Skip to content
DraconiticResearch
Search Sources API
194,164 studies31 sourcesUpdated 40 min ago
PreprintCC BY 4.0arXiv

An Integral Equation for the Surface Current in the Problem of the Natural Modes of a Waveguide Containing a Resistive Film

Abstract

This paper considers the eigenmode problem for a waveguide with a resistive film. An integral equation for the surface current on the film is formulated. A method for evaluating the kernel is described, and an explicit expression for the kernel is derived for rectangular and circular waveguides.

Related

  1. Pointwise convergence for single-particle Schrödinger equation and Schrödinger equation with infinitely many particles on the torus and waveguide manifolds
    Divyang G. Bhimani, Subhash R. Choudhary
    arXivPreprintarXiv licenceFull textAnalysis & PDEsarXiv
  2. Integral Harnack inequality and expansion of positivity for fractional porous medium equation
    Filippo Maria Cassanello, Filomena De Filippis, Calvin Stanko
    arXivPreprintCC BY 4.0Full textAnalysis & PDEsarXiv
  3. The minimal volume of normal stable surface pairs with reduced boundary containing a zero-dimensional non-klt center
    Jihao Liu, Weili Shao
    arXivPreprintarXiv licenceFull textAlgebra & number theoryarXiv
  4. An existence result of a functional integral equation via Darbo type theorem and an iterative algorithm to solve it
    Bhuban Chandra Deuri, Anupam Das
    arXivPreprintarXiv licenceFull textAnalysis & PDEsNumerical analysis & scientific computingarXiv
  5. Measures of noncompactness in Lipschitz Banach algebra and application to quadratic fractional integral equation
    Hojjatollah Amiri Kayvanloo, Mohammad Mursaleen, Ömer Kişi
    Fixed Point Theory and Algorithms for Sciences and EngineeringPeer-reviewedCC BYFull textGeometry & topologyDOAJ
BibTeX
@misc{braver2026integral,
  title = {{An Integral Equation for the Surface Current in the Problem of the Natural Modes of a Waveguide Containing a Resistive Film}},
  author = {I. M. Braver and Kh. L. Garb and P. Sh. Fridberg},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2610.37907},
  eprint = {2610.37907},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2610.37907},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - An Integral Equation for the Surface Current in the Problem of the Natural Modes of a Waveguide Containing a Resistive Film
AU  - I. M. Braver
AU  - Kh. L. Garb
AU  - P. Sh. Fridberg
PY  - 2026
DA  - 2026/10/27
PB  - arXiv
DO  - 10.48550/arxiv.2610.37907
UR  - https://arxiv.org/abs/2610.37907
AB  - This paper considers the eigenmode problem for a waveguide with a resistive film. An integral equation for the surface current on the film is formulated. A method for evaluating the kernel is described, and an explicit expression for the kernel is derived for rectangular and circular waveguides.
ER  -