- Open Access
Temporal interface in wire media: Generation of multiple waves
Phys. Rev. B 112, 235157 – Published 22 December, 2025
DOI: https://doi.org/10.1103/j1t6-8vl3
Abstract
In this work, we consider an instantaneous transition of a uniaxial dielectric formed by an array of short conducting wires (split-wire medium) into a usual wire medium (WM) of continuous infinitely long wires. Due to strong spatial dispersion in the WM, the known theory by Morgecnthaler of temporal discontinuities in continuous media cannot be applied, and we solve this problem in the time domain using temporal boundary conditions that we specially derive. We find that a wave with transverse magnetic polarization propagating in the split WM (before transition) transforms into four waves: a pair of transverse magnetic waves and a pair of transverse electromagnetic waves. The power flow splits so that one of the new propagation directions is along the wires. The analytical model is validated by full-wave simulations.
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References (23)
- F. R. Morgenthaler, Velocity modulation of electromagnetic waves, IRE Trans. Microwave Theory Tech. 6, 167 (1958).
- P. A. Belov, R. Marqués, S. I. Maslovski, I. S. Nefedov, M. Silveirinha, C. R. Simovski, and S. A. Tretyakov, Strong spatial dispersion in wire media in the very large wavelength limit, Phys. Rev. B 67, 113103 (2003).
- C. Simovski, M. S. Mirmoosa, M. Sidorenko, and S. Tretyakov, Electromagnetic time interfaces in wire media: Innovations for subwavelength imaging, Phys. Rev. Res. 7, 033165 (2025).
- J. B. Pendry, A. J. Holden, D. J. Robbins, and W. J. Stewart, Low frequency plasmons in thin-wire structures, J. Phys.: Condens. Matter 10, 4785 (1998).
- C. R. Simovski, P. A. Belov, A. V. Atraschenko, and Y. S. Kivshar, Wire metamaterials: Physics and applications, Adv. Mater. 24, 4229 (2012).
- J. Brown, Artificial dielectrics, Progress in Dielectrics 2, 195 (1960).
- W. Rotman, Plasma simulation by artificial dielectrics and parallel-plate media, IRE Trans. Anntenas Propag. 10, 82 (1962).
- S. I. Maslovski, S. A. Tretyakov, and P. A. Belov, Wire media with negative effective permittivity: A quasi-static model, Microwave Opt. Technol. Lett. 35, 47 (2002).
- S. A. Tretyakov, Analytical Modeling in Applied Electromagnetics (Artech House, London, 2003).
- M. Mirmoosa, F. Rüting, I. Nefedov, and C. Simovski, Effective-medium model of wire metamaterials in the problems of radiative heat transfer, J. Appl. Phys. 115, 234905 (2014).
- M. Mirmoosa, S. Kosulnikov, and C. Simovski, Double resonant wideband Purcell effect in wire metamaterials, J. Opt. 18, 095101 (2016).
- S. Kosulnikov, M. Mirmoosa, and C. Simovski, A simple homogeneous model for regular and irregular metallic wire media samples, Photonics Nanostruct. Fundam. Appl. 28, 88 (2018).
- R. Balafendiev, C. Simovski, A. J. Millar, and P. Belov, Wire metamaterial filled metallic resonators, Phys. Rev. B 106, 075106 (2022).
- D. Vovchuk, M. Khobzei, M. Apostolyuk, V. Tkach, and C. Simovski, Broadband transfer of digital images in optically long wire media, Nanophotonics 12, 2797 (2023).
- J. A. Enriquez, R. Balafendiev, A. Millar, C. Simovski, and P. Belov, Uniform field in microwave cavities using effective magnetic walls, Phys. Rev. Appl. 23, 054053 (2025).
- R. E. Collin, Fields Theory of Guided Waves (Wiley-Interscience, New York, 1991), pp. 754–764.
- P. A. Belov and C. R. Simovski, Homogenization of electromagnetic crystals formed by uniaxial resonant scatterers, Phys. Rev. E 72, 026615 (2005).
- E. Galiffi, D. M. Solís, S. Yin, N. Engheta, and A. Alú, Electrodynamics of photonic temporal interfaces, Light Sci. Appl. 14, 338 (2025).
- M. S. Nikoo, A. Jafari, N. Perera, M. Zhu, G. Santoruvo, and E. Matioli, Nanoplasma-enabled picosecond switches for ultrafast electronics, Nature (London) 579, 534 (2020).
- See Supplemental Material at http://link.aps.org/supplemental/10.1103/j1t6-8vl3 for a detailed derivation of the analytical results and for a video showing the simulated time evolution of the fields.
- A. P. Kiselev and M. V. Perel, Highly localized solutions of the wave equation, J. Math. Phys. 41, 1934 (2000).
- M. V. Perel and M. S. Sidorenko, New physical wavelet 'Gaussian wave packet,' J. Phys. A: Math. Theor. 40, 3441 (2007).
- M. S. bin Roslan, M. A. Agam, S. Z. R. Haider, and M. H. Jameel, Nanoplasma generation by ultrashort pulse laser, in Plasma at the Nanoscale, Micro and Nano Technologies, edited by H. Song, T. A. Nguyen, A. Amrane, A. Amine Assadi, and G. Yasin (Elsevier, New York, 2022), Chap. 8, pp. 191–206.
