Photonic crystal (PhC) lenses with negative refractive index have attracted intense interest because of their application in optical frequencies. In this paper, two-dimensional PhC lenses with a triangular lattice of cylindrical holes in dielectric material are investigated. Various physical parameters of the lens are introduced, and their effects on the lens response are studied in detail. The effect of the surface termination is investigated by analyzing the power flux within the PhC structure. A new lens formula has been obtained that shows a linear relation between the source distance (distance between the source and the lens) and the image distance (distance between the image and the lens) for any surface termination of the PhC lens. It is observed that the excitation of surface waves does not necessarily pull the image closer to the lens. The effects of the thickness and the lateral width of the lens are also analyzed.
© 2012 Optical Society of AmericaPDF Article