Solutions of the Helmholtz equation given by solutions of the eikonal equation

G. F. Torres del Castillo, Iraís Rubalcava-García

We find the form of the refractive index such that a solution, $S$, of the eikonal equation yields an exact solution, $\exp (\mathrm{i}{k}_{0}S)$, of the corresponding Helmholtz equat…