A geometric theory of waves and its applications to plasma physics

Understand

Waves play an essential role in many aspects of plasma science, such as plasma manipulation and diagnostics.

• Due to the complexity of the governing equations, approximate models are often necessary to describe wave dynamics.
• In this dissertation, waves are treated as geometric objects of a variational theory rather than formal solutions of specific PDEs.
• This approach simplifies calculations, highlights the underlying wave symmetries, and leads to improved modeling of wave dynamics.