Slow Surface Electromagnetic Waves on a mu-Negative Cylinder
Abstract
This paper presents the theoretical study of metamaterials with negative magnetic permeability. The electrodynamics phenomenological description has been chosen. The dispersion properties of slow surface electromagnetic waves propagating along a circular cylinder made of mu-negative metamaterial are studied. We neglect energy losses in the metamaterial. Negativity of permeability occurs in relatively bounded frequency intervals, and for all modes, a normal dispersion occurs, regardless of parameter values. The values of phase velocities of these waves lie between c and 0.3c. The phase velocity dependencies of the studied modes versus their frequency have a diverse appearance. The directions of group and phase velocities coincide. The values of group velocity are less than 0.002c. The wave fields are the superposition of transverse-electric and transverse-magnetic parts and decay exponentially in a radial direction away from the separating boundary. The wave fields penetrate mu- negative metamaterial much weaker than into a vacuum. Wave propagation in the structure does not require an external magnetic field. The variety of these wave features on the cylinder parameters can be used for different applications.
Downloads
References
N. Engheta, and R.W. Ziolkowski, Electromagnetic Metamaterials: Physics and Engineering Explorations, (Wiley and IEEE Press, 2006).
T. Cui, S. Zhang, A. Al`u, et al., ”Roadmap on electromagnetic metamaterials and metasurfaces,” Journal of Physics: Photonics, 6, 032502 (2024). https://dx.doi.org/10.1088/2515-7647/ad1a3b
I. Shadrivov, M. Lapine, and Y. Kivshar, Nonlinear, tunable and active metamaterial, (Springer, 2015). https://link.springer.com/book/10.1007/978-3-319-08386-5
J.B. Pendry, A.J. Holden, D.J. Robbins, and W.J. Stewart, ”Magnetism from conductors and enhanced nonlinear phenomena,” IEEE Transactions on Microwave Theory and Techniques, 47, 2075-2084 (1999). https://doi.org/10.1109/22.798002
V. Galaydych, and M. Azarenkov, Applied Physics B, ”Slow surface electromagnetic waves on a mu-negative medium,” 128(7), 132 (2022). https://doi.org/10.1007/s00340-022-07854-3
V. Galaydych, and M. Azarenkov, ”Surface polaritons in a vacuum gap inside mu-negative medium,” Applied Physics A: Materials Science and Processing, 129(7), 466 (2023). https://doi.org/10.1007/s00339-023-06751-6
J.A. Stratton, Electromagnetic Theory, (John Wiley & Sons, LTD, 2007).
J. Ashley, and L. Emerson, ”Dispersion relations for non-radiative surface plasmons on cylinders,” Surface Science, 41(2), 615-618 (1974). https://doi.org/10.1016/0039-6028(74)90080-6
K. Galaidych, P. Markov, and G.Sotnikov, ”Amplification of the Multifrequency Signal in the Coaxial Slow-Wave Structure,” Telecommunications and Radio Engineering, 67(2), 177-189 (2008). https://doi.org/10.1615/TelecomRadEng.v67.i2.70
K.E. Zayed, ”Surface wave-beam interaction in cylindrical geometry,” Physica, 58(2), 177 (1972). https://doi.org/10.1016/0031-8914(72)90285-6
A. Zayats, I. Smolyaninov, and A. Maradudin, ”Nano-optics of surface plasmon polaritons,” Physics Reports, 408, 131-314 (2005). http://dx.doi.org/10.1016/j.physrep.2004.11.001
F. Zhang, W. Wang, and Z. Zhang, ”Simulation Study of a High-Order Mode BWO with Multiple Inclined Rectangular Electron Beams,” Progress In Electromagnetics Research C, 110, 213-227 (2021). http://dx.doi.org/10.2528/PIERC21010401
Copyright (c) 2025 Victor Galaydych, Mykola Azarenkov
This work is licensed under a Creative Commons Attribution 4.0 International License.
Authors who publish with this journal agree to the following terms:
- Authors retain copyright and grant the journal right of first publication with the work simultaneously licensed under a Creative Commons Attribution License that allows others to share the work with an acknowledgment of the work's authorship and initial publication in this journal.
- Authors are able to enter into separate, additional contractual arrangements for the non-exclusive distribution of the journal's published version of the work (e.g., post it to an institutional repository or publish it in a book), with an acknowledgment of its initial publication in this journal.
- Authors are permitted and encouraged to post their work online (e.g., in institutional repositories or on their website) prior to and during the submission process, as it can lead to productive exchanges, as well as earlier and greater citation of published work (See The Effect of Open Access).
