IDEAS home Printed from https://ideas.repec.org/a/vrs/repfms/v23y2015is1p61-70n7.html
   My bibliography  Save this article

Charged Particle Dynamics Inside Electrostatic Quadrupole Deflection System with Circular Electrodes and Rotationally Symmetric Design

Author

Listed:
  • Minárik Stanislav

    (Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Advanced Technologies Research Institute, Bottova 25, 917 24 Trnava, Slovakia)

  • Riedlmajer Róbert

    (Slovak University of Technology in Bratislava, Faculty of Materials Science and Technology in Trnava, Advanced Technologies Research Institute, Bottova 25, 917 24 Trnava, Slovakia)

Abstract

This paper offers a theoretical study of special type of electrostatic quadrupole deflection system (EQDS) intended for ion beam optics. We deal with EQDS consisting of electrode pairs with rotational symmetry design. This systems was pre-designed for an ion beam modification and trajectory controlling. Basic assumptions for determination of transfer characteristics of such systems are analysed on the basic of charged particle dynamics. We are especially interested in the electrostatic field distribution among electrodes inside the mentioned type of EQDS. Typical case of the Sturm-Liouville boundary value problem called Bessel`s differential equation arises in calculation of the electrostatic scalar potential with rotational symmetry. Bessel`s functions are particular solution of Laplace equation in this case. The scalar potential equations of motion for ions in this electrostatic field are found. The path of charge-particles in this field could be determined by solving the trajectory equation of motion in Cartesian coordinates.

Suggested Citation

  • Minárik Stanislav & Riedlmajer Róbert, 2015. "Charged Particle Dynamics Inside Electrostatic Quadrupole Deflection System with Circular Electrodes and Rotationally Symmetric Design," Research Papers Faculty of Materials Science and Technology Slovak University of Technology, Sciendo, vol. 23(s1), pages 61-70, August.
    • Handle: RePEc:vrs:repfms:v:23:y:2015:i:s1:p:61-70:n:7
    DOI: 10.1515/rput-2015-0028
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/rput-2015-0028
    Download Restriction: no
    File URL: https://libkey.io/10.1515/rput-2015-0028?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:vrs:repfms:v:23:y:2015:i:s1:p:61-70:n:7. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Peter Golla (email available below). General contact details of provider: https://www.sciendo.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.