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Research Article

Surface waves in an open circular waveguide filled with inhomogeneous chiral media

ORCID Icon, ORCID Icon & ORCID Icon
Pages 505-519 | Received 06 May 2021, Accepted 25 Aug 2021, Published online: 01 Sep 2021

References

  • Zhou H, Zhang K. Analysis of circular dielectric waveguide with chiral cladding. Int J Infrared Millimet Waves. 1999;20:1989–1999. DOI:https://doi.org/10.1023/A:1022945517424
  • Dong J-F, Li J. Characteristics of guided modes in uniaxial chiral circular waveguides. Progress Electromagn Res. 2012;124:331–345.
  • Shestopalov V, Shestopalov Y. Spectral theory and excitation of open structures. London: IET; 1996.
  • Hanson G, Yakovlev A. Operator theory for electromagnetics: an introduction. New York: Springer; 2002.
  • Smirnov YG. Application of the operator pencil method in the eigenvalue problem for partially. Dokl AN SSSR. 1990;312:597–599.
  • Smirnov Yu. G. The method of operator pencils in the boundary transmission problems for elliptic system of equations. Differ Equ. 1991;27:140–147.
  • Smirnov Yu. G. Mathematical methods for electromagnetic problems. Penza: PSU Press; 2009.
  • Shestopalov Y, Smirnov Y. Eigenwaves in waveguides with dielectric inclusions spectrum. Appl Anal. 2014;93(2):408–427.
  • Shestopalov Y, Smirnov Y. Eigenwaves in waveguides with dielectric inclusions: spectrum. Complete Appl Anal. 2014;93(9):1824–1845.
  • Keldysh MV. On the completeness of the eigenfunctions of some classes of non-selfadjoint linear operators. Dokl SSSR. 1951;77:11–4.
  • Delitsyn AL. An approach to the completeness of normal waves in a waveguide with magnitodielectric filling. Differ Equ. 2000;36:695–700.
  • Krasnushkin PE, Moiseev EI. On the excitation of oscillations in layered radiowaveguide. Dokl SSSR. 1982;264:1123–1127.
  • Zilbergleit AS, Kopilevich YI. Spectral theory of guided waves. London: Inst. of Phys.; 1966.
  • Kopp VI, Churikov VM, Singer J, et al. Chiral gratings in optical fiber. In: The 17th Annual Meeting of the IEEE Lasers and Electro-Optics Society, 2004. LEOS 2004. Vol. 2; 2004. p. 715–716. DOI:https://doi.org/10.1109/LEOS.2004.1363439
  • Kopp VI, Park J, Wlodawski M, et al. Chiral fibers: microformed optical waveguides for polarization control, sensing, coupling, amplification, and switching. J Lightw Technol. 2014 Feb;32(4):605–613. DOI:https://doi.org/10.1109/JLT.2013.2283495
  • Chatterjee MR, Ataai RY. Propagation across chiral interfaces and tunable slab resonators without and with dispersion. In: 2018 IEEE Photonics Conference (IPC); 2018. p. 1–2. DOI:https://doi.org/10.1109/IPCon.2018.8527299
  • Engheta N, Jaggard DL. Electromagnetic chirality and its applications. IEEE Antenn Propag Soc Newslett. 1988;30(5):6–12. DOI:https://doi.org/10.1109/MAP.1988.6086107
  • Smirnov YG, Smolkin E. Operator function method in the problem of normal waves in an inhomogeneous waveguide. Differ Equ. 2018;54(9):1262–1273.
  • Smirnov YG, Smolkin E. Investigation of the spectrum of the problem of normal waves in a closed regular inhomogeneous dielectric waveguide of arbitrary cross section. Dokl Math. 2017;97(1):86–89.
  • Smirnov YG, Smolkin E. Eigenwaves in a lossy metal-dielectric waveguide. Appl Anal. 2018;99(1):1–12.
  • Abramovic M, Stigan I. Handbook on special functions. Moscow: Nauka; 1979. Russian.
  • Kato T. Perturbation theory for linear operators. New York: Springer; 1980.
  • Smirnov YG, Smolkin E. Discreteness of the spectrum in the problem on normal waves in an open inhomogeneous waveguide. Differ Equ. 2018;53(10):1168–1179.
  • Gohberg I, Krein M. Introduction to the theory of linear nonselfadjoint operators in Hilbert space. Vol. 18. Providence (RI): American Mathematical Society; 1969.
  • Kress R. Linear integral equations. New York: Springer; 1999.
  • Eugene S. Numerical method for electromagnetic wave propagation problem in a cylindrical inhomogeneous metal dielectric waveguiding structures. Math Modell Anal. 2017;22(3):271–282.

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