Wavefronts And Rays

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The Optics of Rays, Wavefronts, and Caustics

Author : O Stavroudis
Publisher : Elsevier
ISBN 13 : 0323155553
Total Pages : 333 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis The Optics of Rays, Wavefronts, and Caustics by : O Stavroudis

Download or read book The Optics of Rays, Wavefronts, and Caustics written by O Stavroudis and published by Elsevier. This book was released on 2012-12-02 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Optics of Rays, Wavefronts, and Caustics presents the fundamental principles of geometrical optics and its unique role in modern technology. It also discusses the procedures used in optical design, which are based on geometrical optics. Organized into 16 chapters, this volume begins with an overview of the underlying general mathematical facts, which constitute the substance of geometrical optics. It then presents the various techniques used to solve the ray and wavefront problems in general inhomogeneous medium. Other chapters consider the concept of ray tracing as a tool for calculating the principal curvatures of a wavefront as it propagates through a lens. In addition, the book tackles several topics, including the aspects of lens design, as well as a system of equations that are similar to the Maxwell equations. The last chapter deals with orthotomic systems of rays. Optical designers, optical physicists, theoretical physicists, and mathematicians will find the information and methods in this book extremely useful.

Wavefronts and Rays as Characteristics and Asymptotics

Author : Andrej BÃ³na
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107820
Total Pages : 295 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Wavefronts and Rays as Characteristics and Asymptotics by : Andrej BÃ³na

Download or read book Wavefronts and Rays as Characteristics and Asymptotics written by Andrej BÃ³na and published by World Scientific Publishing Company. This book was released on 2011-05-09 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook — incorporated with many illuminating examples and exercises — is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors' emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation — by a pure mathematician's standards — is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and the phenomena such as caustics.

Wavefronts And Rays As Characteristics And Asymptotics (Third Edition)

Author : Andrej Bona
Publisher : World Scientific
ISBN 13 : 9811226482
Total Pages : 357 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Wavefronts And Rays As Characteristics And Asymptotics (Third Edition) by : Andrej Bona

Download or read book Wavefronts And Rays As Characteristics And Asymptotics (Third Edition) written by Andrej Bona and published by World Scientific. This book was released on 2020-09-24 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own.

Wavefronts and Rays as Characteristics and Asymptotics

Author : Andrej B¢na
Publisher : World Scientific
ISBN 13 : 9814295515
Total Pages : 295 pages
Book Rating : 4.8/5 (142 download)

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Book Synopsis Wavefronts and Rays as Characteristics and Asymptotics by : Andrej B¢na

Download or read book Wavefronts and Rays as Characteristics and Asymptotics written by Andrej B¢na and published by World Scientific. This book was released on 2011 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook ? incorporated with many illuminating examples and exercises ? is aimed at graduate students of physical sciences and engineering. The purpose is to provide a background of physics and underlying mathematics for the concept of rays, filling the gap between mathematics and physics textbooks for a coherent treatment of all topics. The authors' emphasis and extremely good presentation of the theory of characteristics, which defines the rays, accentuate the beauty and versatility of this theory. To this end, the rigour of the formulation ? by a pure mathematician's standards ? is downplayed to highlight the physical meaning and to make the subject accessible to a wider audience. The authors describe in detail the theory of characteristics for different types of differential equations, the applications to wave propagation in different types of media, and the phenomena such as caustics.

Wavefronts and Rays

Author : Andrej Bóna
Publisher :
ISBN 13 : 9789814651547
Total Pages : 342 pages
Book Rating : 4.6/5 (515 download)

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Book Synopsis Wavefronts and Rays by : Andrej Bóna

Download or read book Wavefronts and Rays written by Andrej Bóna and published by . This book was released on 2014 with total page 342 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Fringe 2013

Author : Wolfgang Osten
Publisher : Springer Science & Business Media
ISBN 13 : 3642363598
Total Pages : 975 pages
Book Rating : 4.6/5 (423 download)

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Book Synopsis Fringe 2013 by : Wolfgang Osten

Download or read book Fringe 2013 written by Wolfgang Osten and published by Springer Science & Business Media. This book was released on 2013-08-15 with total page 975 pages. Available in PDF, EPUB and Kindle. Book excerpt: In continuation of the FRINGE Workshop Series this Proceeding contains all contributions presented at the 7. International Workshop on Advanced Optical Imaging and Metrology. The FRINGE Workshop Series is dedicated to the presentation, discussion and dissemination of recent results in Optical Imaging and Metrology. Topics of particular interest for the 7. Workshop are: - New methods and tools for the generation, acquisition, processing, and evaluation of data in Optical Imaging and Metrology (digital wavefront engineering, computational imaging, model-based reconstruction, compressed sensing, inverse problems solution) - Application-driven technologies in Optical Imaging and Metrology (high-resolution, adaptive, active, robust, reliable, flexible, in-line, real-time) - High-dynamic range solutions in Optical Imaging and Metrology (from macro to nano) - Hybrid technologies in Optical Imaging and Metrology (hybrid optics, sensor and data fusion, model-based solutions, multimodality) - New optical sensors, imaging and measurement systems (integrated, miniaturized, in-line, real-time, traceable, remote) Special emphasis is put on new strategies, taking into account the active combination of physical modeling, computer aided simulation and experimental data acquisition. In particular attention is directed towards new approaches for the extension of existing resolution limits that open the gates to wide-scale metrology, ranging from macro to nano, by considering dynamic changes and using advanced optical imaging and sensor systems.

