2011/12/12 by Fabrice Lemoult, Mathias Fink, Lemoult, Fabrice +3
Engineering · Physics and Astronomy · #Acoustic Wave Phenomena Research #Advanced Antenna and Metasurface Technologies #Electromagnetic Simulation and Numerical Methods #FOS: Physical sciences #Microwave Engineering and Waveguides #Model Reduction and Neural Networks #Optics (physics.optics) #Photonic Crystals and Applications #physics.optics
paper · pdf · doi:10.48550/arxiv.1112.2524
13 pages, 4 figures
arxiv created 2011/12/12 · openalex publication_date 2011/12/12 · arxiv updated 2011/12/13 · openalex created_date 2022/10/02 · openalex updated_date 2026/07/28
We study the propagation of waves in a quasi 1D homogeneous host medium filled with various resonators. We first prove that a far field coupling between the elements explains its dispersive nature. This coupling is interpreted as a Fano interference between the incoming wave and the waves re-radiated by each resonator, which experience a phase shift at resonance. We propose a simple formalism that gives the complete dispersion relation of the medium in terms of the far field response of a single resonator. We prove that our approach applies to and unifies various domains such as metamaterials, hybridization band gap materials and designer's plasmons. Finally we show that those media, spatially random or organized on a scale larger than the wavelength, also present very interesting properties, which broadens the range of man made exotic materials.