I'd like to learn about the dynamics of reflections on fluid surfaces near the interface where the surface is most curved.
What topics in physics/mathematics should I learn for a better understanding of this?
>there is no branch that studies something like that
i'd be willing to bet that not only is this wrong but that there are in fact multiple branches that heavily specialize in this particular subject
Fluid mechanics and optics.
FM for fluid behavior and surface tension stuff. Optics for reflections by the fluid altered by the environment.
You might need to use finite elements method sort of thing to analyse the fluid in steady-state. Easy if you are familiar with Matlab etc.
Cool topic but i can't think of areas of use tbh.
Adaptive Optics, OP. There is a lab at my university dedicated to studying it.
Calculus (through multivariable for the surface formaization)
electricity and magnetism for the light
linear algebra to help with the vector calc
that should be all you need. maybe some other minor things i haven't mentioned