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Optimum Solutions to Single-Band Normal Incidence Antireflection Coating Problems

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Abstract

Antireflection coatings have been the subject of two books and of numerous scientific and technical papers.1,2 until recently, there have been no systematic studies made to determine the optimum performance that can be achieved for a given set of specifications and coating materials. Willey has published two papers with empirical studies of this problem.3,4 He has presented equations which, for a given set of coating materials and for an overall thickness of the multilayers, give an estimate of the lowest achievable reflectance for a normal incidence antireflection. The two equations presented by Willey are valid for a certain range of coating materials, widths of the spectral region and overall thicknesses of the multilayer. They are based on the calculated results obtained for a number of different examples . It will be shown in this paper that, whilst giving a good first estimate of the attainable results, the formulae are not accurate for any one set of coating materials.

© 1995 Optical Society of America

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