Parametric coupling between transverse electromagnetic and longitudinal electron waves

Sjolund, A.; Stenflo, L.

doi:10.1016/0031-8914(67)90128-0

Cited by 27 publications

(6 citation statements)

References 4 publications

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“…Furthermore, for a = 0, b = 0 and c 0T 1T = 0, a L and a T take the form derived by Sjolund & Stenflo (1967) and are similar to the result of Montgomery (1965).…”

Section: Nonlinear Coupling Of Three Longitudinal and Two Transverse supporting

confidence: 69%

“…The present paper deals with some aspects of the nonlinear wave-wave interaction of three longitudinal and two transverse waves in streaming non-uniform hot plasma with uniform spatial gradient of the stream velocity. In this derivation, generalization of previous contributions (Sjolund & Stenflo 1967;Pramanik 1979) has been made, namely, (i) nonlinear interaction of three longitudinal waves, (ii) nonlinear interaction of one longitudinal and two transverse waves.…”

Section: Remarksmentioning

confidence: 88%

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Nonlinear coupling of five waves in non-uniform streaming plasma

Pramanik¹

1980

J. Plasma Phys.

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In this paper, nonlinear interaction of five monochromatic waves in a hot nonuniform streaming electron plasma has been presented. The method of formulation of the problem is based on the coupled mode theory. The wave–wave interaction phenomena have been analysed in the case of three longitudinal and two transverse waves. Furthermore, the presence of a stream velocity and its uniform gradient offers a generalization of the nonlinear interaction of an earlier work.

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“…Furthermore, for a = 0, b = 0 and c 0T 1T = 0, a L and a T take the form derived by Sjolund & Stenflo (1967) and are similar to the result of Montgomery (1965).…”

Section: Nonlinear Coupling Of Three Longitudinal and Two Transverse supporting

confidence: 69%

Section: Remarksmentioning

confidence: 88%

Nonlinear coupling of five waves in non-uniform streaming plasma

Pramanik¹

1980

J. Plasma Phys.

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“…(i) In LLS, previous results for the coupling coefficient (e.g. Larsson & Stenflo 1973;Giles 1974;Watson & Bers 1975;Pustovalov & Silin 1975;Kaufman & Stenflo 1979) were generalized in a straightforward way (although the required algebra was very lengthy) by means of the normal mode approach (Sjolund & Stenflo 1967;Weiland & Wilhelmsson 1977). In the present paper the problem is treated in a quite different way by taking the kinetic results in Larsson (1979) as starting point.…”

Section: Three-wave Interactionmentioning

confidence: 99%

Nonlinear wave interactions in a collisionless space and time dependent warm fluid plasma

Larsson

1982

J. Plasma Phys.

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Expressions for the current response operators of first and second order are calculated for a fluid plasma with isotropic pressure terms. The unperturbed state is an arbitrary space and time dependent solution of the basic equations. The response operators are given in a form which shows explicitly the mathematical structure behind the approximate conservation of wave energy in resonant wave interactions. The coefficients in the coupled mode equations are expressed in terms of these response operators.

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“…where all nonlinear terms up to second order have been written on the righthand side. We shall here use the normal mode analysis (Sjolund & Stenflo 1967;Larsson & Stenflo 1973;Weiland & Wilhelmsson 1977) to derive the coupling coefficient F. Let us thus consider the nonlinear interaction between three waves, denoted by indices 1, 2*and 3, which satisfy the resonance condition = w 3 .…”

Section: Appendix Bmentioning

confidence: 99%