.. title:: Talk: Fast Derivatives for Beam Optics

.. only:: html

Advancements in Fast Derivatives for Beam Optics
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Speaker: Bernardo Abreu Figueiredo, RWTH Aachen

Abstract
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As particle accelerators grow larger and more complex, efficient derivative
computation remains central to Accelerator Physics. Whether designing optics for
a new machine or analysing an existing one, derivatives play a key role. This is
not only the case when calculating the Jacobian for a continuous multi-
dimensional optimization problem, but also when computing the objective function
itself, which depends on derivatives. Furthermore, higher-order derivatives are
necessary to calculate physical quantities of interest, such as chromaticities.
This contribution presents the integration of the Generalized Truncated Power
Series Algebra (GTPSA) library from MAD-NG into the Xsuite package, in which the
accelerator's transfer map and its derivatives with respect to user-defined
variables are obtained from a tracking pass, and optics functions and Jacobians
can be read directly from the resulting map. This approach is compared with an
in-house implementation based on JAX, with respect to performance and
maintainability.