Transmission properties of time-dependent one-dimensional metamaterials
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Date
2023-12-01
Publication Type
Journal Article
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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.
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published
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64 (12)
Pages / Article No.
121502
Publisher
American Institute of Physics
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Subject
Bloch wave; Band gap; Metamaterials; Crystal structure; Materials properties; Numerical methods; Asymptotic analysis; Partial differential equations; Subwavelength imaging; Quantum mechanical systems and processes
Organisational unit
09504 - Ammari, Habib / Ammari, Habib
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