A novel algorithm for Velocity Map Imaging systems

POSTER

Abstract

In this work, we report a novel algorithm to reconstruct the three-dimensional (3D) momentum space picture of any charged particles collected with a Velocity Map Imaging system from the two-dimensional (2D) projected image captured by a detector \footnote{B. J. Whitaker, Imaging in Molecular Dynamics: Technology and Applications (Cambrigde University Press, Cambridge, 2003).}. The method uses the proper analytical two-dimensional projection function to retrieve the 3D distribution. The meaningful angle-correlated information is first extracted from the raw data by expanding the 2D image with a complete set of Legendre polynomials. Both the particle's angular and energy distributions are then retrieved from the expansion coefficients. The algorithm is simple, easy to implant, fast, and does not require any initial guess for the 3D distribution. In addition, our procedure explicitly takes into account the pixelization effect in the measurement \footnote{G. Harrison, J. Vaughan, B. Hidle, and G. M. Laurent, A simple algorithm for Velocity Map Imaging system, submitted}.

Authors

  • Geoffrey Harrison

    Auburn University

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida

  • S.S. Gupta

    Department of Applied Mathematics & Sciences, Khalifa University, Abu Dhabi 127788, UAE, Physics Department, Kalamazoo College, Kalamazoo, Michigan 49006, USA, National Superconducting Cyclotron Laboratory, Michigan State University, East Lansing, Michigan 48824, USA, Indian Institute of Technology Ropar, Nangal Road, Rupnagar (Ropar), Punjab 140 001, India, The Institute for Nuclear Research, Moscow, Davidson Coll, Western kentucky University, Bowling Green, KY 42101, Naval Postgraduate School, Austin Peay State University, Univ of Tennessee, Knoxville, University of Nebraska, Rajarata University of Sri Lanka, University of West Georgia, Department of Physics, University of Alabama at Birmingham, Center for High Pressure Science and Technology Advanced Research, Northwestern Univ, Univ of Virginia, Western Kentucky University, Physics Dept. Bowling Green, KY, Department of Physics, The University of Texas-Rio Grande Valley, TX 78539, Western Kentucky University, Bowling Green, KY 42101, Western Kentucky University, School of Electronic and Electrical Engineering, University of Leeds, Leeds LS2 9JT, United Kingdom, Austin Peay State Univ, University of Pardubice, Clemson University, Appalachian State Univ, Department of Physics, University of West Georgia, Department of Geosciences, University of West Georgia, Department of Physics and Astronomy, Georgia State University, Francis Marion University, The Pennsylvania State University, Auburn University, Department of Physics & Astronomy, Louisiana State University, Baton Rouge, Louisiana, Department of Physics, Brigham Young University-Idaho, Rexburg, Idaho, Department of Physics,North Carolina State University, William Mong Institute of Nano Science and Technology, MSTD, Oak Ridge National Laboratory, Department of Physics and Astronomy, Vanderbilt University, Univ of Bristol, University of Alabama in Birmingham, Georgia Institute of Technology, Sandia National Laboratories, University of South Florida