This book explores the possibility of using azimuthal Walsh filters as an effective tool for manipulating far-field diffraction
characteristics near the focal plane of rotationally symmetric imaging systems. It discusses the generation and synthesis
of azimuthal Walsh filters, and explores the inherent self-similarity presented in various orders of these filters, classifying
them into self-similar groups and sub-groups. Further, it demonstrates that azimuthal Walsh filters possess a unique rotational
self-similarity exhibited among adjacent orders. Serving as an atlas of diffraction phenomena with pupil functions represented
by azimuthal Walsh filters of different orders, this book describes how orthogonality and self-similarity of these filters
could be harnessed to sculpture 2D and 3D light distributions near the focus.