This book presents an authoritative treatment of electromagnetic waves and develops complex space source theory as a branch of Fourier Optics.Including an essential background discussion of the many applications and drawbacks for paraxial beams, the book treats the exact full-wave generalizations of all the basic types of paraxial beam solutions and develops complex space source theory as a branch of Fourier Optics. It introduces and carefully explains original analytical techniques, including a treatment of both partially coherent and partially incoherent waves and of the newly developing area of Airy beams and waves.The book will be of interest to graduate students in applied physics, electrical engineering and applied mathematics, teachers and researchers in the area of electromagnetic wave propagation and specialists in mathematical methods in electromagnetic theory.