Presentation on theme: "Ionization of the Hydrogen Molecular Ion by Ultrashort Intense Elliptically Polarized Laser Radiation Ryan DuToit Xiaoxu Guan (Mentor) Klaus Bartschat."— Presentation transcript:
Ionization of the Hydrogen Molecular Ion by Ultrashort Intense Elliptically Polarized Laser Radiation Ryan DuToit Xiaoxu Guan (Mentor) Klaus Bartschat (Mentor)
Overview Motivation – Intense and ultrashort light pulses have opened up new avenues to trace and steer electronic motion in atomic and molecular systems (atomic- scale electron dynamics). – Generalize previous results to elliptical polarization
Overview Theoretical Formulation – Discretization of system using prolate spheroidal coordinates – Solve time dependent Schrödinger Equation (complicated partial differential equation)
Overview Results – Survival probability: orientation dependence – Angular distribution of photoelectron Outlook and Future Work
Introduction to Simulation Simulate short laser pulse acting on a H 2 + ion 10 18 attoseconds = 1 second More attoseconds in one second than there are seconds in the age of the universe! The electric field interacts with the electron, which is what we are interested in.
Theoretical Foundation Need to solve the time dependent Schrödinger Equation for the electron: Using time propagation, solution is:
Theoretical Foundation Exponential of large matrix is a MASSIVE computational task Finite-Element Discrete-Variable Representation (FE-DVR) – Divide space into separate elements – Expand wavefunction into basis of Lagrange polynomials – Use Gaussian quadrature to approximate integrals Transform H into a smaller h matrix – Short iterative Lanczos algorithm