The Fractional Fourier Transform provide a comprehensive and widely accessible account of the subject covering both theory and applications. As a generalisation of the Fourier transform, the fractional Fourier transform is richer in theory and more flexible in applications but not more costly in implementation. This text consolidates knowledge on the transform and illustrates its application in diverse contexts. Applications studied so far fall mostly in the areas in optics and wave propagation and signal processing, including optical information processing, beam synthesis, phase retrieval, perspective projections, shift-variant filtering, image restoration, pattern recognition, tomography, data compression and time-frequency representations.

• Background material introduces time-frequency analysis emphasizing the Wigner distribution, ambiguity function and canonical transforms.
• Chapter on phase-space optics employs matrix algebra in a unified manner for both wave and geometrical optics, leading to many important results such as those on general Fourier transform planes and optical invariants.
• Separate discussion of optics for readers with no interest in optics.

This book focuses on the fundamentals, technologies and properties of ion irradiation of dielectric materials (e.g. glasses, crystals) with regard to various photonic applications. It introduces readers to diverse ion-beam techniques for the fabrication and modification of micron- or nanoscale photonic structures, including optical waveguides, photonic crystals, and nanoparticle (nano-spheres and nano-rods) systems, and presents state-of-the-art advances in this multi-disciplinary research field, demonstrating the unique capabilities of ion-beam technologies in optical dielectric materials processing. The book discusses in detail the properties of ion-beam processed waveguides, as well as the modification of dielectrics for photonic applications, such as electro-optic modulation, nonlinear frequency conversion, waveguide amplification and lasing. It also explores synthesis and the correlated optical effects of nanoparticles by ion beams, and features examples of successful micro- and nano-photonic devices. Given its breadth of coverage, the book will particularly appeal to readers interested in ion-beam technology, materials science, and integrated optics.

With 300 figures, tables, and equations, this book presents a unified approach to image quality research and modeling. The author discusses the results of different, calibrated psychometric experiments can be rigorously integrated to construct predictive software using Monte Carlo simulations and provides numerous examples of viable field applications for product design and verification of modeling predictions. He covers perceptual measurements for the assessment of individual quality attributes and overall quality, explores variation in scene susceptibility, observer sensitivity, and preference, and includes methods of analysis for testing and refining metrics based on psychometric data.

This text summarizes the invited papers presented at the International Symposium on New Trends in Optical Soliton Transmission Systems held in Kyoto, Japan in the fall of 1997. The symposium is the second of the series and is considered to be the most representative symposium on the use of optical solitons for ultrafast communications. In particular, this symposium focuses on the newly developed technologies of dispersion management to improve soliton transmission capabilities. Studies of properties of new solitons that appear in fibres with periodic variation of dispersion are also presented.

Completely revised and updated, you will benefit from new and rewritten sections on: axial magnification Jackson Cross Cylinder tests retinoscopy reflex motions field of view the optics of indirect ophthalmoscopy optical aberrations diffractive lenses the Doppler shift lasers and the similarities and differences of Gaussian laser beams versus the propagation of light from a point source plus, a new appendix on angles and basic trigonometry. Although not a matrix optics text, matrices are used extensively in the chapters on spherical systems and off-axis aspects of astigmatism. In particular, the matrix treatment of astigmatism serves as a foundation for the recently developed, much improved statistical techniques that deal with refractive corrections and astigmatism in all its aspects. * Emphasizes conceptual understanding and development of optical intuition * Uses the vergence-dioptric power-wavefront approach * Helpful review for optometry boards and qualifying examinations

Tremendous technological developments and rapid progress in theory have opened a new area of modern physics called high-field electrodynamics: the systematic study of the interaction of relativistic electrons or positrons with ultrahigh-intensity, coherent electromagnetic radiation.

This advanced undergraduate/graduate-level text provides a detailed introduction to high-field electrodynamics, from its fundamentals to some of its important modern applications. The author describes a broad collection of theoretical techniques, and where possible, approaches derivations by at least two different routes to yield deeper physical insight and a wider range of mathematical and physical techniques. He also discusses some of the outstanding ramifications of electrodynamics in areas ranging from quantum optics, squeezed states, and the Einstein-Podolsky-Rosen paradox to rotating black holes, non-Abelian gauge field theories, and the Bohm-Aharanov effect.

