This book deals with the fundamental aspects of electromagnetic field theory in chiral media in the frequency domain. All such aspects are covered: field equations, constitutive equations, integral equations and representations, Green's functions, radiation, reciprocity relations, and equivalence and duality relations. Scattering of waves by chiral spheres and cylinders are covered, and layered chiral media are examined. This book is timely both for theorists and experimentalists. Theorists can build upon the work to discover and predict new phenomena, while experimentalists may use it to design clever experiments and construct artificially chiral materials.