NONLINEAR PROPAGATION OF ELECTROMAGNETIC WAVES IN MAGNETOPLASMAS

1963 ◽  
Vol 41 (12) ◽  
pp. 2155-2165 ◽  
Author(s):  
Mahendra Singh Sodha ◽  
Carl J. Palumbo
Keyword(s):  
Magnetic Field ◽  
Wave Equation ◽  
Static Magnetic Field ◽  
Electromagnetic Waves ◽  
Second Order ◽  
Conductivity Tensor ◽  
Electric Vector ◽  
Nonlinear Propagation ◽  
Order Solution

In this communication the authors have derived an expression for the conductivity tensor of a Lorentzian plasma in the presence of a static magnetic field, which is correct to terms involving the square of the amplitude of the electric vector. This expression along with the wave equation has been used to obtain a second-order solution for the electric vector in the magnetoplasma. The phenomenon of demodulation of an amplitude-modulated wave has also been briefly discussed.

NONLINEAR PROPAGATION OF ELECTROMAGNETIC WAVES IN MAGNETOPLASMAS. II

1964 ◽  
Vol 42 (2) ◽  
pp. 349-363 ◽  
Author(s):  
Mahendra S. Sodha ◽  
Carl J. Palumbo
Keyword(s):  
Magnetic Field ◽  
Wave Equation ◽  
Electromagnetic Wave ◽  
Isotropic Medium ◽  
Electromagnetic Waves ◽  
Nonlinear Propagation ◽  
Complex Conductivity ◽  
Arbitrary Angle ◽  
Reflection And Refraction ◽  
The Magnetic Field

In this communication the authors have investigated the nonlinear propagation of an electromagnetic wave at an arbitrary angle to the direction of the magnetic field in a plasma. The authors have derived an expression for the complex conductivity tensor of a Lorentzian magnetoplasma, which is correct to terms involving the square of the amplitude of the electric vector. This expression, along with the wave equation, has been used to analyze two specific problems, viz. the propagation of an electromagnetic wave in an infinite magnetoplasma and reflection and refraction at the interface of a nonlinear magnetoplasma and a linear isotropic medium.

scholarly journals Lie transforms and motion of a charged particle in a periodic magnetic field

1984 ◽  
Vol 7 (1) ◽  
pp. 159-169
Author(s):  
Sikha Bhattacharyya ◽  
R. K. Roy Choudhury
Keyword(s):  
Magnetic Field ◽  
Charged Particle ◽  
Averaging Method ◽  
Second Order ◽  
Lie Series ◽  
Periodic Magnetic Field ◽  
First Order ◽  
Order Solution ◽  
Lie Transforms ◽  
Spatially Periodic

We use the Lie series averaging method to obtain a complete second order solution for motion of a charged particle in a spatially periodic magnetic field. A comparison is made with the first order solution obtained previously by Coffey.

A temperature-anisotropy instability for electromagnetic waves propagating across a static magnetic field

1970 ◽  
Vol 4 (1) ◽  
pp. 13-20 ◽  
Author(s):  
R. W. Landau ◽  
S. Cuperman
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Electromagnetic Waves ◽  
Maximal Rate ◽  
Temperature Anisotropy ◽  
Thermal Anisotropy ◽  
Rate Of Growth ◽  
Interplanetary Plasma ◽  
Set Up ◽  
Fire Hose

The instability of electromagnetic waves propagating across a static magnetic field in the presence of a thermal anisotropy (T∥ > T⊥) is investigated. The marginal stabifity criterion as well as the rate of growth of the instability are derived. When compared with the fire hose instability (of electromagnetic waves propagating along the static magnetic field) it is found that higher electron pressures are required for this new instability to be set up; however, the maximal rate of growth is much larger than in the fire hose case.The interplanetary plasma is stable to this thermal anisotropy instability; high β plasma devices may be unstable.The T⊥ = 0 case treated by Hamasaki is recovered.

Exact solutions for vertically polarized electromaǵnetic waves in a horizontally stratified maǵneto-plasma

1970 ◽  
Vol 67 (2) ◽  
pp. 491-501 ◽  
Author(s):  
B. S. Westcott
Keyword(s):  
Magnetic Field ◽  
Refractive Index ◽  
Wave Propagation ◽  
Exact Solutions ◽  
Radio Wave ◽  
Static Magnetic Field ◽  
Electromagnetic Waves ◽  
Anisotropic Media ◽  
Radio Wave Propagation ◽  
Isotropic Media

AbstractIn a previous paper (11) refractive index profiles capable of yielding exact solutions for vertically polarized electromagnetic waves propagating in horizontally stratified isotropic media were derived systematically. The present work extends the method to deal with anisotropic media in which propagation is transverse to a horizontally applied static magnetic field. The relevance to ELF radio wave propagation in the terrestrial ionosphere is noted.

