New solution to Airy's equation for modeling beams near turning points
- Resource Type
- Working Paper
- Authors
- Lopez, N. A.
- Source
- Subject
- Physics - Plasma Physics
Physics - Optics
- Language
Here I present a summarised description of the general behavior of waves near turning points. I show that when asymptotic matching to a prescribed incident wavefield is performed, the solution changes from being the Airy function to being more generally the hyperbolic umbilic function. This solution accounts for (de-)focusing of the incident wavefield due to gradient-index lensing in addition to the familiar Airy physics, which importantly do not superimpose. Possible applications to fusion research are discussed.
Comment: Proceeding for 2023 EPS plasma physics conference