Preface -- Author biography -- Theory of optical propagation and diffraction -- The Helmholtz equations -- The integral theorem of Helmholtz and Kirchhoff -- The Rayleigh-Sommerfeld formulation of diffractionFourier analysis and linear systems -- Fourier transforms and Fourier analysis -- Fourier analysis in two dimensions -- Fourier transform theorems -- Separable functions -- Useful functions and Fourier transform pairs -- Linear systemsFresnel and Fraunhofer diffraction and wave optics -- Diffraction at the boundary of an aperture -- The Fresnel approximation -- Fresnel diffraction calculations -- The Fraunhofer approximationFourier transforms and optics -- Fourier transforming properties of lenses -- Coherence and Fourier transforming -- Monochromatic image formationImaging systems and aberrations -- Coherent image formation and the amplitude transfer function -- Incoherent image formation and the optical transfer function -- Aberrations and their effects -- ResolutionEnabling applications -- Manipulating light -- Incoherent optical processing -- Optical coherence tomography -- Optical testing -- Optical information processing -- Spatial filtering and propagation -- Spatial filters -- Optical correlatorsPractical applications -- Pattern recognition and encoding -- Image hiding and image encryption -- Image processing and restoration -- Holography -- Fourier optics in optical communications