Rays, Waves, and Oscillations

Author : William Bolton
Publisher :
ISBN 13 :
Total Pages : 100 pages
Book Rating : 4.E/5 ( download)

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Book Synopsis Rays, Waves, and Oscillations by : William Bolton

Download or read book Rays, Waves, and Oscillations written by William Bolton and published by . This book was released on 1980 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rays - waves - electromagnetic waves - sound - oscillations___

Rays, Waves and Photons

Author : William L Wolfe
Publisher :
ISBN 13 : 9780750326131
Total Pages : 288 pages
Book Rating : 4.3/5 (261 download)

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Book Synopsis Rays, Waves and Photons by : William L Wolfe

Download or read book Rays, Waves and Photons written by William L Wolfe and published by . This book was released on 2020-09 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rays Waves and Photons is a history of the development of our knowledge of light and its many applications. Some forty different subjects are described historically including optical design, microscopes, cameras, spectacles, military, medical and fiber optics and lasers. Each has its own chapter and its own history.

Wavefronts and Rays as Characteristics and Asymptotics (Third Edition)

Author : Andrej Bona
Publisher : World Scientific Publishing Company
ISBN 13 : 9789811226465
Total Pages : 356 pages
Book Rating : 4.2/5 (264 download)

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Book Synopsis Wavefronts and Rays as Characteristics and Asymptotics (Third Edition) by : Andrej Bona

Download or read book Wavefronts and Rays as Characteristics and Asymptotics (Third Edition) written by Andrej Bona and published by World Scientific Publishing Company. This book was released on 2020-09-14 with total page 356 pages. Available in PDF, EPUB and Kindle. Book excerpt: Characteristics and asymptotics of partial differential equations play an important role in mathematical physics since they lead to insightful solutions of complex problems that might not be solvable otherwise. They constitute, however, a difficult subject, and the purpose of this book, with its additions and refinements that led to its third edition, is to present this subject in an accessible manner, without decreasing the rigor. As any method, characteristics and asymptotics have their limitations. This important issue is addressed in the last chapter, where we discuss caustics, which must be understood in applications of the method, and which constitute a fertile ground for further mathematical research. The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for senior undergraduate and graduate courses, as well as for independent studies. Six appendices are provided, which form a self-contained course on applied mathematics and can be used as a textbook on its own.

Waves and Rays

Author :
Publisher :
ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (225 download)

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Book Synopsis Waves and Rays by :

Download or read book Waves and Rays written by and published by . This book was released on 2007* with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Waves and Rays

Author : Open University. Images and Information Course Team
Publisher :
ISBN 13 :
Total Pages : 0 pages
Book Rating : 4.:/5 (137 download)

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Book Synopsis Waves and Rays by : Open University. Images and Information Course Team

Download or read book Waves and Rays written by Open University. Images and Information Course Team and published by . This book was released on 1977 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Waves And Rays In Elastic Continua (Fourth Edition)

Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9811226423
Total Pages : 680 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Waves And Rays In Elastic Continua (Fourth Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Elastic Continua (Fourth Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-09-24 with total page 680 pages. Available in PDF, EPUB and Kindle. Book excerpt: Seismology, as a branch of mathematical physics, is an active subject of both research and development. Its reliance on computational and technological advances continuously motivates the developments of its underlying theory. The fourth edition of Waves and Rays in Elastic Continua responds to these needs.The book is both a research reference and a textbook. Its careful and explanatory style, which includes numerous exercises with detailed solutions, makes it an excellent textbook for the senior undergraduate and graduate courses, as well as for an independent study. Used in its entirety, the book could serve as a sole textbook for a year-long course in quantitative seismology. Its parts, however, are designed to be used independently for shorter courses with different emphases. The book is not limited to quantitive seismology; it can serve as a textbook for courses in mathematical physics or applied mathematics.