High-Field Electrodynamics gives a comprehensive description of the theoretical tools needed to approach this novel discipline. It highlights important modern applications and serves as a starting point for more advanced and specialized research at the frontiers of modern physics.

Handbook of Visual Optics offers an authoritative overview of encyclopedic knowledge in the field of physiological optics. It builds from fundamental concepts to the science and technology of instruments and practical procedures of vision correction, integrating expert knowledge from physics, medicine, biology, psychology, and engineering. The chapters comprehensively cover all aspects of modern study and practice, from optical principles and optics of the eye and retina to novel ophthalmic tools for imaging and visual testing, devices and techniques for visual correction, and the relationship between ocular optics and visual perception.

This new edition details the important features of beam shaping and exposes the subtleties of the theory and techniques that are best demonstrated through proven applications. New chapters cover illumination light shaping in optical lithography; optical micro-manipulation of live mammalian cells through trapping, sorting, and transfection; and laser beam shaping through fiber optic beam delivery. The book discusses applications in lithography, laser printing, optical data storage, stable isotope separation, and spatially dispersive lasers. It also provides a history of the field and includes extensive references.

Optoelectronic devices are now ubiquitous in our daily lives, from light emitting diodes (LEDs) in many household appliances to solar cells for energy. This handbook shows how we can probe the underlying and highly complex physical processes using modern mathematical models and numerical simulation for optoelectronic device design, analysis, and performance optimization. It reflects the wide availability of powerful computers and advanced commercial software, which have opened the door for non-specialists to perform sophisticated modeling and simulation tasks. The chapters comprise the know-how of more than a hundred experts from all over the world. The handbook is an ideal starting point for beginners but also gives experienced researchers the opportunity to renew and broaden their knowledge in this expanding field.

Optical components are essential key elements in modern engineering and everyday life. The education of skilled personnel and specialists in the fields of theoretical and practical optics manufacturing is of essential importance for next-generation technologies. Against this background, this book provides the basis for the education and advanced training of precision and ophthalmic optics technicians, craftsmen, and foremen, and it is an extensive reference work for students, academics, optical designers or shop managers, and production engineers. It not only covers particularly used and applied machines, working materials, testing procedures, and machining steps for classical optics manufacturing, but it also addresses the production and specification of optical glasses as well as unconventional production techniques and novel approaches. Optics Manufacturing: Components and Systems furthermore covers the basics of light propagation and provides an overview on optical materials and components; presents an introduction and explanation of the necessary considerations and procedures for the initial definition of manufacturing tolerances and the relevant industrial standards for optics manufacturing; and addresses the production of micro optics, the assembly of opto-mechanical setups and possible manufacturing errors, and the impact of the resulting inaccuracies. In order to allow fast and clear access to the most essential information, each chapter ends with a short summary of the most important aspects, including an explanation of relevant equations, symbols, and abbreviations. For further reading, extensive lists of references are also provided. Finally, exercises on the covered basic principles of optics, approaches, and techniques of optics manufacturing-including their corresponding detailed solutions-are found in the appendix.

This book addresses the theoretical foundations and the main physical consequences of electromagnetic interaction, generally considered to be one of the four fundamental interactions in nature, in a mathematically rigorous yet straightforward way. The major focus is on the unifying features shared by classical electrodynamics and all other fundamental relativistic classical field theories. The book presents a balanced blend of derivations of phenomenological predictions from first principles on the one hand, and concrete applications on the other. Further, it highlights the internal inconsistencies of classical electrodynamics, and addresses and resolves often-ignored critical issues, such as the dynamics of massless charged particles, the infinite energy of the electromagnetic field, and the limits of the Green's function method. Presenting a rich, multilayered, and critical exposition on the electromagnetic paradigm underlying the whole Universe, the book offers a valuable resource for researchers and graduate students in theoretical physics alike.

