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Author: Sir Thomas Havelock Publisher: ISBN: Category : Mathematical physics Languages : en Pages : 100
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
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
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
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
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: 9814261696 Category : Science Languages : en Pages : 271
Book Description
This book presents the main mathematical methods of description and general problems in the theory of linear waves in dispersive systems and media, including equilibrium and nonequilibrium waves. To show how the general theory can be applied in practice, the authors give a unified description of the waves in all important physical systems which are traditionally studied in the mechanics of continuous media, electrodynamics, plasma physics, electronics and physical kinetics. Consideration is also given to the interaction of waves in coupled systems, the propagation and evolution of localized wave perturbations, and the emission of waves from dispersive media under the action of external sources moving in a prescribed manner. A general theory of instabilities of linear systems is given, in which the criteria for absolute and convective instabilities are formulated and compared, and Green's functions for some nonequilibrium media are calculated. Special attention is paid to problems in the theory of linear electromagnetic waves in plasmas and plasma-like media. The book also contains a number of original results of the present-day wave theory that have thus far been published in scientific journals only.
Author: Sir Thomas Havelock
Author: Sir Thomas Havelock
Author: Léon Brillouin
Author: Paul R. McIsaac
Author: James R. Matthes
Author: Mikhail Viktorovich Kuzelev
Author: D. B. Trizna
Author: C. T. Case
Author: Edgar A. Flores Parra
Author: Jeong-Han Kim
Author: Edgar Flores Parra