Intense laser interactions with h 2 and d 2 a computational project
Download
1 / 29

Intense LASER interactions with H 2 + and D 2 + : A Computational Project - PowerPoint PPT Presentation


  • 129 Views
  • Uploaded on

Intense LASER interactions with H 2 + and D 2 + : A Computational Project.  Ted Cackowski. Project Description. Assisting the multiple-body-mechanics group at KSU with calculations of H 2 + /D 2 + behavior under the influence of a short, yet intense laser pulse. Motivation.

loader
I am the owner, or an agent authorized to act on behalf of the owner, of the copyrighted work described.
capcha
Download Presentation

PowerPoint Slideshow about ' Intense LASER interactions with H 2 + and D 2 + : A Computational Project' - alec


An Image/Link below is provided (as is) to download presentation

Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author.While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server.


- - - - - - - - - - - - - - - - - - - - - - - - - - E N D - - - - - - - - - - - - - - - - - - - - - - - - - -
Presentation Transcript
Intense laser interactions with h 2 and d 2 a computational project

Intense LASER interactions with H2+ and D2+:A Computational Project

 Ted Cackowski


Project description
Project Description

  • Assisting the multiple-body-mechanics group at KSU with calculations of H2+/D2+ behavior under the influence of a short, yet intense laser pulse.


Motivation
Motivation

  • To explore the validity of the Axial Recoil Approximation

    • Exploring the quantum mechanics of H2+/D2+ in a time-varying electric field under various experimental conditions

    • Exploring the quantum dynamics there afterward


Modes of operation
Modes of Operation

  • Schrödinger's Equation

    and the associated quantum mechanics

  • Fortran 90/95




Scales of physical interest
Scales of Physical Interest

  • Laser Intensity: ~1E14 watts/cm2

  • Pulse Length: ~7E-15 s (femtoseconds)

  • Frequency: 790E-9 m (nanometers)

  • H2/D2 Nuclear Separation:

    • ~3E-10 m (angstroms)


Diatomic hydrogen
Diatomic Hydrogen

  • Two protons, two electrons

  • Born-Oppenheimer Approximation

    • First Electrons, then Nuclei



H 2 molecule
H2+ Molecule

  • There are two separate pulses.

  • Ionizing pulse gives us our computational starting point

  • Franck-Condon Approximation



Note on completeness
Note on Completeness

  • The Overlap Integral

    • Where, |FCV|2 are bound/unbound probabilities

  • Unavoidable dissociation by ionization

  • Controlled dissociation


Mechanics
Mechanics

  • The second pulse is the dissociating pulse.

  • We now have the Hamiltonian of interest

  • Dipole Approximation


Linear methods
Linear Methods

  • We expand Yinitialonto an orthonormal basis

    • Overlap integral / Fourier’s trick

  • We then generate the matrix H as in

  • Propagate the vector through time using an arsenal of numerical techniques


Data production
Data Production

  • After producing a nuclear wave function associated with a particular dissociation channel, any physical observable can be predicted.

  • “Density Plots” are probability density plots (Ψ*Ψ)



Notable observables
Notable Observables

  • Angular distribution of dissociation

    as it depends on:

    • Pulse Duration

    • Pulse Intensity

    • Carrier Envelope Phase (CEP)


My work
My Work

  • Computational Oversight

  • Two Fortran Programs

    • First: Calculate the evolution of the wave function when the Electric field is non-negligible

    • Second: Calculate the evolution of the wave function when the Electric field is negligible

  • Produce measurable numbers



Conclusions
Conclusions

  • Rotational inertia plays an important role

  • Pulse intensity is critical

  • Further analysis will be required for pulse length and CEP


Future work
Future Work

  • Simulate H2+ under various CEP initial conditions

  • Confidence Testing

  • Data Interpretation

  • Connect with JRM affiliates


Special group thanks
Special Group Thanks

  • Dr. Esry

  • Fatima Anis

  • Yujun Wang

  • Jianjun Hua

  • Erin Lynch


Special reu thanks
Special REU Thanks

  • Dr. Weaver

  • Dr. Corwin

  • Participants

  • Jane Peterson


Bibliography
Bibliography

  • Figure 1 from Max Planck institute for Quantum Optics website

  • Figure 2 from Wikipedia, “Frank-Condon”

http://images.google.com/imgres?imgurl=http://www.mpq.mpg.de/~haensch/grafik/3DdistributionD.gif&imgrefurl=http://www.mpq.mpg.de/~haensch/htm/Research.htm&h=290&w=420&sz=24&hl=en&start=0&um=1&tbnid=rOBflIUYzSm7xM:&tbnh=86&tbnw=125&prev=/images%3Fq%3DH2%252B%26svnum%3D10%26um%3D1%26hl%3Den%26sa%3DN


ad