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Author: Sir Thomas Havelock
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 100
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Book Description
The present tract deals with the manner in which a limited initial disturbance spreads out into a dispersive medium and with allied problems - p. 1.
Author: Sir Thomas Havelock
Publisher:
ISBN:
Category : Mathematical physics
Languages : en
Pages : 100
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Book Description
The present tract deals with the manner in which a limited initial disturbance spreads out into a dispersive medium and with allied problems - p. 1.
Author: Léon Brillouin
Publisher: Academic Press
ISBN: 1483276015
Category : Science
Languages : en
Pages : 167
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Book Description
Wave Propagation and Group Velocity contains papers on group velocity which were published during the First World War and are missing in many libraries. It introduces three different definitions of velocities: the group velocity of Lord Rayleigh, the signal velocity of Sommerfeld, and the velocity of energy transfer, which yields the rate of energy flow through a continuous wave and is strongly related to the characteristic impedance. These three velocities are identical for nonabsorbing media, but they differ considerably in an absorption band. Some examples are discussed in the last chapter dealing with guided waves, and many other cases of application of these definitions are quoted. These problems have come again into the foreground, in connection with the propagation of radio signals and radar. Reflection in the Heaviside layers requires a real knowledge of all these different definitions. Group velocity also plays a very important role in wave mechanics and corresponds to the speed of a particle. The present book should be very useful to physicists and radio engineers and should give them a good basis for new discussions and applications.
Author: Paul R. McIsaac
Publisher:
ISBN:
Category :
Languages : en
Pages : 112
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Book Description
The report examines the consequences of temperal and spatial dispersion for the power flow and boundary conditions for electromagnetic wave propagation in dispersive media. The theory is applied to propagation in electron streams and in ferrites. (Author).
Author: James R. Matthes
Publisher:
ISBN:
Category :
Languages : en
Pages : 82
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Book Description
Propagation of electromagnetic waves in a cold, collisionless, isotropic plasma with a sinusoidally stratified electron density is investigated. The Hill determinant method is used to obtain the field solutions and dispersion characteristics of TE and TM waves in the dispersive medium. Geometries considered are an infinite medium and a waveguide filled longitudinally with the inhomogeneous plasma. Numerical computations are made to show the dispersion characteristics in detail for arbitrarily chosen values of the plasma electron density. The effects resulting from collisions on the dispersion characteristics are also considered for TE waves in a waveguide. In a comparison of TE and TM propagation characteristics in the lossless medium it is shown that for low frequencies the dispersion relations differ significantly and for high frequencies the dispersion relations converge. (Author).
Author: Mikhail Viktorovich Kuzelev
Publisher: World Scientific
ISBN: 981426170X
Category : Science
Languages : en
Pages : 271
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Book Description
Ch. 1. Linear harmonic waves in dispersive systems. Initial-value problem and problem with an external source. 1. Harmonic waves in dispersive systems. 2. Initial-value problem. Eigenmode method. 3. Characteristic function of the state vector. Dispersion operator. 4. Laplace transform method -- ch. 2. A case study of linear waves in dispersive media. 5. Transverse electromagnetic waves in an isotropic dielectric. 6. Longitudinal electrostatic waves in a cold isotropic plasma. Collisional dissipation of plasma waves. 7. Transverse electromagnetic waves in a cold isotropic plasma. Dissipation of transverse waves in a plasma. 8. Electromagnetic waves in metals. 9. Electromagnetic waves in a waveguide with an isotropic dielectric. 10. Longitudinal waves in a hot isotropic plasma. Electron diffusion in a plasma. 11. Longitudinal waves in an isotropic degenerate plasma. Waves in a quantum plasma. 12. Ion acoustic waves in a nonisothermal plasma. Ambipolar diffusion. 13. Electromagnetic waves in a waveguide with an anisotropic plasma in a strong external magnetic field. 14. Electromagnetic waves propagating in a magnetized electron plasma along a magnetic field. 15. Electrostatic waves propagating in a magnetized electron plasma at an angle to a magnetic field. 16. Magnetohydrodynamic waves in a conducting fluid. 17. Acoustic waves in crystals. 18. Longitudinal electrostatic waves in a one-dimensional electron beam. 19. Beam instability in a plasma. 20. Instability of a current-carrying plasma -- ch. 3. Linear waves in coupled media. Slow amplitude method. 21. Coupled oscillator representation and slow amplitude method. 22. Beam-plasma system in the coupled oscillator representation. 23. Basic equations of microwave electronics. 24. Resonant Buneman instability in a current-carrying plasma in the coupled oscillator representation. 25. Dispersion function and wave absorption in dissipative systems. 26. Some effects in the interaction between waves in coupled systems. 27. Waves and their interaction in periodic structures -- ch. 4. Nonharmonic waves in dispersive media. 28. General solution to the initial-value problem. 29. Quasi-harmonic approximation. Group velocity. 30. Pulse spreading in equilibrium dispersive media. 31. Stationary-phase method. 32. Some problems for wave equations with a source -- ch. 5. Nonharmonic waves in nonequilibrium media. 33. Pulse propagation in nonequilibrium media. 34. Stationary-phase method for complex frequencies. 35. Quasi-harmonic approximation in the theory of interaction of electron beams with slowing-down media -- ch. 6. Theory of instabilities. 36. Convective and absolute instabilities. First criterion for the type of instability. 37. Saddle-point method. Second criterion for the type of instability. 38. Third Criterion for the type of instability. 39. Type of beam instability in the interaction with a slowed wave of zero group velocity in a medium. 40. Calculation of the Green's functions of unstable systems -- ch. 7. Hamiltonian method in the theory of electromagnetic radiation in dispersive media. 41. Equations for the excitation of transverse electromagnetic field oscillators. 42. Dipole radiation. 43. Radiation from a moving dipole - undulator radiation. 44. Cyclotron radiation. 45. Cherenkov effect. Anomalous and normal doppler effects. 46. Application of the Hamiltonian method to the problem of the excitation of longitudinal waves
Author: D. B. Trizna
Publisher:
ISBN:
Category : Dielectrics
Languages : en
Pages : 68
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Author: C. T. Case
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 8
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Author: Edgar A. Flores Parra
Publisher:
ISBN:
Category :
Languages : en
Pages :
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Author: Jeong-Han Kim
Publisher:
ISBN:
Category :
Languages : en
Pages : 122
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Author: Edgar Flores Parra
Publisher:
ISBN:
Category :
Languages : en
Pages :
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