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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.
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