Waveguiding Fresnel Lenses: Modelling and Fabrication

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Abstract
This paper examines the methods, problems and results of modelling Fresnel lenses, and the progress towards fabricating experimental devices that has resulted from these evaluations. The computer model used ray-tracing through phase-weighted two-dimensional Fresnel lenses overlaid onto optical waveguide structures. Several types of lenses were considered, digital phase shift, analogue and photolithographically optimized forms being selected for particular study. The evaluation was directed to determining the effect on performance of changes in dimensions, selected focal length and materials. Negative form lens structures were included, as were a range of fabrication methodologies, so that substrate anisotropy and overlayer refractive index were necessarily surveyed. The lens fabrication will ultimately employ three main technologies: dilute-melt proton-exchange in LiNbO3, GaAlAs and Nb2O5 layers as the guiding films, with lens overlays in a range of deposited films with refractive indices up to 3·85. We report preliminary experimental results leading towards such lenses. For a typical lens, aberration and optical power transfer efficiency were measured and examined in relation to the expected coupling efficiency of the lens overlay to the optical waveguide (the ‘overlap’ integral).