This book will discuss how glass and glass ceramic interact with light, both transiently and permanently. Ways that light permanently alter the properties of glass and glass ceramic like the color, refractive index, and mechanical and chemical behaviors will be included. Each photochromatic phenomenon will be discussed in detail from the physical and chemical origin to the method fabrication and ultimately to their utilization.

This book shows there is a profound connection between information and entropy. Without this connection, information would be more difficult to apply to science. This book covers the connection and the application to modern optics and radar imaging. It shows that there exists a profound relationship between Einstein's relativity theory and Schroeinger's quantum mechanics, by means of the uncertainty principle. In due of the uncertainty relation, this book shows that every bit of information takes time and energy to transfer, to create and to observe. The new edition contains 3 new chapters on radar imaging with optics, science in the myth of information, and time and the enigma of space.

Organic Nonlinear Optical Materials provides an extensive description of the preparation and characterization of organic materials for applications in nonlinear and electro-optics. The book discusses the fundamental optimization and practical limitations of a number of figures of merit for various optical parameters and gives a clinical appraisal of the potential of organic materials for applicators in optical technology. Among the topics addressed are the basic molecular design of;nonlinear optical chromophores, fundamentals and novel techniques of organic crystal growth, preparation and characterization of Langmuir-Blodgett and polymer films, experimental methods for determining microscopic and macroscopic optical properties. Also included is a discussion of first results of the photorefractive effect in organic crystals and the potential of organics for photorefractive applications, as well as an extensive review of published linear and nonlinear optical measurement of organic materials.

This book provides researchers at the forefront of nonlinear optical technologies with robust procedures and software for the systematic investigation of the fundamental phenomena in nonlinear optical waveguide structures. A full vectorial electromagnetic formulation is adopted and the conditions under which simplification to a scalar formulation is possible are clearly indicated. The need to model the dielectric saturation properly is identified, and improved algorithms are presented for obtaining the complete power dispersion curve of structures exhibiting bistability. As the stability analysis of nonlinear modes is crucial to the development of nonlinear model methods, an effective procedure to investigate the propagation of the scalar nonlinear waves in 3D is another important feature of the book. All of the procedures described, as well as an automatic mesh generator for the finite element method, are incorporated into a software package which is included with this book.

The revised edition of this important reference volume presents an expanded overview of the analytical and numerical approaches employed when exploring and developing modern laser materials processing techniques. The book shows how general principles can be used to obtain insight into laser processes, whether derived from fundamental physical theory or from direct observation of experimental results. The book gives readers an understanding of the strengths and limitations of simple numerical and analytical models that can then be used as the starting-point for more elaborate models of specific practical, theoretical or commercial value. Following an introduction to the mathematical formulation of some relevant classes of physical ideas, the core of the book consists of chapters addressing key applications in detail: cutting, keyhole welding, drilling, arc and hybrid laser-arc welding, hardening, cladding and forming. The second edition includes a new a chapter on glass cutting with lasers, as employed in the display industry. A further addition is a chapter on meta-modelling, whose purpose is to construct fast, simple and reliable models based on appropriate sources of information. It then makes it easy to explore data visually and is a convenient interactive tool for scientists to improve the quality of their models and for developers when designing their processes. As in the first edition, the book ends with an updated introduction to comprehensive numerical simulation. Although the book focuses on laser interactions with materials, many of the principles and methods explored can be applied to thermal modelling in a variety of different fields and at different power levels. It is aimed principally however at academic and industrial researchers and developers in the field of laser technology.

This study looks at the basic principles of optical parametric processes and recent results on the rapidly developing optical parametric device technology. The theoretical basis of stimulated and spontaneous optical parametric processes and detailed design considerations of optical parametric oscillators and amplifiers are discussed, followed by a review of the materials properties of the most important nonlinear optical crystals for such applications. It concludes with a review of the recent developments on practical low-repetition rate nanosecond optical parametric oscillators and broadly tunable high-repetition rate continuous-pulse-train femtosecond optical parametric oscillations from the uv to the mid ir.

Entanglement and (de-)coherence arguably define the central issues of concern in present day quantum information theory. Entanglement being a consequence of the quantum mechanical superposition principle for composite systems, a better understanding of the environment-induced destruction of coherent superposition states is required to devise novel strategies for harvesting quantum interference phenomena.

