Temporal and spatial evolution of electron bunching in a one-dimensional pulse

• Published in: Optics communications Vol. 281; no. 14; pp. 3771 - 3775
• Main Authors: Rezvani Jalal, M., Aghamir, F.M.
• Format: Journal Article
• Language: English
• Published: Amsterdam Elsevier B.V 15.07.2008; Elsevier Science
• Subjects: Charged-particle beams; Electromagnetism; electron and ion optics; Electron and positron beams; Exact sciences and technology; Free-electron lasers; Fundamental areas of phenomenology (including applications); Generalized bunching parameter; Physics; Radiation by moving charges; Shot noise microbunching; Two-parameter Poisson distribution; Shot noise microbunching; Generalized bunching parameter; Two-parameter Poisson distribution; Free electron lasers; Wigglers; Shot noise; Poisson distribution; Bunching
• ISSN: 0030-4018; 1873-0310
• DOI: 10.1016/j.optcom.2008.03.044

A generalized form of bunching parameter for a one-dimensional electron pulse is defined and the formula is simplified into a symmetric form by considering completely elastic one-dimensional collisions. Using a two-parameter Poisson distribution, for electrons arrival times at the undulator beginning and for their initial positions within the pulse, the temporal and spatial evolution of mean value of bunching parameter are evaluated. For the special case, where the distribution parameters, t and x, are set to zero the generalized bunching parameter is reduced to the similar form used in previous free electron laser studies.