Adiabatic warm-fluid equilibrium theory of thermal charged-particle beams in alternating-gradient focusing fields Export

@article{citeulike:4663497, abstract = {An adiabatic warm-fluid equilibrium theory for a thermal charged-particle beam in an alternating-gradient focusing field is presented. Warm-fluid equilibrium equations are solved in the paraxial approximation. The theory predicts that the four-dimensional rms thermal emittance of the beam is conserved, but the two-dimensional rms thermal emittances are not constant. The rms beam envelope equations and the self-consistent Poisson equation, governing the beam density and potential distributions, are derived. Although the presented rms beam envelope equations have the same form as the previously known rms beam envelope equations, the evolution of the rms emittances in the present theory is given by analytical expressions. The density does not have the simplest elliptical symmetry, but the constant-density contours are ellipses, and the aspect ratio of the elliptical constant-density contours decreases as the density decreases along the transverse displacement from the beam axis. For high-intensity beams, the beam density profile is flat in the center of the beam and falls off rapidly within a few Debye lengths, and the rate at which the density falls is approximately isotropic in the transverse directions.}, author = {Samokhvalova, Ksenia R. and Zhou, Jing and Chen, Chiping}, citeulike-article-id = {4663497}, citeulike-linkout-0 = {http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=PHPAEN000016000004043115000001&idtype=cvips&gifs=yes}, citeulike-linkout-1 = {http://link.aip.org/link/?PHP/16/043115}, citeulike-linkout-2 = {http://dx.doi.org/10.1063/1.3122936}, day = {29}, doi = {10.1063/1.3122936}, journal = {Physics of Plasmas}, keywords = {adiabatic, alternating-gradient, analytic, beam, charged, equilibrium, field, fluid, focusing, model, particle, warm}, month = {April}, number = {4}, pages = {043115+}, posted-at = {2009-05-28 09:16:08}, priority = {4}, publisher = {AIP}, title = {Adiabatic warm-fluid equilibrium theory of thermal charged-particle beams in alternating-gradient focusing fields}, url = {http://dx.doi.org/10.1063/1.3122936}, volume = {16}, year = {2009} }

TY - JOUR ID - citeulike:4663497 L3 - citeulike-article-id:4663497 N2 - An adiabatic warm-fluid equilibrium theory for a thermal charged-particle beam in an alternating-gradient focusing field is presented. Warm-fluid equilibrium equations are solved in the paraxial approximation. The theory predicts that the four-dimensional rms thermal emittance of the beam is conserved, but the two-dimensional rms thermal emittances are not constant. The rms beam envelope equations and the self-consistent Poisson equation, governing the beam density and potential distributions, are derived. Although the presented rms beam envelope equations have the same form as the previously known rms beam envelope equations, the evolution of the rms emittances in the present theory is given by analytical expressions. The density does not have the simplest elliptical symmetry, but the constant-density contours are ellipses, and the aspect ratio of the elliptical constant-density contours decreases as the density decreases along the transverse displacement from the beam axis. For high-intensity beams, the beam density profile is flat in the center of the beam and falls off rapidly within a few Debye lengths, and the rate at which the density falls is approximately isotropic in the transverse directions. IS - 4 JF - Physics of Plasmas TI - Adiabatic warm-fluid equilibrium theory of thermal charged-particle beams in alternating-gradient focusing fields PB - AIP VL - 16 SP - 043115 KW - adiabatic KW - alternating-gradient KW - analytic KW - beam KW - charged KW - equilibrium KW - field KW - fluid KW - focusing KW - model KW - particle KW - warm AU - Samokhvalova, Ksenia AU - Zhou, Jing AU - Chen, Chiping PY - 2009/04/29/ UR - http://dx.doi.org/10.1063/1.3122936 ER -