# applied math seminar

### Event Description:

Title: Coherent Synchrotron Radiation Wake Fields with a Discontinuous Galerkin Method

Abstract:

Coherent synchrotron radiation (CSR) is an essential consideration in modern

accelerators, yet is often computationally difficult to accurately model. A common approach

used in simulating CSR effects uses the paraxial, or slowly-varying envelope approximation

with a simple constant cross-section approximation of the geometry. While these

approximations are often valid for the simulation of many accelerator components, it is

important to closely analyze the errors introduced by such approximations by comparing them

with wake field solutions obtained by full-wave electromagnetic field simulations. For this

application, the in-house code CSRDG (CSR with discontinous Galerkin) evolves Maxwell’s

equations the time domain after a curvilinear coordinate transformation and a Fourier series

decomposition in a transverse direction, is applied to a bunch compressor model.

### Event Contact

**Contact Name: **Jim Ellison