A new method for the design of antireflection coatings is described in which a linearly constrained quadratic programming optimization procedure is used to find an inhomogeneous layer solution that, for a given overall thickness of the layer, corresponds to the global optimum for the problem. The refractive-index profile of this solution is then approximated by a two-material multilayer system that serves as a starting design for further numerical refinement. We present the theoretical basis for this method and discuss the effect of the various approximnations made on the solution. Four different antireflection problems are solved to illustrate this new method.

© 1993 Optical Society of America

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