Efficient Multiscale Algorithms for Modeling Coherent Synchrotron Radiation

In the beam transport and manipulation systems of accelerator-based light sources at DOE user facilities, phenomena such as coherent synchrotron radiation (CSR) and CSR-driven micro-bunching instability can cause a rapid and irreversible degradation of electron beam quality. For that reason, there is a need for faster and more accurate CSR modeling algorithms that can be used in designing next-generation light sources, as well as in exploring upgrade options for existing light sources. Straightforward approaches to computing the CSR wake fields in 2D and 3D, at the level of resolution needed in practice, is prohibitively expensive in terms of computational time and memory requirements. As a result, currently-available beam dynamics codes rely on algorithms that are based on simplified models that fail to resolve the essential physics in many cases of practical importance. This project will develop fast and accurate numerical tools for modeling coherent synchrotron radiation, relevant to the design, optimization, and commissioning of DOE accelerator facilities. The approach, which will be based on recent developments in harmonic and numerical analysis and on computational linear algebra, will simultaneously address the extreme speed and the memory requirements of high-accuracy numerical CSR wake field computations. Commercial Applications and other Benefits as described by the awardee An ability to use fast, high-fidelity CSR algorithms in the search for optimal technical solutions should have a direct impact on the design of accelerator-based light sources, translating into reduced cost and increased performance. The CSR modeling tools should save significant time and cost for both DOE-funded research facilities and for applications such as the Navy megawatt-class FEL program