The Mathematical Theory Of Huygens Principle
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The Mathematical Theory Of Huygens Principle
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Author : Bevan B. Baker
language : en
Publisher: American Mathematical Soc.
Release Date : 2003
The Mathematical Theory Of Huygens Principle written by Bevan B. Baker and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2003 with Mathematics categories.
Baker and Copson originally set themselves the task of writing a definitive text on partial differential equations in mathematical physics. However, at the time, the subject was changing rapidly and greatly, particularly via the developments coming from quantum mechanics. Instead, the authors chose to focus on a particular area of the broad theory, producing a monograph complete in itself. The resulting book deals with Huygens' principle in optics and its application to the theory of diffraction. Baker and Copson concern themselves with the general theory of the solution of the PDEs governing the propagation of light. Extensive use is made of Green's method. A chapter is dedicated to Sommerfeld's theory of diffraction, including diffraction of polarized light by a perfectly reflecting half-plane and by a black half-plane. New material was added for subsequent editions, notably Rayleigh's method of integral equations to the problem of diffraction by a planar screen. Some of the simpler diffraction problems are discussed as examples. Baker and Copson's book quickly became the standard reference on the subject of Huygens' principle. It remains so today.
The Mathematical Theory Of Huygens Principle
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Author : Bevan B. Baker
language : en
Publisher:
Release Date : 1988
The Mathematical Theory Of Huygens Principle written by Bevan B. Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1988 with categories.
The Mathematical Theory Of Huygens Principle
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Author : Bevan Braithwaite Baker
language : en
Publisher:
Release Date : 1969
The Mathematical Theory Of Huygens Principle written by Bevan Braithwaite Baker and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1969 with Diffraction categories.
Huygens Principle 1690 1990
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Author : Hedzer A. Ferweda
language : en
Publisher:
Release Date : 1992
Huygens Principle 1690 1990 written by Hedzer A. Ferweda and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Science categories.
Christiaan Huygens (1629-1695) wrote his famous treatise Traite de la Lumiere, 300 years ago. Today, his wave principle continues to play an important role in the understanding of wave phenomena. anniversary of the publication of his treatise. topics to which the Principle applies. Subjects covered include the historical background, geometrical optics, ray and field theory, the mathematical analysis of wave propagation, quantum electronics and nonlinear optics.
Lenses And Waves
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Author : Fokko Jan Dijksterhuis
language : en
Publisher: Springer Science & Business Media
Release Date : 2006-01-20
Lenses And Waves written by Fokko Jan Dijksterhuis and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-01-20 with Science categories.
In 1690, Christiaan Huygens (1629-1695) published Traité de la Lumière, containing his renowned wave theory of light. It is considered a landmark in seventeenth-century science, for the way Huygens mathematized the corpuscular nature of light and his probabilistic conception of natural knowledge. This book discusses the development of Huygens' wave theory, reconstructing the winding road that eventually led to Traité de la Lumière. For the first time, the full range of manuscript sources is taken into account. In addition, the development of Huygens' thinking on the nature of light is put in the context of his optics as a whole, which was dominated by his lifelong pursuit of theoretical and practical dioptrics. In so doing, this book offers the first account of the development of Huygens' mathematical analysis of lenses and telescopes and its significance for the origin of the wave theory of light. As Huygens applied his mathematical proficiency to practical issues pertaining to telescopes – including trying to design a perfect telescope by means of mathematical theory – his dioptrics is significant for our understanding of seventeenth-century relations between theory and practice. With this full account of Huygens' optics, this book sheds new light on the history of seventeenth-century optics and the rise of the new mathematical sciences, as well as Huygens' oeuvre as a whole. Students of the history of optics, of early mathematical physics, and the Scientific Revolution, will find this book enlightening.
Huygens The Man Behind The Principle
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Author : C. D. Andriesse
language : en
Publisher: Cambridge University Press
Release Date : 2005-08-25
Huygens The Man Behind The Principle written by C. D. Andriesse and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005-08-25 with Biography & Autobiography categories.
Huygens: The Man Behind the Principle is the story of the great seventeenth-century Dutch mathematician and physicist, Christiaan Huygens (1629-1695). As the first complete biography ever written this book describes in detail how Huygens arrived at discoveries and inventions that are often wrongly ascribed to Newton. Huygens played a key role in the 'scientific revolution', and the Huygens Principle on the wave theory of light helped establish his reputation. The discovery of Saturn's rings and the invention of the pendulum clock made him so famous that he was invited to be the first director of the French Academy of Science, but his life as director teetered on the edge of powerlessness. Despite Huygens' many achievements no complete biography has previously been published in English. This book gives scientists and historians the opportunity to learn more about all aspects of Huygens' life while bringing his story to a wider audience.
Huygens Principle And Hyperbolic Equations
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Author : Gunther Paul
language : en
Publisher: Academic Press
Release Date : 2014-07-14
Huygens Principle And Hyperbolic Equations written by Gunther Paul and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-07-14 with Mathematics categories.
Huygens' Principle and Hyperbolic Equations is devoted to certain mathematical aspects of wave propagation in curved space-times. The book aims to present special nontrivial Huygens' operators and to describe their individual properties and to characterize these examples of Huygens' operators within certain more or less comprehensive classes of general hyperbolic operators. The materials covered in the book include a treatment of the wave equation for p-forms over a space of constant sectional curvature, the Riesz distributions, the Euler-Poisson-Darboux-equations over a Riemannian manifold, and plane wave manifolds. Physicists will find the book invaluable.
University Physics
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Author : OpenStax
language : en
Publisher:
Release Date : 2016-11-04
University Physics written by OpenStax and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-11-04 with Science categories.
University Physics is a three-volume collection that meets the scope and sequence requirements for two- and three-semester calculus-based physics courses. Volume 1 covers mechanics, sound, oscillations, and waves. Volume 2 covers thermodynamics, electricity and magnetism, and Volume 3 covers optics and modern physics. This textbook emphasizes connections between between theory and application, making physics concepts interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. Frequent, strong examples focus on how to approach a problem, how to work with the equations, and how to check and generalize the result. The text and images in this textbook are grayscale.
Wave Propagation And Diffraction
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Author : Igor T. Selezov
language : en
Publisher: Springer
Release Date : 2017-09-05
Wave Propagation And Diffraction written by Igor T. Selezov and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-09-05 with Science categories.
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
A History Of The Mathematical Theory Of Probability From The Time Of Pascal To That Of Laplace
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Author : Isaac Todhunter
language : en
Publisher:
Release Date : 1865
A History Of The Mathematical Theory Of Probability From The Time Of Pascal To That Of Laplace written by Isaac Todhunter and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1865 with Probabilities categories.