Transient signal propagation in lossless, isotropic plasmas (original) (raw)

Transient Signal Propagation in Lossless, Isotropic Plasmas. Volume 1

The concept of the wave packet is used to obtain some general results on the propagation of signals in dispersive media. The dispersion of a Gaussian carrier pulse and a square wave carrier pulse in an isotropic plasma is carried out using the wave packet concept. A general analysis of transient wave propagation in isotropic plasmias is given using Laplace transform methods. Solutions are given in terms of series solutions which may be expressed in terms of Lornmel functions. Integral solutions which can be ear.-ly evaluated numerically are derived using the convolution theorem arid using contour integration techniques. The solutions are useful for sk.ort dispervion lengths. Mir Illustrations 4. P:ilse Definition of Two Gaussian Pulses 5. Regions of Good Pulse Definition and No Pulse Definition 6. Propagation of a Sine Wave Electric Field in an Overdense Plasma 7. Envelope Response for the Propagation of a Sine Wave Electric Field with a Finite Rise Time 8. Propagation of a Step Function Electric Field in a Plasma 9. The Complex Frequency Plane 10. The Complex Frequency Plane for a Branch Cut from-ill to +inl 11. The Sign Distribution on Each Riemann Shee'. for the Branch Cut of Figure 10 12. The Contour for the Branch Cut in Figure 10 13. The Contour for Branch Cuts in the Left Half Frequency Plane 14. The Amplitude of the Transient Envelope 15. The Total Transient Solution Obtained by Integration Along the Branch Cuts 16. The Total Solution of a Propagating Sine Wave Electric Field vi Transient Signal Propagation in Lossless, Isotropic Plasmas Volume I s,.l,,t,'tel s4o thati nil st'r-urit'' cla-6ssifte-iti:1 Is, regquiet. tl. ~ldmti. O9t. OTIIERl REPORTl NIIMIERS). if tile report has beetn fir.st seopsn te isga ritrd'nemmii ass ipr. ,d any other reltcrti numbers (ether. c by rt'e mriginauttor lacty Intuir'.t toni' riamr', feogrueph in: loviithit, may Il.btin' k~epta or y he p~~or, ls !-ie ths umhr().k-'y worols% but will be fr1 lorwt'd iry an inI icat ion tof t c':miica I or 'v it'.rpaso). lsontr tis umier~). o;It'xt. Till' anisignes'ent-if links. rolt's, andl(weighti is I eopt ionn I. Unclassified S-'curitv Clai S i (caitl m i

Electromagnetic fields in an inhomogeneous plasma from obliquely incident transient plane waves

Radio Science, 1993

In this paper, transient fields inside gyrotropic media are studied by a time domain Green function technique based upon a wave-splitting method. The medium is stratified in one spatial direction and the incident field is a plane electromagnetic pulse of arbitrary waveform at oblique incidence. Green operators are introduced which map the incident field to the internal fields. The relation between the Green operators and the scattering operators used in the invariant imbedding method are discussed. By introducing a complementary medium, a reciprocity relation is derived from which useful relations for the Green oper.ators are obtained.

Phase-space description of plasma waves. Part 1. Linear theory

Journal of Plasma Physics, 1992

We develop an (r, k) phase-space description of waves in plasmas by introducing Gaussian window functions to separate short-scale oscillations from long-scale modulations of the wave fields and variations in the plasma parameters. To obtain a wave equation that unambiguously separates conservative dynamics from dissipation in an inhomogeneous and time-varying background plasma, we first discuss the proper form of the current response function. In analogy with the particle distribution function f(v, r, t), we introduce a wave density N(k, r, t) on phase space. This function is proved to satisfy a simple continuity equation. Dissipation is also included, and this allows us to describe the damping or growth of wave density along rays. Problems involving geometric optics of continuous media often appear simpler when viewed in phase space, since the flow of N in phase space is incompressible.

Propagation of sinusoidal pulse laser beam in a plasma channel

Physics of Plasmas, 2007

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Wave propagation and diff usive transition of oscillations in space and laboratory pair plasmas

Biuletyn Wojskowej Akademii Technicznej, 2009

In view of applications to electron-positron pair-plasmas and fullerene pair-ion-plasmas containing ions or charged dust impurities, a thorough discussion is given of three-component plasmas. Space-time responses of multi-component linearized Vlasov plasmas on the basis of multiple integral equations are invoked. An initial-value problem for Vlasov-Poisson/Ampere equations is reduced to the one multiple integral equation and the solution is expressed in terms of forcing function and its space-time convolution with the resolvent kernel. Th e forcing function is responsible for the initial disturbance and the resolvent is responsible for the equilibrium velocity distributions of plasma

Propagation of solitary waves and shock wavelength in the pair plasma

Journal of Plasma Physics, 2012

The propagation of electrostatic waves is studied in plasma system consisting of pair-ions and stationary additional ions in presence of the Sagdeev potential (pseudopotential) as function of electrostatic potential (pseudoparticle). It is remarked that both compressive and rarefective solitary waves can be propagated in this plasma system. These electrostatic solitary waves, however, cannot be propagated if the density of stationary ions increases from one critical value or decreases from another when the temperature and the Mach number are fixed. Also, when pseudoparticle is affected with a little dissipation of energy, it is trapped in potential well and can oscillate. Oscillations generate shock wave in the media, and in the negative minimal point of the well it is possible to compute numerically the shock wavelength for the allowed values of the plasma parameters.