Free electron laser single-particle dynamics theory
Download
Author
Gillingham, David R.
Date
1990-12Advisor
Colson, William B.
Second Reader
Maruyama, Xavier K.
Metadata
Show full item recordAbstract
A detailed exploration of free electron laser (FEL) theory has been done in two areas. An exact solution to the phase-space trajectories in a linearly-polarized undulator has been obtained using a numerical simulation. The complicated phase-space motion caused by transverse undulator deflections makes a rigorous derivation for trajectories difficult, if not impossible. The numerical solution extends the understanding of electron trajectories by quantitatively describing the fast and slow components of motion. The Bessel function coupling coefficient, describing the slow evolution is found to be valid over a broad range of parameters even though its derivation is approximate. A second program has been developed that provides a simple, quick diagnostic for accelerator designers to evaluate how well a simulated beam design will perform as an FEL. The effect of beam quality conditions like energy, angular, and positional spread are shown to depend only on the initial conditions of the beam at the entrance to the undulator. This program takes the six phase-space coordinates of the beam directly from an accelerator simulation code, like PARMELA, and predicts its performance in an FEL system. This method substitutes for more lengthy, complex integrated simulations, like INEX, that require a CRAY computer.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
Related items
Showing items related by title, author, creator and subject.
-
Optimization of low thrust trajectories with terminal aerocapture
Josselyn, Scott B. (Monterey, California. Naval Postgraduate School, 2003-06);This thesis explores using a direct pseudospectral method for the solution of optimal control problems with mixed dynamics. An easy to use MATLAB optimization package known as DIDO is used to obtain the solutions. The ... -
Bernstein Polynomial-Based Method for Solving Optimal Trajectory Generation Problems
Kielas-Jensen, Calvin; Cichella, Venanzio; Berry, Thomas; Kaminer, Isaac; Walton, Claire; Pascoal, Antonio (MDPI, 2020);This paper presents a method for the generation of trajectories for autonomous system operations. The proposed method is based on the use of Bernstein polynomial approximations to transcribe infinite dimensional optimization ... -
A Study of Constant Absolute Vorticity Trajectories on Isentropic Surfaces
Carlstead, Edward M. (1953-10);It is shown that constant absolute vorticity (CAV) trajectories are more useful on isentropic surfaces than on constant pressure surfaces. A form of the vorticity equation is derived by use of Lagrangian methods. This ...