The present book collects a series of advanced lectures on the theoretical foundations of this active research field, from mathematical aspects underlying quantum topology to mesoscopic transport theory.

All lectures start out from an elementary level and proceed along a steep learning curve. This makes the material particularly suitable for student seminars on the more fundamental theoretical aspects of quantum information, and equally useful as supplementary reading for advanced lectures on this topic.

Continuing miniaturization of electronic devices, together with the quickly growing number of nanotechnological applications, demands a profound understanding of the underlying physics. Most of the fundamental problems of modern condensed matter physics involve various aspects of quantum transport and fluctuation phenomena at the nanoscale. In nanostructures, electrons are usually confined to a limited volume and interact with each other and lattice ions, simultaneously suffering multiple scattering events on impurities, barriers, surface imperfections, and other defects. Electron interaction with other degrees of freedom generally yields two major consequences, quantum dissipation and quantum decoherence. In other words, electrons can lose their energy and ability for quantum interference even at very low temperatures. These two different, but related, processes are at the heart of all quantum phenomena discussed in this book. This book presents copious details to facilitate the understanding of the basic physics behind a result and the learning to technically reproduce the result without delving into extra literature. The book subtly balances the description of theoretical methods and techniques and the display of the rich landscape of the physical phenomena that can be accessed by these methods. It is useful for a broad readership ranging from master's and PhD students to postdocs and senior researchers.

This book presents recent and important developments in the field of Photonics and Optoelectronics, with a particular focus on Laser Technology, Optical Communications, Optoelectronic Devices and Image Processing. At present, Photonics and Optoelectronics Technologies are pivotal to the future of laser, displays, sensors and communication technologies, and currently being developed at an extraordinary rate. This book details the theories underlying the mechanisms involved in the relevant Photonics and Optoelectronics. Devices such as laser diodes, photodetectors, and integrated optoelectronic circuits are investigated. The reviews by leading experts are of interest to researchers and engineers as well as advanced students.

The first publication of its kind in the field, this book describes comprehensively and systematically radio-frequency (rf) capacitive gas discharges of intermediate and low pressure and their application to gas laser excitation and to plasma processing. Text presents the physics underlying rf discharges along with techniques for obtaining such discharges, experimental methods and results, and theoretical and numerical modeling findings. Radio-Frequency Capacitive Discharges is written by well-known specialists in the field, authors of many theoretical and experimental works. They provide simple and clear discussions of complicated physical phenomena. A complete review on the state of the art is included. This interesting new book can be used as a textbook for students and postgraduates and as a comprehensive guidebook by specialists.

This book deals specifically with the manipulation of atoms by laser light, describing the focusing, channeling and reflection of atoms by laser fields. It also describes the potential fields required to cause the phase change of the wave function necessary for the atomic interactions to occur.

This book describes a number of simple methods for showing that light is polarised and determining the direction of vibration. It is based on a demonstration lecture, called 'Polar Explorations in Light' developed for young audiences, at the Royal Institution of Great Britain.

Contents:
1. Introduction 2. Fabrication Techniques and Applications 3. The Method of Manufacturing Microlenses by Melting Photoresist 4. Improvements to the Performance of Microlens Arrays 5. Measurement of Microlenses 6. Interferometers to Measure Microlenses 7. Optical Performance of Individual Microlenses 8. Summary 9. References

The number of researchers using imaging devices in their work continues to increase rapidly. Disciplines including astronomy, biology, chemistry, physics and manufacturers of imaging devices, optical components and complete optical systems are recognising the enormous potential. Further Developments in Scientific Optical Imaging brings together the latest information on commercial and academic research, development and applications in scientific optical imaging, from state-of-the-art devices to exciting explorations in space. Topics range from a new generation of CCDs, through spectroscopic applications of CTDs, to improved image processing and new applications for microscopy and spectroscopy. Experts from around the world provide overviews of important aspects of optical imaging, such as design considerations, device fabrication and integration, and data reduction. Comprehensive and international in coverage, this book will be welcomed by developers, manufacturers and users of this technology in universities, observatories and businesses around the world.