Complex Analysis and Saddle-Point Methods for Strong-Field Physics and Beyond
March 6th, 2018 EMILIO PISANTY Quantum Optics Theory group
ICFO-The Institute of Photonic Sciences

Saddle-point methods are an extremely useful tool for the analysis of wave phenomena that involve highly oscillatory integrals in optics, acoustics, and quantum mechanics. In this lecture series I will give a refresher course of the complex analysis tools required to formulate the problem (including one or two detours to physical applications that might surprise old-timers) and I will explore the methods of stationary phase and steepest descent, using ionization and high-harmonic generation examples from strong-field physics to keep things grounded. Then, as time (and demand) allows, I will talk about what happens when saddles coalesce and how the integrals of catastrophe theory can be used to regularize singularities at caustics using uniform approximations.

ICFO+ Theory Lecture, March 6, 2018, 10:15. Blue Lecture Room