Mathematical Modeling in Optical Science (Frontiers in Applied Mathematics, Series Number 22)

This volume addresses recent developments in mathematical modeling in three areas of optical science: diffractive optics, photonic band gap structures, and waveguides. Particular emphasis is on the formulation of mathematical models and the design and analysis of new computational approaches. The book contains cutting-edge discourses on emerging technology in optics that provides significant challenges and opportunities for applied mathematicians, researchers, and engineers. Each of the three topics is presented through a series of survey papers to provide a broad overview focusing on the mathematical models. Chapters present model problems, physical principles, mathematical and computational approaches, and engineering applications corresponding to each of the three areas. Although some of the subject matter is classical, the topics presented are new and represent the latest developments in their respective fields.

Gang Bao is Professor in the Department of Mathematics at Michigan State University, East Lansing, Michigan.

Lawrence Cowsar is Technical Manager, Optical Fiber Design and Simulation Tools Group, Bell Laboratories, Lucent Technologies in Murray Hill, New Jersey.

Wen Masters is Deputy Division Director of the Math, Computer and Information Sciences Division at the Office of Naval Research in Arlington, Virginia.