Simulation of Wave Propagation in a Kerr-Type Nonlinear Metamaterial Cylindrical Wave-Guide by Auxiliary Differential Equation Finite Difference Time Domain Method Моделювання поширення хвиль у циліндричному хвилеводі з нелінійного метаматеріалу типу Керра за допомогою методу скінченних різниць у часовій області допоміжних диференціальних рівнянь
Journal of Nano- and Electronic Physics, vol.18, no.2, 2026 (Scopus)
- Publication Type: Article / Article
- Volume: 18 Issue: 2
- Publication Date: 2026
- Doi Number: 10.21272/jnep.18(2).02004
- Journal Name: Journal of Nano- and Electronic Physics
- Journal Indexes: Scopus, Directory of Open Access Journals
- Keywords: Auxiliary differential equation, Cylindrical waveguide, Finite difference time domain, Kerr nonlinearity, Metamaterial
- Eskisehir Osmangazi University Affiliated: Yes
Abstract
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 properties 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.