2017/10/24 by Hoài-Minh Nguyên, Nguyen, Hoai-Minh, Valentin Vinoles +1
Engineering · Mathematics · Physics and Astronomy · #35B34 #35B35 #35B40 #35J05 #78A25 #78M35 #Advanced Mathematical Physics Problems #Analysis of PDEs (math.AP) #Electromagnetic Simulation and Numerical Methods #FOS: Mathematics #FOS: Physical sciences #Mathematical Physics (math-ph) #Nonlinear Photonic Systems
paper · pdf · doi:10.48550/arxiv.1710.08648
openalex publication_date 2017/10/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We establish the well-posedness, the finite speed propagation, and a\nregularity result for Maxwell's equations in media consisting of dispersive\n(frequency dependent) metamaterials. Two typical examples for such\nmetamaterials are materials obeying Drude's and Lorentz' models. The causality\nand the passivity are the two main assumptions and play a crucial role in the\nanalysis. It is worth noting that by contrast the well-posedness in the\nfrequency domain is not ensured in general. We also provide some numerical\nexperiments using the Drude's model to illustrate its dispersive behaviour.\n