Аннотация:A series of antireflection coating designs for the 0.4 to 0.8 micrometers spectral region for a substrate of refractive index 1.52 are found by the Quadratic Problem Approximation method. This procedure yields optimal or near-optimal solutions. Parameters varied are the overall optical thickness of the systems and the acceptable ranges of the refractive indices of the coating materials. The calculated merit functions of inhomogeneous layer solutions and of homogeneous multilayer solutions before and after refinement are compared with the quadratic programming merit function.