Mathematical Methods in Science and Engineering: Applications in Optics and Photonics helps students build a conceptual appreciation for critical mathematical methods, as well as the physical feel and intuition for select mathematical ideas. Throughout the text, examples are provided from the field of optics and photonics to clarify key concepts. The book features 13 targeted chapters that begin with a brief introduction to the topical area and then dive directly into the subject matter. Students learn about properties of numbers, methods of mathematical reasoning, Euclidean geometry, the fundamentals of complex number theory, and techniques to deal with finite as well as infinite sums and products. Dedicated chapters speak to key concepts of multivariate calculus, the properties of analytic functions of a complex variable, Fourier transformation, methods of solving partial differential equations, the Sturm-Liouville theory, and special functions, including Euler's gamma function, Riemann's zeta function, and the Airy and Bessel functions. Elementary matrix algebra, vector calculus, and probability, random variables, and stochastic processes are addressed. Mathematical Methods in Science and Engineering is well suited for graduate-level courses in optical sciences, physics, and engineering.

Covering a broad range of fundamental topics in classical optics and electro-magnetism, this book is ideal for graduate-level courses in optics, providing supplementary reading materials for teachers and students alike. Industrial scientists and engineers developing modern optical systems will also find it an invaluable resource. Now in color, this second edition contains 13 new chapters, covering optical pulse compression, the Hanbury Brown-Twiss experiment, the Sagnac effect, Doppler shift and stellar aberration, and optics of semiconductor diode lasers. The first half of the book deals primarily with the basic concepts of optics, while the second half describes how these concepts can be used in a variety of technological applications. Each chapter is concerned with a single topic, developing an understanding through the use of diagrams, examples, numerical simulations, and logical arguments. The mathematical content is kept to a minimum to provide the reader with insightful discussions of optical phenomena.