Optimization of Flat to Round Transformers with Self-fields using Adjoint Techniques
Abstract
A continuous system of moment equations is introduced that models the transverse dynamics of a beam of charged particles as it passes through an arbitrary lattice of quadrupoles and solenoids in the presence of self-fields. Then, figures of merit are introduced specifying system characteristics to be optimized. The resulting model is used to optimize the parameters of the lattice elements of a flat to round transformer with self-fields, as could be applied in electron cooling. Results are shown for a case of no self-fields and two cases with self-fields. The optimization is based on a gradient descent algorithm in which the gradient is calculated using adjoint methods that prove to be very computationally efficient. Two figures of merit are studied and compared: one emphasizing radial force balance in the solenoid, the other emphasizing minimization of transverse beam energy in the solenoid.
Cite
@article{arxiv.2102.07016,
title = {Optimization of Flat to Round Transformers with Self-fields using Adjoint Techniques},
author = {L. Dovlatyan and B. L. Beaudoin and S. Bernal and I. Haber and D. Sutter and T. M. Antonsen},
journal= {arXiv preprint arXiv:2102.07016},
year = {2022}
}
Comments
18 pages, 8 figures, to be submitted to Physical Review Accelerators and Beams