2006
DOI: 10.1063/1.2219740
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A specific property of electromagnetic waves interacting with dust-laden plasma

Abstract: The propagation pattern of electromagnetic waves (EMWs) in dusty plasmas is quite different from that in electron-ion plasmas. For instance, here the ponderomotive force acts on dust grains as a negative pressure, and a nonlinear Schrödinger equation with an additional nonlinear term is obtained. Based on this equation, the modulation instability is examined and it is shown that the growth rate becomes maximum when that additional term compensates the diffraction term. The main part of this work is devoted to … Show more

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Cited by 24 publications
(13 citation statements)
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“…To study the stability, we shall use in Eq. ͑25͒ the Madelung's representation of the complex amplitude of the circularly polarized electromagnetic wave, 30,31 = a͑,t͒e i͑,t͒ , where the amplitude a͑ , t͒ and the phase are real quantities. Substituting Eq.…”
Section: Modulational Instability Of the Schrödinger Equationmentioning
confidence: 99%
“…To study the stability, we shall use in Eq. ͑25͒ the Madelung's representation of the complex amplitude of the circularly polarized electromagnetic wave, 30,31 = a͑,t͒e i͑,t͒ , where the amplitude a͑ , t͒ and the phase are real quantities. Substituting Eq.…”
Section: Modulational Instability Of the Schrödinger Equationmentioning
confidence: 99%
“…is the sound speed in a relativistically hot pair plasma, σ = 4π 2 /45h 3 c 3 , andh is the Planck constant divided by 2π. A similar system has been previously derived for a cold plasma [24], and recently for a warm dust-laden plasma [25].…”
mentioning
confidence: 63%
“…This kind of instability has potential applications in non‐linear optics (lasers, self‐focusing, non‐linear radio waves, etc. ), hydrodynamics, electromagnetics, etc …”
Section: Introductionmentioning
confidence: 99%
“…), hydrodynamics, electromagnetics, etc. [33][34][35][36][37][38][39][40][41] ; that is why a large amount of work has been devoted to this.…”
mentioning
confidence: 99%