2018/06/01 by Gutierrez, Cristian E., Huang, Qingbo, Mawi, Henok
#35F25 #35J60 #35Q60 #52A20 #78A05 #78A46 #82D25 #Analysis of PDEs (math.AP) #FOS: Mathematics #FOS: Physical sciences #Materials Science (cond-mat.mtrl-sci) #Mathematical Physics (math-ph) #Optics (physics.optics)
paper · doi:10.48550/arxiv.1806.00371
We show existence of interfaces between two anisotropic materials so that light is refracted in accordance with a given pattern of energy. To do this we formulate a vector Snell law for anisotropic media when the wave fronts are given by norms for which the corresponding unit spheres are strictly convex.