Time dependence, chaos, and coherence in broad-band triplet interaction

Oliveira, G. I. de; Frichembruder, Marcos; Rizzato, Felipe Barbedo

doi:10.1016/s0167-2789(02)00359-7

Cited by 4 publications

(3 citation statements)

References 15 publications

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“…The regular behavior could be destroyed if we allowed the system to have sufficiently high intensities for the waves and a frequency mismatch X 6 ¼ 0, where X ¼ x 1 À x 2 À x p ( x p or if we included an extra mode in the system. 4,5,7,17 In the present analysis, we always consider the perfectly matched case with…”

Section: Three Wave Interactionmentioning

confidence: 99%

“…In the analysis of a single triplet of waves, the interaction between the waves takes place when resonant conditions are established, i.e., the waves must satisfy frequency and wavelength matching conditions. This implies a relation like [1][2][3][4][5][6][7][8] If the interaction parameter which is proportional to the plasma frequency is small enough, then the evolution of the envelope of the waves is well described by the modulational approximation-the dynamics of the envelope is regular and periodic. 9 Thus, the waves exchange energy, varying their amplitudes slowly, in a way that the total energy of the system is conserved, as seen in Ref.…”

Section: Introductionmentioning

confidence: 99%

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Triplet and beam interaction in a plasma

et al. 2017

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The interaction of three waves requires wavelength and frequency matching conditions. Without the presence of a particle beam, if the conditions are satisfied and if the frequency of the envelope is lower than the lowest frequency of the waves, they exchange energy and the evolution of the envelope of each wave is given by a constant plus a sinusoidal function. On the other hand, if a particle beam propagates within electrostatic and electromagnetic fields with no wavelength and frequency match, the energy exchange between the modes is done due to the particles. One of the modes could be amplified in this scheme. In the present work, we propose a model where a nonrelativistic particle beam propagates in a plasma within two electromagnetic modes and one electrostatic mode with wavelength and frequency matching conditions. Then, the waves are allowed to exchange energy between themselves and with the particle beam as well. We present new features in comparison to the isolated triplet interaction and to the beam-wave interaction. These features are relevant for a more realistic triplet interaction model.

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Section: Three Wave Interactionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Triplet and beam interaction in a plasma

et al. 2017

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“…The study of a conservative system formed by three waves interacting with themselves was the subject of many works. [1][2][3][4][5][6][7][8][9][10][11][12] The interaction takes place, according to the wave triplet concept, when resonant conditions are met: there must be frequency and wavelength matching conditions (the sum or difference of the frequency/wavelength of two waves is equal to the frequency/wavelength of the third wave).…”

Section: Introductionmentioning

confidence: 99%

Thermal effects in a triplet and beam interaction in a plasma

et al. 2019

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The dynamics of three interacting waves fulfilling the frequency and wavenumber matching conditions can be dramatically modified if a charged particle beam is added to the system. Energy is exchanged not only among the waves but also between the particles of the beam and the waves. In the present work, a model that includes these interactions is revisited, allowing a more realistic case where the beam has an initial velocity distribution. This study aims to present the role of this thermal effect over the system at the beginning of the dynamics and after the breakdown of the laminar regime of the particle beam.

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