Detecting Line Sources inside Cylinders by Analytical Algorithms

Dimitrios S. Lazaridis and Nikolaos L. Tsitsas ()
Additional contact information
Dimitrios S. Lazaridis: School of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece
Nikolaos L. Tsitsas: School of Informatics, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece

Mathematics, 2023, vol. 11, issue 13, 1-14

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.

Keywords: line sources; inverse scattering; cylinders; analytical algorithms (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
https://www.mdpi.com/2227-7390/11/13/2935/pdf (application/pdf)
https://www.mdpi.com/2227-7390/11/13/2935/ (text/html)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:gam:jmathe:v:11:y:2023:i:13:p:2935-:d:1183710

Access Statistics for this article

Mathematics is currently edited by Ms. Emma He

More articles in Mathematics from MDPI
Bibliographic data for series maintained by MDPI Indexing Manager ().