Magnetostatic microwaves in circular dielectric waveguide with anisotropic uniaxial $$\mu$$-negative media
Source abstract
Abstract
© 2023, This is a U.S. Government work and not under copyright protection in the US; foreign copyright protection may apply.The quasi-magnetostatic (briefly, magnetostatic) microwaves propagation in a long, circular cross-section waveguide made of an anisotropic uniaxial μ-negative medium (here, a metamaterial consisting of split-ring resonators) is studied by using the quasi-static Maxwell’s equations. Such waves do not exist in a circular dielectric waveguide made of an isotropic μ-negative medium. A Laplace equation for the magnetostatic potential of the system is obtained and solved. We derive the dispersion relation for the modes and present numerical solutions. Also, general expressions are derived and illustrated graphically for the power flow and the energy density of the different magnetostatic modes. Physically, these magnetostatic waves owe their existence to the anisotropic property of the system, where in the absence of this property, they disappear.
Source: openaire · Quality: candidate unverified · Source record ↗
Research context
OpenAlex topics: Electromagnetic Scattering and Analysis · Metamaterials and Metasurfaces Applications · Electromagnetic Simulation and Numerical Methods
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
References (32)
Show source-provided references
1. V. Kuzmiak, A.A. Maradudin, Scattering properties of a cylinder fabricated from a left-handed material. Phys. Rev. B 66, 045116 (2002)10.1103/PhysRevB.66.045116 ↗
2. R. Ruppin, Surface polaritons and extinction properties of a left-handed material cylinder. J. Phys. Condens. Matter 16, 5991–5998 (2004)10.1088/0953-8984/16/34/001 ↗
3. L. Shen, Z. Wang, Guided modes characteristics in a fiber with left-handed material. Microw. Opt. Technol. Lett. 49, 1039–1041 (2007)10.1002/mop.22335 ↗
4. L. Shen, Z. Wang, Guided modes in fiber with left-handed materials. J. Opt. Soc. Am. A 26, 754–759 (2009)10.1364/JOSAA.26.000754 ↗
5. S. Ancey, Y. Decanini, A. Folacci, P. Gabrielli, Surface polaritons on left-handed cylinders: a complex angular momentum analysis. Phys. Rev. B 72, 085458 (2005)10.1103/PhysRevB.72.085458 ↗
6. H.-Y. She, L.-W. Li, O.J.F. Martin, J.R. Mosig, Surface polaritons of small coated cylinders illuminated by normal incident TM and TE plane waves. Opt. Express 16, 1007–1019 (2008)10.1364/OE.16.001007 ↗
7. M.S. Kushwaha, B. Djafari-Rouhani, Theory of confined plasmonic waves in coaxial cylindrical cables fabricated of metamaterials. J. Opt. Soc. Am. B 27, 148–167 (2010)10.1364/JOSAB.27.000148 ↗
8. Q.H. Guo, H.X. Cui, J. Lei, M. Kang, X.L. Wang, Y.N. Li, J. Chen, H.T. Wang, Enhanced optical angular momentum in cylinder waveguides with negative-index metamaterials. J. Opt. 14, 045703 (2012)10.1088/2040-8978/14/4/045703 ↗
9. H. Pashaeiadl, M. Naserpour, C.J. Zapata-Rodriguez, Scattering of electromagnetic waves by a graphene-coated thin cylinder of left-handed metamaterial. Optik 159, 123–132 (2018)10.1016/j.ijleo.2018.01.056 ↗
10. G.D. Banyard, C.R. Bennett, M. Babiker, Enhancement of energy relaxation rates near metal-coated dielectric cylinders. Opt. Commun. 207, 195–200 (2002)10.1016/S0030-4018(02)01447-5 ↗
