1. Basic equations of diffractive nanophotonics -- 2. Numerical methods for diffraction theory -- 3. Diffraction on cylindrical inhomogeneities comparable to the wavelength -- 4. Modelling of periodic diffractive micro and nanostructures -- 5. Photonic crystals and light focusing -- 6. Photonic crystal fibres -- 7. Singular optics and superresolution -- 8. Optical trapping and manipulation of micro- and nano-objects.