Abstract
In the framework of geometrical optics we consider a two-dimensional transparent inhomogeneous isotropic medium (dispersive or not). We show that (i) for any family belonging to a certain class of planar monoparametric families of monochromatic light rays given in the form of any definite color and satisfying a differential condition, all the refractive index profiles allowing for the creation of the given family can be found analytically (inverse problem) and that (ii) for any member of a class of two-dimensional refractive index profiles satisfying a differential condition, all the compatible families of light rays can be found analytically (direct problem). We present appropriate examples.
© 2006 Optical Society of America
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