Wave Propagation in Linear Media | re-examined

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Bibliography [75] Aephraim M. Steinberg and Raymond Y. Chiao. Dispersionless, highly superluminal propagation in a medium with a gain doublet. Physical Review A, 49(3):2071{2075, 1994. [76] Wang Yun-ping and Zhang Dian-lin. Reshaping, path uncertainty, and superluminal travelling. Physical Review A, 52(4):2597{2600, 1995. [77] Vijay K. Garg and Joseph E. Wilkes, editors. Wireless and personal communication systems. Prentice-Hall, Upper Saddle River, NJ, 1996. [78] W. D. Rummler, R. P. Coutts, and M. Liniger. Multipath Fading Channel Models for Microwave Digital Radio. IEEE Communications Magazine, 24(11):30{42, 1986. [79] Rolf Landauer. Barrier traversal time. Nature, 341:567{568, 1989. [80] Thomas E. Hartman. Tunneling of a Wave Packet. Journal of Applied Physics, 33(12):3427{3433, 1962. [81] J. R. Fletcher. Time delay in tunnelling through a potential barrier. J. Phys. C: Solid State Phys., 18:L55{L59, 1985. [82] K. K. Thornber, Thomas C. McGill, and C. A. Mead. The Tunneling Time of an Electron. Journal of Applied Physics, 38(5):2384{2385, 1967. [83] S. Collins, David Lowe, and J. R. Barker. The quantum mechanical tunnelling time problem|revisited. J. Phys. C: Solid State Phys., 20:6213{6232, 1987. [84] John R. Barker. Quantum Theory of Hot Electron Tunnelling in Microstructures. Physica, 134B:22{31, 1985. [85] E. H. Hauge and J. A. St vneng. Tunneling times: a critical review. Reviews of Modern Physics, 61(4):917{936, 1989. [86] R. Landauer. Barrier interaction time in tunneling. Reviews of Modern Physics, 66(1):217{228, 1994. [87] J. R. Barker, S. Brouard, V. Gasparian, G. Iannaccone, A. P. Jauho, C. R. Leavens, J. G. Muga, R. Sala, and D. Sokolovski. First European Workshop on Tunnelling Times. Phantoms Newsletter, pages 5{11, October 1994. [88] M. Buttiker. Larmor precession and the traversal time for tunneling. Physical Review B, 27(10):6178{6188, 1983. [89] Aephraim M. Steinberg. How Much Time Does a Tunneling Particle Spend in the Barrier Region? Physical Review Letters, 74(13):2405{2409, 1995. [90] Aephraim M. Steinberg. Conditional probabilities in quantum theory and the tunnelingtime controversy. Physical Review A, 52(1):32{42, 1995. 242
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DISSERTATION Wave Propagation in Li
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Kurzfassung Seit der Entdeckung des
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Nullum est iam dictum, quod non sit
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Preface Our popular writers and rep
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the quest for superluminality and t
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Contents Part I Wave propagation ph
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7.3.4 PartitionPoints . . . . . . .
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Part I Wave propagation phenomena S
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1.1 Phase and group velocity 1.1 Ph
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1.1 Phase and group velocity ! !c v
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1.2 A few notes on dispersion He co
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1.2 A few notes on dispersion v/c 6
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1.3 Signal velocity dipoles with a
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1.3 Signal velocity The arbitrarine
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1.4 Energy velocity For electromagn
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1.5 Other velocity de nitions For n
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1.5 Other velocity de nitions evide
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2.1 Superluminal wave propagation 2
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2.1 Superluminal wave propagation a
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2.1 Superluminal wave propagation t
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2.2 Quantum mechanical tunnelling e
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2.2 Quantum mechanical tunnelling R
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Chapter 3 Wave propagation in elect
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3.1 Model of a transmission line th
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3.2 Excursion: a delay line section
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3.3 Re ection due to termination mi
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3.4 A simple thought experiment I0
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3.5 A dispersive system: the lossle
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3.6 Inhomogeneous transmission line
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3.7 Turn-on e ects in a lossless pl
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3.8 Turn-on e ects in a wave guide
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3.8 Turn-on e ects in a wave guide
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3.9 A Gaussian pulse in plasma Like
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3.9 A Gaussian pulse in plasma 250
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3.9 A Gaussian pulse in plasma 250
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3.9 A Gaussian pulse in plasma Note
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4.1 The potential step 4.1 The pote
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4.1 The potential step Inside the b
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4.2 Initial wave forms -60 -50 -40
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4.2 Initial wave forms -60 -50 -40
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4.3 Examples of scattering processe
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4.4 The square barrier they have va
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4.4 The square barrier 1 0.8 0.6 0.
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4.5 Tunnelling time de nitions for
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4.5 Tunnelling time de nitions for
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4.6 Examples of tunnelling events P
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4.6 Examples of tunnelling events 2
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4.6 Examples of tunnelling events -
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4.6 Examples of tunnelling events t
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4.6 Examples of tunnelling events P
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4.6 Examples of tunnelling events T
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Interlude Wave functions in graphic
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Wave functions in graphical represe
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Part II Numerical aspects of wave e
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5.1 Univariate numerical quadrature
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5.1 Univariate numerical quadrature
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5.2 Convergence acceleration one, t
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5.2 Convergence acceleration (1) ,1
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6.1 Partitioning the integration in
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6.2 Choosing the rst partition poin
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6.3 How to compute the rst integral
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6.3 How to compute the rst integral
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6.4 Asymptotic partition consuming
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6.4 Asymptotic partition of the int
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6.5 Considerations for a Mathematic
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6.6 Controlling the accuracy of the
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Chapter 7 Mathematica implementatio
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7.1 User interface of the function
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7.3 Implementation of OscInt and re
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7.4 Auxiliary functions While[itera
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7.4 Auxiliary functions Linear appr
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7.4 Auxiliary functions For the sak
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7.4 Auxiliary functions Out[8]= 3 f
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7.5 Test of the quadrature routine
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Page 207 and 208: 8.1 Preparation of the wave integra
Page 213 and 214: 8.2 Outline of the program structur
Page 215 and 216: 8.2 Outline of the program structur
Page 217 and 218: 8.3 Implementation of the quadratur
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Page 221 and 222: 8.4 Test of the package 8.4 Test of
Page 223 and 224: 8.4 Test of the package -200 -150 -
Page 225 and 226: 8.4 Test of the package 0.4 0.2 -0.
Page 227 and 228: 8.4 Test of the package 8.4.2 Forma
Page 229 and 230: 8.4 Test of the package Out[24]= 0
Page 231 and 232: A.1 Numerical quadrature Asymptotic
Page 233 and 234: A.1 Numerical quadrature WynnDegree
Page 235 and 236: A.1 Numerical quadrature Which[ft =
Page 237 and 238: A.2 Solutions for the step potentia
Page 245 and 246: A.3 Solutions for the square barrie
Page 247 and 248: A.3 Solutions for the square barrie
Page 249 and 250: A.4 Electromagnetic waves function
Page 251 and 252: A.5 Utilities for displaying points
Page 253 and 254: Bibliography Bibliography [1] James
Page 255 and 256: Bibliography [29] Kurt Edmund Oughs
Page 257: Bibliography [59] Ch. Spielmann, R.
Page 261 and 262: Bibliography [123] T. O. Espelid an
Page 263 and 264: Index Index absorption, 7, 9 accura
Page 265 and 266: Index saddle point integration, 11,
Page 267: Curriculum vitae Dipl.-Ing. Thilo S
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