Transmission properties of time-dependent one-dimensional metamaterials
arXiv:2301.09983 · doi:10.1063/5.0143778
Abstract
We solve the wave equation with periodically time-modulated material parameters in a one-dimensional high-contrast resonator structure in the subwavelength regime exactly, for which we compute the subwavelength quasifrequencies numerically using Muller's method. We prove a formula in the form of an ODE using a capacitance matrix approximation. Comparison of the exact results with the approximations reveals that the method of capacitance matrix approximation is accurate and significantly more efficient. We prove various transmission properties in the aforementioned structure and illustrate them with numerical simulations. In particular, we investigate the effect of time-modulated material parameters on the formation of degenerate points, band gaps and k-gaps.
arXiv comment23 pages, 11 figures
References in corpus (8)
- Possible Realization of Directional Optical Waveguides in Photonic Crystals with Broken Time-Reversal Symmetry
- Analogs of quantum Hall effect edge states in photonic crystals
- Photonics of Time-Varying Media
- Topologically protected edge modes in one-dimensional chains of subwavelength resonators
- A mathematical theory of super-resolution by using a system of sub-wavelength Helmholtz resonators
- Mathematical theory for topological photonic materials in one dimension
- Functional analytic methods for discrete approximations of subwavelength resonator systems
- Time-dependent high-contrast subwavelength resonators