This is the first of two courses, introducing particle accelerators from a theoretical point of view and covers state-of-the-art modelling techniques.

Synchrotrons and free electron lasers produce powerful X-rays, pivotal for modern scientific research. This lecture explores the principles of synchrotron radiation, its properties, and impact on beam dynamics, along with diverse applications in materials science, biology, and chemistry, as well as future advancements in the field.