Simulation of Wave Propagation in a Kerr-Type Nonlinear Metamaterial Cylindrical Wave-Guide by Auxiliary Differential Equation Finite Difference Time Domain Method
| Authors | A.Yalçınkaya1, A. Çetin2 |
| Affiliations |
1Eskişehir Osmangazi University, Graduate School of Natural and Applied Sciences, Eskişehir, Turkiye 2Eskişehir Osmangazi University, Faculty of Science, Meşelik Kampüsü, Eskişehir, Turkiye |
| Е-mail | 501320201001@ogrenci.ogu.edu.tr |
| Issue | Volume 18, Year 2026, Number 2 |
| Dates | Received 03 February 2026; revised manuscript received 18 April 2026; published online 29 April 2026 |
| Citation | A.Yalçınkaya, A. Çetin, J. Nano- Electron. Phys. 18 No 2, 02004 (2026) |
| DOI | https://doi.org/10.21272/jnep.18(2).02004 |
| PACS Number(s) | 42.25.Bs, 42.65.Wi, 42.81.Qb |
| Keywords | Metamaterial (2) , Cylindrical waveguide, Kerr nonlinearity, Finite difference time domain, Auxiliary differential equation. |
| Annotation |
Propagation of electromagnetic waves and mode formation in a cylindrical waveguide with double negative metamaterial core having Kerr type nonlinearity is investigated in this study using auxiliary differential equation finite difference time domain method. Propagation in one-dimensional, two-dimensional, and three-dimensional configurations are explored, and the interaction of properties relevant to dispersion, non-linearity and cylindrical structure is highlighted emphasizing its influence on mode behavior. Discretized equations presented in the paper are different from all the equations presented in previous finite difference time domain-based research and relevant literature. The novel application used in this work for investigating wave dynamics in a cylindrical core of completely double negative metamaterial showed new findings. Backward wave propagation and self-focusing nonlinear modes are observed due to double negative proper-ties and Kerr effect as expected. The results are expected to enhance research on nonlinear fiberoptics and attract attention to metamaterials and how the effect of losses is observed in metamaterial waveguides. |
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