Nirdosh Chapagain, Brigham Young University
Mathematical Sciences
Rainbow is an optical phenomenon created by reflection and refraction of light at the boundaries of water droplets. Descartes was the first to provide a geometric explanation for the optics of the rainbow. We use Descartes’ method to examine if rainbow effect is possible with metamaterial droplets. Metamaterials are artificial materials whose permittivity and permeability can be simultaneously negative hence, giving them negative index of refraction for certain frequencies. The recent extraordinary level of output in the field of metamaterials has resulted in examinations of applications of these substances to a variety of fields, including the arrow of time and cloaking. Many applications of metamaterials can create physical effects that were previously assumed impossible. In this study we have considered that our hypothetical droplet has negative refractive index for visible band of the electromagnetic spectrum. We also examine the effect of using composite metamaterial droplets.