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"The synergism between the World Wide Web and fiber optics is a familiar story to researchers of digital communications. Fibers are the enablers of the rates of information flow that make the Internet possible. Currently transoceanic optical fiber cables transmit data at rates that could transfer the contents of a respectable university library in a few minutes. No other medium is capable of this rate of transmission at such distances.With the maturing of mobile portable telephony and the emerging broadband access market, greater fiber transmission capacity will be essential in the early 21st century. Since the demand for more capacity drives the development of new optics-based technologies, fiber optics therefore remains a vibrant area for research. Knowing that the basic fiber optic technology is mature means that open questions are more sharply focused and permit deeper mathematic content."

"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."