An x-ray or neutron apparatus for the transmission of x-ray or neutron images is described, which includes x-ray- or neutron-three-dimensional (3-D) arrays or mosaics, including a plurality of x-ray or neutron lenses positioned so that they form a two-dimensional (2-D) mosaic of compound refractive lenses to provide a plurality of separate x-ray or neutron paths between an object and an image at an x-ray- or neutron-detector. The apparatus is so constructed that it permits separate parts of an object to be imaged such that a total composite image is formed from these various parts. An imaging apparatus of the detection of carcinoma in breast tissue is formed using such an apparatus. Methods of microscopy and imaging are obtained using this apparatus.