Waves And Rays In Elastic Continua

Author : Michael A Slawinski
Publisher : World Scientific Publishing Company
ISBN 13 : 9813107677
Total Pages : 614 pages
Book Rating : 4.8/5 (131 download)

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Book Synopsis Waves And Rays In Elastic Continua by : Michael A Slawinski

Download or read book Waves And Rays In Elastic Continua written by Michael A Slawinski and published by World Scientific Publishing Company. This book was released on 2010-09-09 with total page 614 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book — which is the second, and significantly extended, edition of the textbook originally published by Elsevier Science — emphasizes the interdependence of mathematical formulation and physical meaning in the description of seismic phenomena. Herein, we use aspects of continuum mechanics, wave theory and ray theory to explain phenomena resulting from the propagation of seismic waves.The book is divided into three main sections: Elastic Continua, Waves and Rays and Variational Formulation of Rays. There is also a fourth part, which consists of appendices.In Elastic Continua, we use continuum mechanics to describe the material through which seismic waves propagate, and to formulate a system of equations to study the behaviour of such a material. In Waves and Rays, we use these equations to identify the types of body waves propagating in elastic continua as well as to express their velocities and displacements in terms of the properties of these continua. To solve the equations of motion in anisotropic inhomogeneous continua, we invoke the concept of a ray. In Variational Formulation of Rays, we show that, in elastic continua, a ray is tantamount to a trajectory along which a seismic signal propagates in accordance with the variational principle of stationary traveltime. Consequently, many seismic problems in elastic continua can be conveniently formulated and solved using the calculus of variations. In the Appendices, we describe two mathematical concepts that are used in the book; namely, homogeneity of a function and Legendre's transformation. This section also contains a list of symbols.

S. Chands Principle Of Physics -XII

Author : V. K Mehta & Rohit Mehta
Publisher : S. Chand Publishing
ISBN 13 : 8121917697
Total Pages : 1601 pages
Book Rating : 4.1/5 (219 download)

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Book Synopsis S. Chands Principle Of Physics -XII by : V. K Mehta & Rohit Mehta

Download or read book S. Chands Principle Of Physics -XII written by V. K Mehta & Rohit Mehta and published by S. Chand Publishing. This book was released on with total page 1601 pages. Available in PDF, EPUB and Kindle. Book excerpt: For Class XII Senior Secondary Certificate Examinations of C.B.S.E., other Boards of Education and various Engineering Entrance Examinations.

University Physics

Author : OpenStax
Publisher :
ISBN 13 : 9781680920451
Total Pages : 622 pages
Book Rating : 4.9/5 (24 download)

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Book Synopsis University Physics by : OpenStax

Download or read book University Physics written by OpenStax and published by . This book was released on 2016-11-04 with total page 622 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Rays, Waves, and Scattering

Author : John A. Adam
Publisher : Princeton University Press
ISBN 13 : 140088540X
Total Pages : 616 pages
Book Rating : 4.4/5 (8 download)

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Book Synopsis Rays, Waves, and Scattering by : John A. Adam

Download or read book Rays, Waves, and Scattering written by John A. Adam and published by Princeton University Press. This book was released on 2017-05-30 with total page 616 pages. Available in PDF, EPUB and Kindle. Book excerpt: This one-of-a-kind book presents many of the mathematical concepts, structures, and techniques used in the study of rays, waves, and scattering. Panoramic in scope, it includes discussions of how ocean waves are refracted around islands and underwater ridges, how seismic waves are refracted in the earth's interior, how atmospheric waves are scattered by mountains and ridges, how the scattering of light waves produces the blue sky, and meteorological phenomena such as rainbows and coronas. Rays, Waves, and Scattering is a valuable resource for practitioners, graduate students, and advanced undergraduates in applied mathematics, theoretical physics, and engineering. Bridging the gap between advanced treatments of the subject written for specialists and less mathematical books aimed at beginners, this unique mathematical compendium features problems and exercises throughout that are geared to various levels of sophistication, covering everything from Ptolemy's theorem to Airy integrals (as well as more technical material), and several informative appendixes. Provides a panoramic look at wave motion in many different contexts Features problems and exercises throughout Includes numerous appendixes, some on topics not often covered An ideal reference book for practitioners Can also serve as a supplemental text in classical applied mathematics, particularly wave theory and mathematical methods in physics and engineering Accessible to anyone with a strong background in ordinary differential equations, partial differential equations, and functions of a complex variable

Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition)

Author : Michael A Slawinski
Publisher : World Scientific
ISBN 13 : 9811226458
Total Pages : 654 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) by : Michael A Slawinski

Download or read book Waves And Rays In Seismology: Answers To Unasked Questions (Third Edition) written by Michael A Slawinski and published by World Scientific. This book was released on 2020-11-20 with total page 654 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a book on seismology dealing with advanced aspects of wave propagation in complex media. It can also be viewed as a book on mathematical modelling, wherein the accuracy of describing seismic phenomena exemplifies the modelling itself. The book gives an insight into the power of abstractness by applying the same mathematical methods and strategies to solve a variety of different physical problems. This book covers a broad range of topics in an advanced yet accessible manner. Each chapter is accompanied by a number of solved exercises, which render the book convenient for a lecturer and facilitate its use for an independent study. The details of mathematical methods are discussed in the appendices, which form a substantial portion of the book.