2022/11/01 by Alfred Potier, Potier, Alfred, Edward F. Kuester +1
Computer Science · #Advanced Mathematical Modeling in Engineering #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #History and Philosophy of Physics (physics.hist-ph) #Optics (physics.optics)
paper · pdf · doi:10.48550/arxiv.2211.02568
openalex publication_date 2022/11/01 · openalex created_date 2022/11/12 · openalex updated_date 2026/07/28
This is an English translation of a paper by the French physicist Alfred Potier (1840-1905) that originally appeared 150 years ago [A. Potier, ``Recherches sur l'intégration d'un système d'équations aux différentielles partielles à coefficients périodiques,'' Comptes Rendus de l'Association Française pour l'Avancement des Sciences (Bordeaux), vol. 1, pp. 255-272 (1872)]. The paper presents an analysis of wave propagation through a periodic medium by a method that in many ways anticipated the technique of multiple-scale homogenization by more than a century.