Wave Propagation in Linear Media | re-examined

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Bibliography [44] George C. Sherman and Kurt Edmund Oughstun. Description of Pulse Dynamics in Lorentz Media in Terms of the Energy Velocity and Attenuation of Time-Harmonic Waves. Physical Review Letters, 47(20):1451{1454, 1981. [45] Kurt Edmund Oughstun and Shioupyn Shen. Velocity of energy transport for a timeharmonic eld in a multiple-resonance Lorentz medium. J. Opt. Soc. Am. B, 5(11):2395{ 2398, 1988. [46] George C. Sherman and Kurt Edmund Oughstun. Energy-velocity description of pulse propagation in absorbing, dispersive dielectrics. J. Opt. Soc. Am. B, 12(2):229{247, 1995. [47] L. C. Baird. Moments of a Wave Packet. American Journal of Physics, 40:327{329, 1972. [48] Dan G. Anderson and Jan I. H. Askne. Wave Packets in Strongly Dispersive Media. Proceedings of the IEEE, 62(11):1518{1523, 1974. [49] D. Anderson, J. Askne, and M. Lisak. Wave packets in an absorptive and strongly dispersive medium. Physical Review A, 12(4):1546{1552, 1975. [50] S. C. Bloch. Eighth velocity of light. American Journal of Physics, 45(6):538{549, 1977. [51] Not only is this a remarkable anticipation of data transmission at the speed of light(ning), it is even more astonishing in that it was written long before the existence of electromagnetic waves was proved by Hertz in 1886. Stifter was, however, very well aware of electromagnetism, and there are many passages in his oeuvre that underline this interest [150]. Note also the subtle description in this citation of what makes up our contemporary `global village'. [52] Milton A. Rothman. Things that go faster than light. Scienti c American, pages 142{152, July 1960. [53] A. Enders and G. Nimtz. Evanescent-mode propagation and quantum tunneling. Physical Review E, 48(1):632{634, 1993. [54] A. Enders and G. Nimtz. Photonic-tunneling experiments. Physical Review B, 47(15):9605{9609, 1993. [55] A. Ranfagni, D. Mugnai, P. Fabeni, and G. P. Pazzi. Optical-tunneling time measures: a microwave model. Physica B, 175:283{286, 1991. [56] G. Nimtz. Instantanes Tunneln. Phys. Bl., 49(12):1119{1120, 1993. [57] P. Thoma and T. Weiland. Wie real ist das Instantane Tunneln? Phys. Bl., 50(4):313, 360{361, 1994. [58] A. M. Steinberg, P. G. Kwiat, and R. Y. Chiao. Measurement of the Single-Photon Tunneling Time. Physical Review Letters, 71(5):708{711, 1993. 240
Bibliography [59] Ch. Spielmann, R. Szipocs, A. Stingl, and F. Krausz. Tunneling of Optical Pulses through Photonic Band Gaps. Physical Review Letters, 73(17):2308{2311, 1994. [60] A. Ranfagni, P. Fabeni, G. P. Pazzi, and D. Mugnai. Anomalous pulse delay in microwave propagation: A plausible connection to the tunneling time. Physical Review E, 48(2):1453{1460, 1993. [61] Th. Martin and R. Landauer. Time delay ofevanescent electromagnetic waves and the analogy to particle tunneling. Physical Review A, 45(4):2611{2617, 1992. [62] J. M. Deutch and F. E. Low. Barrier Penetration and Superluminal Velocity. Annals of Physics, 228:184{202, 1993. [63] Klaus Hass and Paul Busch. Causality of superluminal barrier traversal. Physics Letters A, 185:9{13, 1994. [64] Mark Ya. Azbel'. Superluminal Velocity, Tunneling Traversal Time and Causality. Solid State Communications, 91(6):439{441, 1994. [65] Thorsten Emig. Propagation of an electromagnetic pulse through a waveguide with a barrier: A time domain solution within classical electrodynamics. Physical Review E, 54(5):5780{5787, 1993. [66] Eric L. Bolda, Raymond Y. Chiao, and John C. Garrison. Two theorems for the group velocity in dispersive media. Physical Review A, 48(5):3890{3893, 1993. [67] John S. Toll. Causality and the Dispersion Relation: Logical Foundations. Physical Review, 104(6):1760{1770, 1956. [68] Aephraim M. Steinberg. Comment on \Photonic tunneling times". J. Phys. I France, 4:1813{1816, 1994. [69] Raymond Y. Chiao, Paul G. Kwiat, and Aephraim Steinberg. Faster Than Light? Scienti c American, pages 52{60, August 1993. [70] Rolf Landauer. Light faster than light? Nature, 365:692{693, 1993. [71] Gunter Nimtz and Winfried Heitmann. Superluminal Photonic Tunneling and Quantum Electronics. Progress in Quantum Electronics, 21(2):81{108, 1997. [72] Gunter Nimtz. Schneller als das Licht? Physik in unserer Zeit, 28(5):214{218, 1997. [73] Raymond Y. Chiao. Superluminal (but causal) propagation of wave packets in transparent media with inverted atomic populations. Physical Review A, 48(1):R34{R37, 1993. [74] Eric L. Bolda, John C. Garrison, and Raymond Y. Chiao. Optical pulse propagation at negative group velocities due to a nearby gain line. Physical Review A, 49(4):2938{2947, 1994. 241
Page 1 and 2:
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
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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: Bibliography [29] Kurt Edmund Oughs
Page 259 and 260: Bibliography [91] C. R. Leavens and
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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