A secure lens sheet or layer suitable for use in a micro-optic system, which is made up of a plurality of joined fine lens arrays (e.g., joined fine lenticular and/or joined fine non-cylindrical lens arrays), is provided. Each array has a lens pitch different from adjacent or contiguous arrays and/or is orientated in a direction different from adjacent or contiguous arrays. A micro-optic security device, which utilizes the inventive secure lens sheet and one or more overlying or underlying arrangements of micro-sized image icons (e.g., line data), is also provided. The image icon arrangement(s) and the secure lens layer are configured such that one or more synthetic images are projected by the security device. These projected images may show a number of different optical effects. With such a combination lens layer, some regions could be optically active when the device is tilted in one direction, some could be active when tilted in the opposite direction, and some areas could be active when the device is tilted in either (or any) direction. The inventive micro-optic security device may be partially embedded in and/or mounted on a surface of a security article (e.g., paper or polymer security document, label, card), or integrated therein.