This book addresses recent developments in mathematical analysis and
computational methods for solving direct and inverse problems for
Maxwell's equations in periodic structures. The fundamental importance
of the fields is clear, since they are related to technology with
significant applications in optics and electromagnetics. The book
provides both introductory materials and in-depth discussion to the
areas in diffractive optics that offer rich and challenging mathematical
problems. It is also intended to convey up-to-date results to students
and researchers in applied and computational mathematics, and
engineering disciplines as well.