IDEAS home Printed from https://ideas.repec.org/a/gam/jmathe/v11y2023i13p2935-d1183710.html
   My bibliography  Save this article

Detecting Line Sources inside Cylinders by Analytical Algorithms

Author

Listed:
  • Dimitrios S. Lazaridis

    (School of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
    These authors contributed equally to this work.)

  • Nikolaos L. Tsitsas

    (School of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
    These authors contributed equally to this work.)

Abstract

Inverse problems for line sources radiating inside a homogeneous magneto-dielectric cylinder are investigated. The developed algorithms concern the determination of the location and the current of each source. These algorithms are mostly analytical and are based on proper exploitation of the moments obtained by integrating the product of the total field on the cylindrical boundary with complex exponential functions. The information on the unknown parameters of the problem is encoded in these moments, and hence all parameters can be recovered by means of relatively simple explicit expressions. The cases of one and two sources are considered and analyzed. Under certain conditions, the permittivity and permeability of the cylinder are also recovered. The results from two types of numerical experiments are presented: (i) for a single source, the effect of noise on the boundary data is studied, (ii) for two sources, the pertinent nonlinear system of equations is solved numerically and the accuracy of the derived solution is discussed.

Suggested Citation

  • Dimitrios S. Lazaridis & Nikolaos L. Tsitsas, 2023. "Detecting Line Sources inside Cylinders by Analytical Algorithms," Mathematics, MDPI, vol. 11(13), pages 1-14, June.
    • Handle: RePEc:gam:jmathe:v:11:y:2023:i:13:p:2935-:d:1183710
    as

    Download full text from publisher

    File URL: https://www.mdpi.com/2227-7390/11/13/2935/pdf
    Download Restriction: no
    File URL: https://www.mdpi.com/2227-7390/11/13/2935/
    Download Restriction: no
    ---><---

    References listed on IDEAS

    as
    1. Konstantin Pieper & Bao Quoc Tang & Philip Trautmann & Daniel Walter, 2020. "Inverse point source location with the Helmholtz equation on a bounded domain," Computational Optimization and Applications, Springer, vol. 77(1), pages 213-249, September.
    2. Carlos J. S. Alves & Roberto Mamud & Nuno F. M. Martins & Nilson C. Roberty, 2017. "On Inverse Problems for Characteristic Sources in Helmholtz Equations," Mathematical Problems in Engineering, Hindawi, vol. 2017, pages 1-16, February.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Christodoulos E. Athanasiadis & Paraskevi Roupa, 2023. "Two-Dimensional Scattering of Line Source Electromagnetic Waves by a Layered Obstacle," Mathematics, MDPI, vol. 11(19), pages 1-17, September.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.

      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:gam:jmathe:v:11:y:2023:i:13:p:2935-:d:1183710. 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.

      If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with 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: MDPI Indexing Manager (email available below). General contact details of provider: https://www.mdpi.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.