Abstract: Gaussian
Beams are asymptotic solutions to linear hyperbolic
equations that concentrate on a single ray in
spacetime. Their most significant feature is that
they exist for all time: single rays cannot produce
caustics. Continuous superpositions of Gaussian
beams give accurate representations of caustics.
This has made gaussian beams useful as
approximations in problems with many caustics that
are not necessarily of standard type. I will give a
fairly concise construction of gaussian beams in a
fairly general setting and discuss some recent
applications.
[LECTURE SLIDES, Part I]
[LECTURE SLIDES, Part II]
