Slow Electromagnetic Surface TM-Waves in Planar Waveguide Structure with Mu-Negative Metamaterial Slab

Keywords: mu-negative metamaterial, plasma-like media, electromagnetic surface wave, wave dispersion properties, phase and group velocities, spatial wave structure


In this work, we study the properties of slow electromagnetic surface TM-waves propagating along the planar waveguide structure involving the mu-negative metamaterial slab. The planar mu-negative metamaterial layer separates two semi-infinite regions: the plasma and the conventional dielectric. All media are assumed to be linear, homogeneous, and isotropic. The dispersion properties, the phase and group velocities, the spatial distribution of the electromagnetic fields of the TM mode in frequency range where the metamaterial has a negative permeability are under the consideration. The properties of this TM-eigenwave of the structure and two other TE modes are compared. It is studied the TM-eigenwave properties variation with metamaterail and plasma-like media properties changing. It is shown that for the considered structure, the properties of the TM mode depend significantly on the parameters of the plasma-like medium.


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I. Shadrivov, M. Lapine, and Y. Kivshar, Nonlinear, tunable and active metamaterial (Springer, 2015), 324 p.

L. Solymar, and E. Shamonina, Waves in Metamaterials, (Oxford University Press, Oxford, 2009).

M.I. Stockman, K. Kneipp, S.I. Bozhevolnyi, S. Saha, A. Dutta, J. Ndukaife, N. Kinsey, et al., Journal of Optics, 20(4), 043001 (2018).

F. Capolino, editor, Theory and Phenomena of Metamaterials, (CRC Press, Boca Raton, 2009).

R. Ruppin, “Surface polaritons of a left-handed medium”, Phys. Lett. A, 277(1), 61–64 (2000).

I.V. Shadrivov, A. Sukhorukov, and Y. Kivshar, “Guided modes in negative-refractive-index waveguides”, Phys. Rev. E, 67(5), 057602 (2003).

G. D’Aguanno, N. Mattiucci, M. Scalora, and M.J. Bloemer, “TE and TM guided modes in an air waveguide with negative-index material cladding”, Physical Review E, 71(4), 046603 (2005).

Y. He, Z. Cao, and Q. Shen, “Guided optical modes in asymmetric left-handed waveguides”, Optics Communications, 245(1-6), 125-135 (2005).

B. Wu, T. Grzegorczyk, Y. Zhang, and J. Kong, “Guided modes with imaginary transverse wave number in a slab waveguide with negative permittivity and permeability”, J. Appl. Phys. 93(11), 9386-9388 (2003).

C. Hermann, A. Klaedtke, C. Jamois, and O. Hess, “Surface plasmon polaritons in generalized slab heterostructures with negative permittivity and permeability”, Physical Review B, 73(8), 085104 (2006).

V.K. Galaydych, N.A. Azarenkov, V.P. Olefir, and A.E. Sporov, “Surface electromagnetic waves on boundary between lossy dielectric and left-handed material with gain”, Problems of Atomic Science and Technology, 1, 96 (2017),

S.M. Vukovic, N.B. Aleksic, and D.V. Timotijevic, “Guided modes in left-handed waveguides”, Optics Communications, 281(6), 1500-1509 (2008).

V.K. Galaydych, N.A. Azarenkov, V.P. Olefir, and A.E. Sporov, “Modelling of the electromagnetic surface waves propagation on the interface between the left-handed metamaterial and the dissipative dielectric”, Problems of Atomic Science and Technology, 6, 109 (2018).

J.B. Pendry, A.J. Holden, D.J. Robbins, and W.J. Stewart, “Magnetism from conductors and enhanced nonlinear phenomena”, IEEE Trans. MTT, 47(11), 2075-2084 (1999).

V. Galaydych, and N. Azarenkov, “Slow surface electromagnetic waves on a mu‑negative medium”, Applied Physics B, 128(7), 132 (2022).

V. Galaydych, A. Sporov. V. Olefir, and N. Azarenkov, “Slow surface eigenmodes directed by the mu-negative metamaterial slab,” East European Journal of Physics, 3, 77-83 (2022).

V. Galaydych, and N. Azarenkov. “Surface polaritons in a vacuum gap inside mu-negative medium”, Applied Physics A, 129, 466 (2023).

M. Stockman, “Applied optics. Nanoplasmonic sensing and detection”, Science, 348(6232), 287-288 (2015).

S. Antipov, W. Liu, W. Gai, J. Power, and L. Spentzouris, “Double-negative metamaterial research for accelerator applications”, Nuclear Instruments and Methods in Physics Research A, 579(3), 915-923 (2007).

S. Boriskina, G. Hadi, and C. Gang, “Plasmonic materials for energy: From physics to applications”, Materials Today, 16(10), 375-386 (2013).

How to Cite
Sporov, O. E., Olefir, V. P., Azarenkov, M. O., & Galaydych, V. K. (2023). Slow Electromagnetic Surface TM-Waves in Planar Waveguide Structure with Mu-Negative Metamaterial Slab. East European Journal of Physics, (3), 240-247.

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