Nanostructured Antireflections Layers (NALs) are a promising substitute for conventional antireflection layers. In the nature, such structures have long existed on insects’ eyes. Here, we have derived a general form of mathematical relation that generates a profile close to that of surface of a Moth’s eye. By properly designing NALs over dielectric, light has been efficiently transmitted through our high index nanostructures with minimal reflection. The parameters determining the transmission efficiency are the pitch and the profile of the periodic nanostructures. By optimizing the profile, we have designed NALs with transmission reaching 100%. Our periodic structures have minimal dependence on the pitch. This makes it possible to fabricate NALs with the very broadband transmission, without inducing diffraction to lower wavelengths of the transmitted light. Also, our periodic NALs make it possible to transmit laser lights without scattering.
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