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.
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.
Covers both mathematical analysis and computational techniques for solving direct and inverse problems Addresses recent significant developments as near field imaging, nonlinear optics, and optimal design problem Presents preliminary materials for students on diffraction problems in periodic structures and variational formulation
Gang Bao
Maxwell’s Equations Diffractive Optics Boundary Value Problems Variational Problems Finite Element Method Well-posedness Inverse Scattering
“The book is addressed to anybody working in the area of electromagnetic field computation of periodic structures, which is the back bone of modern optics.” (Mircea Dragoman, optica-opn.org, June 16, 2022)
“The book is quite interdisciplinary in nature and provides a balance between analytical and numerical methods. Plenty of references are provided as well.” (Eric Stachura, zbMATH 1484.35001, 2022)