2017 ◽  
Vol 72 (7) ◽  
pp. 609-615 ◽  
Author(s):  
Yongkang Shi

AbstractGeneral line rogue waves in the Mel’nikov equation are derived via the Hirota bilinear method, which are given in terms of determinants whose matrix elements have plain algebraic expressions. It is shown that fundamental rogue waves are line rogue waves, which arise from the constant background with a line profile and then disappear into the constant background again. By means of the regulation of free parameters, two subclass of nonfundamental rogue waves are generated, which are called as multirogue waves and higher-order rogue waves. The multirogue waves consist of several fundamental line rogue waves, which arise from the constant background and then decay back to the constant background. The higher-order rogue waves start from a localised lump and retreat back to it. The dynamical behaviours of these line rogue waves are demonstrated by the density and the three-dimensional figures.


1992 ◽  
Vol 47 (2) ◽  
pp. 197-217 ◽  
Author(s):  
S. H. Kim

It is shown that the phase of the electromagnetic wave emitted through stimulated emission is intrinsically random. The insensitivity of the phase of the laser field to any disturbance in the laser cavity parameter derives from the fact that stimulated and spontaneous emissions take place concurrently at the same wave vector, the phases of spontaneous emission are mildly bunched, and the central limit theorem can be applied to the phase of the laser field. The two spectral lines observed in the Smith-Purcell free-electron laser experiment show that both classical and quantum-mechanical free-electron lasings, in which the wigglers behave as classical waves and wiggler quanta respectively, take place concurrently at different laser wavelengths in the case of the electric wiggler. It is shown that the coherence of the classical free-electron laser is achieved through modulation of the relativistic electron mass by the electric wiggler. The classical free-electron lasing is calculated using the quantum-augmented classical theory. In this, the probability of stimulated emission is first evaluated by interpreting the classically derived energy exchange between an electron and the laser field from a quantum-mechanical viewpoint. Then the laser gain is obtained from this probability by using a relationship between the two quantities derived by quantum kinetics. The wavelength of the fundamental line of classical free-electron lasing is twice the wavelength of the fundamental line of the free-electron two-quantum Stark emission, which is the quantum free-electron lasing in the electric wiggler. The gain of the classical free-electron lasing appears to scale as λ3w/γ3, where γ is the Lorentz factor of the electron beam and λw is the wavelength of the wiggler.


2002 ◽  
Vol 564 (2) ◽  
pp. L73-L76 ◽  
Author(s):  
Francisco Prada ◽  
Andreas Burkert
Keyword(s):  

2018 ◽  
Vol 863 (2) ◽  
pp. 117 ◽  
Author(s):  
Ruth A. Daly ◽  
Douglas A. Stout ◽  
Jeremy N. Mysliwiec
Keyword(s):  

Author(s):  
Charlotte Vastel ◽  
T.G Phillips ◽  
P Caselli ◽  
C Ceccarelli ◽  
L Pagani

Deuterium enhancement of monodeuterated species has been recognized for more than 30 years as a result of chemical fractionation that results from the difference in zero-point energies of deuterated and hydrogenated molecules. The key reaction is the deuteron exchange in the reaction between HD, the reservoir of deuterium in dark interstellar clouds, and the molecular ion, leading to the production of H 2 D + molecule, and the low temperature in dark interstellar clouds favours this production. Furthermore, the presence of multiply deuterated species have incited our group to proceed further and consider the subsequent reaction of H 2 D + with HD, leading to D 2 H + , which can further react with HD to produce . In pre-stellar cores, where CO was found to be depleted, this production should be increased as CO would normally destroy . The first model including D 2 H + and predicted that these molecules should be as abundant as H 2 D + . The first detection of the D 2 H + was made possible by the recent laboratory measurement for the frequency of the fundamental line of para -D 2 H + . Here, we present observations of H 2 D + and D 2 H + towards a sample of dark clouds and pre-stellar cores and show how the distribution of ortho -H 2 D + (1 1,0 –1 1,1 ) can trace the deuterium factory in pre-stellar cores. We also present how future instrumentation will improve our knowledge concerning the deuterium enhancement of .


2011 ◽  
Vol 734 (2) ◽  
pp. L31 ◽  
Author(s):  
Preethi Nair ◽  
Sidney van den Bergh ◽  
Roberto G. Abraham

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