Propagation of electromagnetic waves normal to a magnetic field in a uniform anisotropic Maxwellian plasma

1968 ◽  
Vol 2 (4) ◽  
pp. 591-595
Author(s):  
P. Stewart
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Waves ◽  
Uniform Magnetic Field ◽  
Hypergeometric Functions ◽  
Dispersion Relations ◽  
Second Order ◽  
Anisotropic Plasma ◽  
Maxwellian Plasma

Closed forms are found for the dispersion relations describing the propagation through a uniform anisotropic plasma of the three modes of electromagnetic waves whose wave vectors are perpendicular to a steady and uniform magnetic field. Such relations are found to be conveniently expressed in terms of hypergeometric functions of the second order.

ELECTROMAGNETIC WAVES IN A BOUNDED, ANISOTROPIC PLASMA

1962 ◽  
Vol 40 (7) ◽  
pp. 887-905 ◽  
Author(s):  
K. A. Graf ◽  
M. P. Bachynski
Keyword(s):  
Magnetic Field ◽  
Static Magnetic Field ◽  
Electromagnetic Waves ◽  
Plane Electromagnetic Wave ◽  
Plasma Boundary ◽  
Plasma Properties ◽  
Magnetic Field Data ◽  
Reflected Waves ◽  
Quartic Equation ◽  
The Magnetic Field

The interaction of a plane, electromagnetic wave with a flat, uniform free-space – plasma interface in a static magnetic field has been considered for arbitrary angles of incidence. The dispersion relation for the plasma is a complex quartic equation which reduces to a quadratic if the static magnetic field and plasma boundary are oriented along any one of the rectangular co-ordinate axes. (These axes need not simultaneously be the same for the plasma and the magnetic field.)Numerical results are presented for the attenuation and phase constants for each of the two possible waves in the plasma, for each orientation of the static magnetic field. Data are given for various angles of incidence, plasma properties, and orientations of the static magnetic field relative to the plasma boundary.Inspection of the fields in the plasma reveals some interesting aspects. In certain cases, waves which appear to move upward towards the plasma interface exist. Since these waves may carry energy into the plasma, they have been referred to as "backward" waves. Totally reflected waves which have both finite attenuation and finite phase coefficients can also exist in the plasma. These have been termed "modified Sommerfeld" waves.

Coupled forms of the differential equations governing radio propagation in the ionosphere. II

1957 ◽  
Vol 53 (3) ◽  
pp. 669-682 ◽  
Author(s):  
K. G. Budden ◽  
P. C. Clemmow
Keyword(s):  
Magnetic Field ◽  
Electromagnetic Waves ◽  
Second Order ◽  
Successive Approximations ◽  
Horizontal Magnetic Field ◽  
Numerical Work ◽  
First Order ◽  
Coupled Equations ◽  
Special Cases ◽  
Chief Interest

ABSTRACTThe four first-order ‘coupled’ equations governing the propagation of electromagnetic waves in the ionosphere, previously obtained in symbolic matrix form (Clemmow and Heading (4)), are expressed explicitly in terms of the ionospheric parameters. The physical significance of the equations is illustrated by considering the energy flux in one characteristic wave when coupling and damping are neglected. Three special cases are then discussed for which second-order coupled equations are also given, namely, the cases of (a) vertical incidence with oblique magnetic field, (b) oblique incidence with vertical magnetic field, (c) horizontal magnetic field in the plane of incidence. For case (a) the second-order equations are those previously derived by Försterling(5).The form of the coupled equations is physically illuminating and, in principle, suitable for solution by successive approximations. Extensive numerical work has indeed been carried out on the second-order coupled equations in case (a) (e.g. Gibbons and Nertney(6)), and it is probable that the first-order coupled equations would prove more advantageous. The present authors, however, feel that better methods are available for purely numerical work (e.g. Budden(3)), and that the chief interest of the coupled form is that it shows the scope and limitations of the physical conception of characteristic waves.

Second Order Solutions of THz Response of Gated Two-Dimensional Electron Gas in Magnetic Field

Frequenz ◽  
2018 ◽  
Vol 72 (9-10) ◽  
pp. 471-477 ◽  
Author(s):  
Daipeng Wang ◽  
Jiuxun Sun ◽  
Chao Yang ◽  
Yan Dong ◽  
Zhenlin Yan
Keyword(s):  
Magnetic Field ◽  
Electron Gas ◽  
Second Order ◽  
Two Dimensional ◽  
Dimensional Electron ◽  
Two Dimensional Electron Gas ◽  
First Order ◽  
Order Solution ◽  
Dimensional Electron Gas ◽  
Second Order Equations

Abstract In this work, the Lifshits-Dyakonov theory for THz response of gated two-dimensional electron gas in magnetic field are analyzed and improved. Instead an approximate processing method for the response in original theory to the second order solution, the second order equations are strictly solved. The numerical results show that both first and second order solutions are damped oscillating functions of coordinate, but all amplitudes would decrease as magnetic field B increasing except for the first order solution of voltage. The variation of second order response as a function of B also shows damped oscillating variations, the agreement with experimental curves is reasonable.

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