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.
Download or read book Natural Focusing and Fine Structure of Light written by J.F Nye and published by CRC Press. This book was released on 1999-01-01 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: A new kind of optics has grown up during the last 25 years. Geometrical optics has been studied for centuries (the law of reflection was known to the ancient Greeks) and wave optics (heralded by Huygens' Treatise on Light) has been studied for more than 300 years. But in the mid 1970s it began to be understood that when natural processes focus light, as when sunlight is reflected from the sea at sunset, the light caustics that are produced have a systematic behavior previously unrecognized. Natural Focusing and Fine Structure of Light: Caustics and Wave Dislocations provides a definitive account of how classical optics has been reconstructed in a modern way by emphasizing the hierarchy of singularities that exists in light fields. The book discusses the singularities of geometrical optics and their systematization by catastrophe theory. It explores the diffraction patterns associated with caustics that are dominated by wave dislocations, line singularities of the phase, and analogous to crystal dislocations. The book is a perfect blend of mathematics and physics, combining theory, computer simulation, and beautiful experimental photographs of the phenomena studied.
Download or read book Singularities of Caustics and Wave Fronts written by Vladimir Arnold and published by Springer Science & Business Media. This book was released on 2013-12-01 with total page 271 pages. Available in PDF, EPUB and Kindle. Book excerpt: One service mathematics has rendered the 'Et moi ...) si j'avait su comment en revenir, human race. It has put common sense back je n'y serais point aile.' Jules Verne where it belongs, on the topmost shelf next to the dusty canister labelled 'discarded non The series is divergent; therefore we may be sense'. ErieT. Bell able to do something with it. O. Heaviside Mathematics is a tool for thought. A highly necessary tool in a world where both feedback and non linearities abound. Similarly, all kinds of parts of mathematics serve as tools for other parts and for other sciences. Applying a simple rewriting rule to the quote on the right above one finds such statements as: 'One service topology has rendered mathematical physics .. .'; 'One service logic has rendered com puter science .. .'; 'One service category theory has rendered mathematics .. .'. All arguably true. And all statements obtainable this way form part of the raison d'etre of this series.
Download or read book The Mathematics of Geometrical and Physical Optics written by Orestes N. Stavroudis and published by John Wiley & Sons. This book was released on 2006-08-21 with total page 240 pages. Available in PDF, EPUB and Kindle. Book excerpt: In this sequel to his book, "The Optics of Rays, Wavefronts, and Caustics," Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen's principle, and Maxwell's model of Gauss' perfect lens.
Download or read book Galileo Unbound written by David D. Nolte and published by Oxford University Press. This book was released on 2018-07-12 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: Galileo Unbound traces the journey that brought us from Galileo's law of free fall to today's geneticists measuring evolutionary drift, entangled quantum particles moving among many worlds, and our lives as trajectories traversing a health space with thousands of dimensions. Remarkably, common themes persist that predict the evolution of species as readily as the orbits of planets or the collapse of stars into black holes. This book tells the history of spaces of expanding dimension and increasing abstraction and how they continue today to give new insight into the physics of complex systems. Galileo published the first modern law of motion, the Law of Fall, that was ideal and simple, laying the foundation upon which Newton built the first theory of dynamics. Early in the twentieth century, geometry became the cause of motion rather than the result when Einstein envisioned the fabric of space-time warped by mass and energy, forcing light rays to bend past the Sun. Possibly more radical was Feynman's dilemma of quantum particles taking all paths at once — setting the stage for the modern fields of quantum field theory and quantum computing. Yet as concepts of motion have evolved, one thing has remained constant, the need to track ever more complex changes and to capture their essence, to find patterns in the chaos as we try to predict and control our world.
Download or read book Caustics Catastrophes and Wave Fields written by Yu.A. Kravtsov and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 229 pages. Available in PDF, EPUB and Kindle. Book excerpt: Caustics, Catastrophes and Wave Fields in a sense continues the treatment of the earlier volume 6 "Geometrical Optics of Inhomogeneous Media" in the present book series, by analysing caustics and their fields on the basis of modern catastrophe theory. This volume covers the key generalisations of geometrical optics related to caustic asymptotic expansions: The Lewis-Kravtsov method of standard functions, Maslov's method of caonical operators, Orlov's method of interference integrals, as well as their modifications for penumbra, space-time, random and other types of caustics. All the methods are amply illustrated by worked problems concerning relevant wave-field applications.
Download or read book Geometrical Optics in Engineering Physics written by I︠U︡riĭ Aleksandrovich Kravt︠s︡ov and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 380 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph provides concise and clear coverage of modern ray theory without the need of complicated mathematics. Comprehensive coverage is given to wave problems in engineering physics, considering rays and caustics as physical objects.
Download or read book Introduction to Aberrations in Optical Imaging Systems written by José Sasián and published by Cambridge University Press. This book was released on 2013 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible, well presented introduction to the theory of optical aberrations, covering key topics that are often missing from comparable books.
