Maxwell's Equations in Periodic Structures

The book discusses recent developments in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell's equations in periodic structures, with significant applications in optics and electromagnetics. It provides introductory materials and in-depth discussion for students and researchers in applied and computational mathematics, engineering, and diffractive optics.

Format: Paperback / softback
Length: 355 pages
Publication date: 07 October 2022
Publisher: Springer Verlag, Singapore

This comprehensive book delves into the latest advancements in mathematical analysis and computational techniques for tackling direct and inverse problems associated with Maxwell's equations in periodic structures. The significance of these fields is evident, as they have profound implications in technology, with significant applications in optics and electromagnetics. The book offers a comprehensive treatment, encompassing both introductory materials and in-depth discussions of the areas in diffractive optics that present rich and intricate mathematical challenges. Furthermore, its primary objective is to disseminate the most recent results to students, researchers, and practitioners in applied and computational mathematics, engineering, and related fields.

The book begins by providing a foundational overview of the theoretical framework and mathematical tools required to address these problems. It then delves into specific applications, such as imaging, metamaterials, and optical communication systems, where Maxwell's equations play a central role. Each chapter is accompanied by detailed examples and exercises to reinforce the concepts and facilitate a better understanding of the subject matter.

One of the key strengths of the book is its emphasis on computational methods. The authors have developed efficient algorithms and software tools that enable the solution of complex Maxwell's equations on modern computing platforms. This makes the book particularly valuable for researchers and practitioners who require practical solutions to real-world problems.

In addition to its technical content, the book also provides a comprehensive discussion of the theoretical foundations and physical principles underlying the studied phenomena. This theoretical background is essential for developing a deep understanding of the mathematical models and algorithms employed in the book.

Overall, this book is a valuable resource for students, researchers, and practitioners interested in mathematical analysis and computational methods for solving direct and inverse problems for Maxwell's equations in periodic structures. Its comprehensive coverage, practical insights, and up-to-date research make it an essential tool for anyone working in this field.

Weight: 563g
Dimension: 235 x 155 (mm)
ISBN-13: 9789811600630
Edition number: 1st ed. 2022