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4 produkter
4 produkter
2 311 kr
Skickas inom 5-8 vardagar
Special functions are essential for solving problems in virtually all engineering disciplines. Assuming only knowledge of elementary calculus and differential equations, this concise, clearly written reference illustrates the properties and applications of the special functions most frequently needed by practising engineers. Copious illustrations of worked out sample problems from a wide range of real-world engineering applications distinguish this work from others.
687 kr
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Integral transform methods provide effective ways to solve a variety of problems arising in the engineering, optical and physical sciences. This concise, easy-to-follow reference text introduces the use of integral transforms, with a detailed discussion of the widely applicable Laplace and Fourier transforms. It is suitable as a self-study for practising engineers and applied mathematics, as well as a textbook for students in graduate-level courses in optics, engineering sciences, physics and mathematics. In most sections, applications relevant to engineers and applied scientists are used in place of formal proofs. Numerous examples, exercise sets, illustrations and tables enhance the book's usefulness as a teaching tool and reference.
895 kr
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This research monograph is a companion edition and update to the book: L. C. Andrews and R. L. Phillips, Laser Beam Propagation through Random Media, 2nd edition (SPIE Press, 2005). We present several new and advanced topics that have emerged during the years since the 2005 title was published. Much of the new material is compared throughout the text with experimental and computer simulation data. This comparison includes beam wander and its effect on a propagating laser beam, including beam-wander-induced scintillation. Other additions include an assessment of conventional probability density function (PDF) models for the irradiance after passing through a finite receiver aperture. New mathematical models for enhanced backscatter are introduced here, including extension to strong fluctuation regimes and semi-rough targets. In recent years, scientists have found experimental evidence that non-Kolmogorov and anisotropic conditions may occur even along horizontal propagation paths near the ground. We include a chapter on these important topics that presents a detailed treatment involving both non-Kolmogorov and anisotropic models. The book ends with a chapter devoted to the discussion of commonly used instruments for measuring atmospheric parameters like the refractive-index structure parameter, inner scale, temperature, wind speed, heat flux, and so forth.
Engineering Approach to Asymptotics and Approximations
With Applications in Optical Wave Propagation and Imaging in Turbulence
Häftad, Engelska, 2025
988 kr
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The objective of this textbook is twofold—to introduce advanced novel mathematical techniques and then to use them to solve a variety of problems that may arise in various applications. The novel mathematical techniques, covered in Part I of the text, involve the use of generalized hypergeometric functions, including the Meijer G-function. We first present an introduction to asymptotic analysis for both small and large arguments of special functions and then use these asymptotic expressions to develop accurate algebraic approximations for generalized hypergeometric functions. In Part II we apply these novel mathematical techniques to a number of problems in electromagnetic wave propagation, imaging through atmospheric turbulence, and non-Kolmogorov turbulence. The idea is to present the mathematical details that are often missing in the literature in the development of various statistical models in these application areas and to introduce new methods for solution of the challenging equations that result from optical turbulence. In many cases we present exact results followed by accurate algebraic approximations. All required mathematical identities and integrals are presented in five appendices at the end of the text. In writing this text, the authors have tried to present the material in sufficient detail to reach an audience with limited knowledge of the subjects covered. To aid the reader in this regard, the text comprises a large number of worked examples in most chapters.