Download or read book Geometrical Optics and the Field at a Caustic with Applications to Radio Wave Propagation Between Aircraft written by Lorne Herbert Doherty and published by . This book was released on 1953 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Caustic Light in Nonlinear Photonic Media written by Alessandro Zannotti and published by Springer Nature. This book was released on 2020-09-26 with total page 180 pages. Available in PDF, EPUB and Kindle. Book excerpt: Caustics are natural phenomena, forming light patterns in rainbows or through drinking glasses, and creating light networks at the bottom of swimming pools. Only in recent years have scientists started to artificially create simple caustics with laser light. However, these realizations have already contributed to progress in advanced imaging, lithography, and micro-manipulation. In this book, Alessandro Zannotti pioneers caustics in many ways, establishing the field of artificial caustic optics. He employs caustic design to customize high-intensity laser light. This is of great relevance for laser-based machining, sensing, microscopy, and secure communication. The author also solves a long standing problem concerning the origin of rogue waves which appear naturally in the sea and can have disastrous consequences. By means of a far-reaching optical analogy, he identifies scattering of caustics in random media as the origin of rogue waves, and shows how nonlinear light-matter interaction increases their probability.
Download or read book Lenses and Waves written by Fokko Jan Dijksterhuis and published by Springer Science & Business Media. This book was released on 2006-01-20 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book The Ray and Wave Theory of Lenses written by A. Walther and published by Cambridge University Press. This book was released on 2006-11-02 with total page 416 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives a detailed description of lens behaviour in real optical systems.
Download or read book Introduction to Nonimaging Optics written by Julio Chaves and published by CRC Press. This book was released on 2008-05-22 with total page 560 pages. Available in PDF, EPUB and Kindle. Book excerpt: The world's insatiable consumption of energy must be met with new technologies that offer alternative, environmentally conscious sources of light and power. The relatively young field of nonimaging optics is an ideal tool for designing optimized solar energy collectors and illumination optics and holds great promise in the development of solid stat
Download or read book Handbook of Optical Engineering written by Daniel Malacara and published by CRC Press. This book was released on 2001-05-31 with total page 1008 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook explains principles, processes, methods, and procedures of optical engineering in a concise and practical way. It emphasizes fundamental approaches and provides useful formulas and step-by-step worked-out examples to demonstrate applications and clarify calculation methods. The book covers refractive, reflective, and diffractive optical components; lens optical devices; modern fringe pattern analysis; optical metrology; Fourier optics and optical image processing; electro-optical and acousto-optical devices; spatial and spectral filters; optical fibers and accessories; optical fabrication; and more. It includes over 2,000 tables, flow charts, graphs, schematics, drawings, photographs, and mathematical expressions.
Download or read book Laser Beam Shaping written by Fred M. Dickey and published by CRC Press. This book was released on 2018-09-03 with total page 592 pages. Available in PDF, EPUB and Kindle. Book excerpt: Laser Beam Shaping: Theory and Techniques addresses the theory and practice of every important technique for lossless beam shaping. Complete with experimental results as well as guidance on when beam shaping is practical and when each technique is appropriate, the Second Edition is updated to reflect significant developments in the field. This authoritative text: Features new chapters on axicon light ring generation systems, laser-beam-splitting (fan-out) gratings, vortex beams, and microlens diffusers Describes the latest advances in beam profile measurement technology and laser beam shaping using diffractive diffusers Contains new material on wavelength dependence, channel integrators, geometrical optics, and optical software Laser Beam Shaping: Theory and Techniques, Second Edition not only provides a working understanding of the fundamentals, but also offers insight into the potential application of laser-beam-profile shaping in laser system design.
Download or read book Optics of Diffractive and Gradient index Elements and Systems written by Grigoriĭ Isaevich Greĭsukh and published by SPIE Press. This book was released on 1997 with total page 418 pages. Available in PDF, EPUB and Kindle. Book excerpt: The use of diffractive and gradient-index (GRIN) lenses as components of imaging optical systems has been investigated for several decades. The elements have proved competitive in their unique focusing and aberration properties and in terms of their additional degrees of freedom for optical design. This book systematically examines the physical principles of diffractive and GRIN elements.
Download or read book Physical Optics written by Giovanni Giusfredi and published by Springer Nature. This book was released on 2019-11-12 with total page 933 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook provides a sound foundation in physical optics by covering key concepts in a rigorous but accessible manner. Propagation of electromagnetic waves is examined from multiple perspectives, with explanation of which viewpoints and methods are best suited to different situations. After an introduction to the theory of electromagnetism, reflection, refraction, and dispersion, topics such as geometrical optics, interference, diffraction, coherence, laser beams, polarization, crystallography, and anisotropy are closely examined. Optical elements, including lenses, mirrors, prisms, classical and Fabry-Perot interferometers, resonant cavities, multilayer dielectric structures, interference and spatial filters, diffraction gratings, polarizers, and birefringent plates, are treated in depth. The coverage also encompasses such seldom-covered topics as modeling of general astigmatism via 4x4 matrices, FFT-based numerical methods, and bianisotropy, with a relativistic treatment of optical activity and the Faraday and Fresnel-Fizeau effects. Finally, the history of optics is discussed.
