Electromagnetic Wave Propagation in a Dispersive Periodic Medium

Electromagnetic Wave Propagation in a Dispersive Periodic Medium PDF 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).

Electromagnetic Wave Propagation in a Dispersive Periodic Medium

Electromagnetic Wave Propagation in a Dispersive Periodic Medium PDF 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).

Electromagnetic Wave Propagation in Dispersive, Periodic Medium

Electromagnetic Wave Propagation in Dispersive, Periodic Medium PDF Author: James Russell Matthes (MAJ, USAF.)
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 71

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Book Description


Methods of Wave Theory in Dispersive Media

Methods of Wave Theory in Dispersive Media PDF 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

On "Pulsed Electromagnetic Wave Propagation in Dispersive Media"

On Author: C. T. Case
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 8

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Book Description


Wave Propagation in Linear and Nonlinear Periodic Media

Wave Propagation in Linear and Nonlinear Periodic Media PDF Author: Francesco Romeo
Publisher: Springer Science & Business Media
ISBN: 3709113091
Category : Technology & Engineering
Languages : en
Pages : 332

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Book Description
Waves and defect modes in structures media.- Piezoelectric superlattices and shunted periodic arrays as tunable periodic structures and metamaterials.- Topology optimization.- Map-based approaches for periodic structures.- Methodologies for nonlinear periodic media.​ The contributions in this volume present both the theoretical background and an overview of the state-of-the art in wave propagation in linear and nonlinear periodic media in a consistent format. They combine the material issued from a variety of engineering applications, spanning a wide range of length scale, characterized by structures and materials, both man-made and naturally occurring, featuring geometry, micro-structural and/or materials properties that vary periodically in space, including periodically stiffened plates, shells and beam-like as well as bladed disc assemblies, phononic metamaterials, photonic crystals and ordered granular media. Along with linear models and applications, analytical methodologies for analyzing and exploiting complex dynamical phenomena arising in nonlinear periodic systems are also presented.​

Electromagnetic Wave Theory

Electromagnetic Wave Theory PDF Author: J. C. Brown
Publisher: Elsevier
ISBN: 1483185923
Category : Science
Languages : en
Pages : 566

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Book Description
Electromagnetic Wave Theory, Part 2 contains the proceedings of a Symposium on Electromagnetic Wave Theory held at Delft, The Netherlands in September 1965. The symposium provided a forum for discussing electromagnetic wave theory and tackled a wide range of topics, from propagation in nonlinear media to electromagnetic wave propagation and amplification in solid-state plasmas. Electromagnetic waves in nonlinear transmission lines with active parameters are also considered, along with the phase dependence of maser active material Q-factor on pump intensity and frequency. Comprised of four sections, this volume begins with an analysis of two modes of propagation that are coupled through parametric modulation in nonlinear media. The discussion then turns to symmetry restrictions in nonlinear, non-absorbing, non-dispersive media; nonlinear interaction between two beams of plane electromagnetic waves in an anisotropic medium; radiation in periodically non-stationary media; and electromagnetic wave propagation in time-varying media. Subsequent chapters explore the diffraction of electromagnetic waves by plasma structures; resonant electromagnetic scattering from gyrotropic plasmas; scattering and transmission of electromagnetic waves at a statistically rough boundary between two dielectric media; and developments in wavefront reconstruction. This book will be useful for students, practitioners, and researchers in physics.

Wave Propagation in a Dispersive Medium

Wave Propagation in a Dispersive Medium PDF 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).

Electromagnetic Wave Propagation in Media of Periodically Time-varying Permittivity

Electromagnetic Wave Propagation in Media of Periodically Time-varying Permittivity PDF Author: Dieter Ernst Holberg
Publisher:
ISBN:
Category : Electromagnetic waves
Languages : en
Pages : 162

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Book Description


Electric Wave Propagation in Periodic Media

Electric Wave Propagation in Periodic Media PDF Author: Felix J. GOLLUCCI
Publisher:
ISBN:
Category :
Languages : en
Pages : 44

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Book Description
Wave propagation and frequency dispersion characteristics are investigated for electromagnetic wave propagation in a periodic medium. The permittivity is square wave stratified about an average value along a single coordinate. The propagation characteristics for TE waves are studied through an analysis of the Hill differential equation. Transmission characteristics and an omega-beta diagram are derived from a stability chart typical in the study of a Hill equation. Experimental verification of predicted stop bands is accomplished with a standard laboratory microwave transmission system while the omega-beta diagram is experimentally verified by the well-known resonant cavity technique. (Author).

Electromagnetics of Time Varying Complex Media

Electromagnetics of Time Varying Complex Media PDF Author: Dikshitulu K. Kalluri
Publisher: CRC Press
ISBN: 9780849325229
Category : Technology & Engineering
Languages : en
Pages : 320

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Book Description
Recent advances in the fields of materials science and electromagnetics indicate that materials can be synthesized with any desired electromagnetic properties. Electromagnetics of Complex Media provides the appropriate understanding of optimum properties for a given application, addressing the needs of researchers who study electromagnetics as a base for those disciplines using complex materials. Examples include electrooptics, plasma science and engineering, microwave engineering, and solid state devices.The book emphasizes these aspects: Dispersive medium Tunneling of power through a plasma slab by evanescent waves Characteristic waves in an anisotropic medium Transient medium and frequency shifting Green's function for unlike anisotropic media Perturbation technique for unlike anisotropic media Adiabatic analysis for modified source wave All of the above topics use one-dimensional models. Brief discussions also include chiral media, surface waves, and periodic media. The text focuses on bringing out the major effects due to each kind of complexity in the medium properties. A plasma column in the presence of a static magnetic field is at once dispersive, anisotropic, and inhomogeneous - thus the author uses plasma as the basic medium to illustrate some aspects of the transformation of an electromagnetic wave by a complex medium. Early chapters use a mathematical model that usually has one kind of complexity. The medium is often assumed to be unbounded in space or has a simple plane boundary. The field variables and the parameters are often assumed to vary in one spatial coordinate. This eliminates the use of heavy mathematics and permits the focus to be on the effect. Electromagnetics of Complex Media aims to stimulate experimental and additional theoretical and numerical work on the effects that can be obtained by the temporal and spatial modification of the magnetoplasma parameters. The book also provides the new researcher with a quick primer into the theory of using magnetoplasmas for the coherent generation of tunable radiation.