Skip to content
DraconiticResearch
Search Sources API
203,234 studies31 sourcesUpdated 4 min ago
Peer-reviewedCC BYMathematics Interdisciplinary Research

Investigation of Electromagnetic Wave Propagation in‎ ‎Fractional‎ Space‎ ‎in ‎Elliptical‎‎ Coordinates System and its Application in Elliptical Waveguide

  • Rita Faeghi1
  • Reza Ramezani Arani1
  1. 1‎Faculty of Physics, ‎University of Kashan, ‎Kashan‎, ‎I‎. ‎R‎. ‎Iran
Open at sourcePDFDOICite

Abstract

‎Basic vector differential operators‎, ‎such as gradient‎, ‎divergence‎, ‎Laplacian‎, ‎and curl operators‎, ‎are generalized and developed in elliptical coordinate systems in fractional space‎. ‎The equation of Helmholtz in fractional space in an elliptical coordinate system is modified and solved in this coordinate and space for the investigation of wave propagation in the mentioned configuration‎. The general solutions of the scalar wave equation in fractional space in the elliptical coordinate system are obtained regarding the confluent Heun function‎. ‎In terms of longitudinal electromagnetic field components in elliptical coordinate systems in fractional space‎, ‎transverse electromagnetic field components are obtained‎. ‎The electric and magnetic fields in elliptical coordinates systems in fractional space are developed in terms of‎ ‎vector potentials‎, ‎and so TE and TM modes are investigated‎. ‎For all cases studied‎, ‎when the dimension is assumed to be an integer‎, ‎the classical results are rewritten to validate the results‎.

Related

  1. Sharp Propagation and the Local-to-Nonlocal Transition for Fractional Fisher-KPP Equations on Integer Lattices
    Yuanyang Hu
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Moments propagation in the Vlasov equation and application to the Navier-Stokes-Vlasov equations
    Yanqing Wang, Wei Wei, Yulin Ye +1
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  3. Precise propagation rates of the fractional Fisher-KPP equation with free boundaries
    Huyuan Chen, Yihong Du, Wenjie Ni
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  4. Fractional multiterm Gronwall lemma for functions of two variables and its application to fractional higher-order systems of hyperbolic type
    Dariusz Idczak
    Electronic Journal of Differential EquationsPeer-reviewedCC BYFull textGeneral mathematicsDOAJ
  5. BLOCKING OF BISTABLE FRONT PROPAGATION: APPLICATION TO WOLBACHIA POPULATION REPLACEMENT
    Saoussen Latrach, Nicolas Vauchelet, Hatem Zaag
    HALPreprintPublisher termsFull textAnalysis & PDEsHALarXiv

Cite

BibTeXRIS
BibTeX
@article{faeghi2026investigation,
  title = {{Investigation of Electromagnetic Wave Propagation in‎ ‎Fractional‎ Space‎ ‎in ‎Elliptical‎‎ Coordinates System and its Application in Elliptical Waveguide}},
  author = {Rita Faeghi and Reza Ramezani Arani},
  journal = {Mathematics Interdisciplinary Research},
  year = {2026},
  month = oct,
  doi = {10.22052/mir.2025.256963.1521},
  url = {https://doi.org/10.22052/mir.2025.256963.1521},
  note = {CC BY},
}
RIS
TY  - JOUR
TI  - Investigation of Electromagnetic Wave Propagation in‎ ‎Fractional‎ Space‎ ‎in ‎Elliptical‎‎ Coordinates System and its Application in Elliptical Waveguide
AU  - Rita Faeghi
AU  - Reza Ramezani Arani
PY  - 2026
DA  - 2026/10/30
JO  - Mathematics Interdisciplinary Research
DO  - 10.22052/mir.2025.256963.1521
UR  - https://doi.org/10.22052/mir.2025.256963.1521
AB  - ‎Basic vector differential operators‎, ‎such as gradient‎, ‎divergence‎, ‎Laplacian‎, ‎and curl operators‎, ‎are generalized and developed in elliptical coordinate systems in fractional space‎. ‎The equation of Helmholtz in fractional space in an elliptical coordinate system is modified and solved in this coordinate and space for the investigation of wave propagation in the mentioned configuration‎. The general solutions of the scalar wave equation in fractional space in the elliptical coordinate system are obtained regarding the confluent Heun function‎. ‎In terms of longitudinal electromagnetic field components in elliptical coordinate systems in fractional space‎, ‎transverse electromagnetic field components are obtained‎. ‎The electric and magnetic fields in elliptical coordinates systems in fractional space are developed in terms of‎ ‎vector potentials‎, ‎and so TE and TM modes are investigated‎. ‎For all cases studied‎, ‎when the dimension is assumed to be an integer‎, ‎the classical results are rewritten to validate the results‎.
SN  - 2476-4965
ER  -