11. D. Pratap, S.A. Ramakrishna, J.G. Pollock, A.K. Iyer, Anisotropic metamaterial optical fibers. Opt Express. 23, 9074–9085 (2015)10.1364/OE.23.009074 ↗
12. D. Pratap, A. Bhardwaj, S.A. Ramakrishna, Inhomogeneously filled, cylindrically anisotropic metamaterial optical fiber. J Nanophotonic. 12, 33002–33012 (2018)10.1117/1.JNP.12.033002 ↗
13. A. Bhardwaj, K.V. Srivastava, S.A. Ramakrishna, Propagation of wave in a cylindrical waveguide filled with hyperbolic negative index medium. Microwave Opt. Technol. Lett. 62, 3385–3390 (2020)10.1002/mop.32460 ↗
14. A. Moradi, N.T. Tokan, Magnetostatic microwaves in circular metallic waveguides filled with uniaxial negative permeability media. J. Appl. Phys. 132, 143901 (2022)10.1063/5.0119773 ↗
15. L. Solymar, E. Shamonina, Waves in Metamaterials (Oxford University Press, New York, 2009)10.1093/oso/9780199215331.001.0001 ↗
16. A. Moradi, Electrostatic theory of rectangular waveguides filled with anisotropic media. Sci. Rep. 11, 24522 (2021)10.1038/s41598-021-04293-6 ↗
17. T.K. Das, M.G. Cottam, Magnetostatic modes and magnetic polaritons in ferromagnetic and antiferromagnetic nanorings. J. Magn. Magn. Mater. 310, 2183–2185 (2007)10.1016/j.jmmm.2006.10.752 ↗
18. A. Moradi, A. Meidanchi, Magnetostatic modes hybridization in left-handed cylindrical shells. Phys. Scr. 79, 045801 (2009)10.1088/0031-8949/79/04/045801 ↗
19. A.B. Shvartsburg, A.A. Maradudin, Waves in Gradient Metamaterials (World Scientific, Singapore, 2013)10.1142/8649 ↗
20. M.M. Bait-Suwailam, M.S. Boybay, O.M. Ramahi, Electromagnetic coupling reduction in high-profile monopole antennas using single-negative magnetic metamaterials for MIMO applications. IEEE Trans. Antennas Propag. 58, 2894–2902 (2010)10.1109/TAP.2010.2052560 ↗
21. E. Celenk, N.T. Tokan, All-textile on-body metasurface antenna. Prog. Electromagn. Res. M 110, 119–131 (2022)10.2528/PIERM22021602 ↗
22. D.D. Stancil, Theory of Magnetostatic Waves (Springer, New York, 1993)10.1007/978-1-4613-9338-2 ↗
23. A. Moradi, Distribution of electromagnetic energy density in a dispersive and dissipative metamaterial. J. Mod. Opt. 68, 634–640 (2021)10.1080/09500340.2021.1937736 ↗
24. A. Moradi, Surface and bulk plasmons in cylindrical electric-gyrotropic wires. J. Opt. Soc. Am. B 37, 2947–2955 (2020)10.1364/JOSAB.398430 ↗
25. I.V. -Perez, N.R. Arista, Hydrodynamical model for bulk and surface plasmons in cylindrical wires. Surf. Sci. 603, 1–13 (2009)10.1016/j.susc.2008.10.021 ↗
26. A. Moradi, Canonical Problems in the Theory of Plasmonics: From 3D to 2D Systems (Springer, Cham, 2020)10.1007/978-3-030-43836-4 ↗
27. S.S. Gupta, N.C. Srivastava, Power flow and energy distribution of magnetostatic bulk waves-in dielectric-layered structure. J. Appl. Phys. 50, 6697–6699 (1979)10.1063/1.325902 ↗
28. K. Yasumoto, Y. Õishi, A new evaluation of the Goos–Hänchen shift and associated time delay. J. Appl. Phys. 54, 2170–2176 (1983)10.1063/1.332395 ↗
29. C.A. Balanis, Advanced Engineering Electromagnetics (Wiley, New York, 1989)
30. A. Moradi, Theory of energy and power flow of plasmonic waves on single-walled carbon nanotubes. J. Appl. Phys. 122, 133103 (2017)10.1063/1.4997454 ↗
31. G.N. Watson, A Treatise on the Theory of Bessel Functions (Cambridge University Press, London, 1944)
32. H.J. Eom, Electromagnetic Wave Theory for Boundary-Value Problems (Springer, Berlin, 2004)10.1007/978-3-662-06943-1 ↗