wave functions/ nonlinear longitudinal dynamicsparticle acceleratorsthermal wave modelrelativistic charged particle beam propagationnonlinear effectsBy using the recently proposed thermal wave model for relativistic charged particle beam propagation , a new approach for studying some nonlinear effects in ...
To determine whether the statement "Every particle in a longitudinal wave only vibrates about a fixed position. It does not move from its position with the wave" is true or false, we can analyze the characteristics of longitudinal waves step by step.<
where ki is the wave number, and it is assumed that the incoming radiation is contained in the i-th channel. In Eq. (2.9), the first term is responsible for the absorption of the i-th component of incoming momentum flux Pi, while the second term describes the emission of the absorbed...
Loess presents very unique collapsible behaviour due to its special under-compactness, weak cementation and porousness. Many environmental issues and geological hazards including subgrade subsidences, slope collapses or failures, building cracking and so
Second, we performed a simulation of 750 heartbeats using explicit methods such as in Fig.2b and compared the three hemodynamic metrics with the results obtained using LHMF. However, LHMF is not scalable in that capturing longer temporal domains would linearly scale in the number of HUs to sim...
Ventricular dimensions End diastolic volume (ml) End systolic volume (ml) Stroke volume (ml) Ejection fraction (%) Functional parameters E-wave velocity (cm s−1) A-wave velocity (cm s−1) e' velocity (cm s−1) E/A ratio E/e' ratio Control (n = 33) ...
Ventricular dimensions End diastolic volume (ml) End systolic volume (ml) Stroke volume (ml) Ejection fraction (%) Functional parameters E-wave velocity (cm s−1) A-wave velocity (cm s−1) e' velocity (cm s−1) E/A ratio E/e' ratio Control (n = 33) ...
It is shown that in a pull-phase-locked cavity, a Doppler-shifted radiation may be considered as a nonlinear system of time-like and space-like waves which lock to form the plane photo-like wave. In the particle picture, it may be interpreted as photon conversion into a system composed ...
On the basis of the recently proposed thermal wave model (TWM) for particle beams , we give a description of the longitudinal charge particle dynamics in circular accelerating machines by taking into account both radiation damping and quantum excitation (stochastic effect), in the presence of a ...
The method is based on the Lagrange equation for the longitudinal motion of a charged-particle bunch in the field of traveling wave; the solutions are the longitudinal size of a bunch and the width of the energy spectrum. The self-field of the bunch is taken into account in the equation ...