Localized Coherent Structures and Patterns Formation in Collective Models of Beam Motion

Nonlinear Localized Coherent Spectrum of Beam-Beam Interactions

We consider modeling for strong-strong beam-beam interactions beyond preceding linearized/perturbative methods such as soft gaussian approximation or FMM (HFMM) etc. In our approach discrete coherent modes, discovered before, and possible incoherent oscillations appear as a result of multiresolution/multiscale fast convergent decomposition in the bases of high-localized exact nonlinear modes represented by wavelets or wavelet packets functions. The constructed solutions represent the full multiscale spectrum in all internal hidden scales from slow to fast oscillating eigenmodes. Underlying var…

From Localization to Stochastics in BBGKY Collective Dynamics

Fast and efficient numerical-analytical approach is proposed for modeling complex collective behaviour in accelerator/plasma physics models based on BBGKY hierarchy of kinetic equations. Our calculations are based on variational and multiresolution approaches in the bases of polynomial tensor algebras of generalized coherent states/wavelets. We construct the representation for hierarchy of reduced distribution functions via the multiscale decomposition in high-localized eigenmodes. Numerical modeling shows the creation of different internal coherent structures from localized modes, which are r…

Space Charge Effects for Transverse Collective Instabilities in Circular Machines

A brief historical review is presented of progressing understanding of transverse coherent instabilities of charged particles beams in circular machines when both Coulomb and wake fields are important. The paper relates to a talk given at ICFA Workshop on Mitigation of Coherent Beam Instabilities in Particle Accelerators, 23-27 September 2019 in Zermatt, Switzerland.

相对论电子束中激光拍频注入的太赫兹微聚束相干集体放大

Coherent collective amplification of terahertz microbunching seeded by laser frequency beating in relativistic electron beams

针对自由电子激光太赫兹源，建立非线性模型描述拍频激光加热器注入的微聚束集体演化，揭示短波长双峰机制并优化压缩分配，实现高效可预测的微聚束调控。

Quantum mechanics of radiofrequency-driven coherent beam oscillations in storage rings

Precision searches for the electric dipole moment of protons in storage ring experiments call for beam-position monitoring in the picometer range. We present the relevant fully quantum mechanical derivation of radiofrequency-driven collective oscillations of a beam in a storage ring.