ε 1 The many velo
- Page 26 and 27: 1 The many velocities of wave propa
- Page 28 and 29: Brillouin precursor Sommerfeld prec
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- Page 32 and 33: 1 The many velocities of wave propa
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- Page 36 and 37: Chapter 2 Signals faster than light
- Page 38 and 39: d a1 a2 a1 !c1 = c a1 !c2 = c a2 2
- Page 40 and 41: 2 Signals faster than light? betwee
- Page 42 and 43: 2 Signals faster than light? destru
- Page 44 and 45: 2 Signals faster than light? Remark
- Page 46 and 47: 2 Signals faster than light? The co
- Page 48 and 49: U 3Wave propagation in electromagne
- Page 50 and 51: 3Wave propagation in electromagneti
- Page 52 and 53: z y x l 2d 3Wave propagation in ele
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ve/c 1 0.8 0.6 0.4 0.2 0 2.5 5 7.5
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whereas the energy velocity in the
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Straightforward integration yields
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3.6 Inhomogeneous transmission line
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0 100000 2 10000 X 4 1000 6 r 8 100
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3Wave propagation in electromagneti
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3Wave propagation in electromagneti
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3Wave propagation in electromagneti
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30 30 3Wave propagation in electrom
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120 100 80 60 40 20 0 120 100 80 60
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0.5 -0.5 I/I0 -1 3Wave propagation
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3Wave propagation in electromagneti
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0.8 0.6 0.4 0.2 Y 1 0 3Wave propaga
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0.75 0.5 0.25 -0.25 -0.5 -0.75 U/U0
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3Wave propagation in electromagneti
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3Wave propagation in electromagneti
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Chapter 4 One-dimensional quantum t
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4 One-dimensional quantum tunnellin
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tun = !p c + !p c + !p c Z ,1 ,1 Z
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-60 -50 -40 -30 -20 -10 3 2 1 -1 Ψ
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0.1 0.001 0.00001 -7 1. 10 -9 1. 10
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30 25 20 15 10 5 0 -20 0 30 X 4 One
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30 1 0.88 0.6 .6 P 0.4 .4 0.2 .2 0
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P 0 6 4 2 0 -40 10 40 30 20 10 T 20
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P 0 2 1.5 1 0.5 0 0 1 50 2 X T 100
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P 2 1.5 1 0.5 0 0 2 X 4 0 4 One-dim
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5 4 3 2 1 P 0 100 200 300 400 T 5 4
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4 One-dimensional quantum tunnellin
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2 = !p c 3 = !p c !p c Z 1 ,1 Z 1 Z
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τ 8 7 6 5 4 3 2 1 4 One-dimensiona
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4 One-dimensional quantum tunnellin
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4 One-dimensional quantum tunnellin
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30 25 20 15 10 5 T 4 One-dimensiona
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P 0 3 2 1 10 0 -40 T 40 30 20 10 20
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25 20 15 10 5 T 4 One-dimensional q
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P 2 0 1 0 140 120 100 80 60 40 20 5
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4 One-dimensional quantum tunnellin
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200 150 100 50 T 4 One-dimensional
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17.5 15 12.5 10 7.5 5 2.5 τ 0.5 1
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118 4 One-dimensional quantum tunne
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Interlude power and numerical accur
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Interlude whatsoever. Consequently
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Chapter 5 Numerical quadrature and
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5 Numerical quadrature and extrapol
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5 Numerical quadrature and extrapol
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5 Numerical quadrature and extrapol
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Chapter 6 Towards a quadrature rout
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6Towards a quadrature routine Remar
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1.575 1.57 1.565 6Towards a quadrat
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6.2 Choosing the rst partition poin
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6Towards a quadrature routine The c
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6Towards a quadrature routine Examp
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100 90 80 70 60 50 40 6Towards a qu
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is most easily obtained from R 1 0
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6Towards a quadrature routine For t
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0.001 -6 1. 10 -9 1. 10 -12 1. 10 -
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6Towards a quadrature routine the b
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0 -5 -10 -15 0 20 ne 40 0 6Towards
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-5 -7.5 -10 -12.5 10 20 30 ne 40 50
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7.5 5 2.5 -2.5 -5 -7.5 Figure 6.11:
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25 20 15 10 5 6Towards a quadrature
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7 Mathematica implementation of a q
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7 Mathematica implementation of a q
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7.3.1 OscInt ApproxLimGeneric Asymp
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7.3.3 PartitionOffs 7 Mathematica i
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7.3.4 PartitionPoints 7 Mathematica
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7 Mathematica implementation of a q
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7.4.1 Zero computation for quadrati
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Exact solution 7 Mathematica implem
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7.4.3 Approximation error control 7
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7 Mathematica implementation of a q
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Out[14]= 0.537450389063711 7 Mathem
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In[23]:= f[x_] := Exp[-x] Cos[x]; O
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Example 7.5.12 Z 1 0 sin x 2 7 Math
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In[37]:= f1[x_] := Exp[I (x - 1/x)]
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Chapter 8 8 Application of the quad
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8 Application of the quadrature rou
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ef,tria trans,tria evan,tria p l =
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Likewise, we collect the de nitions
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8 Application of the quadrature rou
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8.3 Implementation of the quadratur
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8 Application of the quadrature rou
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] ]; 8 Application of the quadratur
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-200 -150 -100 -50 Example 8.4.2 1
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8 Application of the quadrature rou
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Out[11]= f19.773 Second, -0.0003433
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8 Application of the quadrature rou
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Appendix A Mathematica packages A M
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integration limit a or the rightmos
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]; N[zerof[0]] < max, Ceiling[i/.Fi
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]; AccuracyGoal->ag, MaxIterations-
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coordinate the functions either ret
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RectRefPos[a_,b_,c_,d_,w_,k_][xi_]
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PhiArg[a, b, c,d],1,opts] + OscInt[
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]; PhiGradEvan[x_, t_, w_, k_, opts
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PhiFro::usage = "PhiFro[x,t,w,k,n,l
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SetAttributes[PhiInc, ReadProtected
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(* Protect[CurrStat, CurrTrans, Cur
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ReSize[l_List,n_] := ReSize[l,{n,n}
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Bibliography [15] Simon Ramo, John
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Bibliography [44] George C. Sherman
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Bibliography [75] Aephraim M. Stein
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Bibliography [107] Abraham Goldberg
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Bibliography [139] R. Riedel. Einfu
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in a plasma, 41 in wave guides, 22,
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250