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This book is the culmination of twenty-five years of teaching Geometrical Optics. The volume is organised such that the single spherical refracting surface is the basic optical element. Spherical mirrors are treated as special cases of refraction, with the same applicable equations. Thin lens equations follow as combinations of spherical refracting surfaces while the cardinal points of the thick lens make it equivalent to a thin lens. Ultimately, one set of vergence equations are applicable to all these elements.The chapters are devoted to in-depth treatments of stops, pupils and ports; magnifiers, microscopes, telescopes, and camera lenses; ophthalmic instruments; resolving power and MTF; trigonometric ray tracing; and chromatic and monochromatic aberrations. There are over 100 worked examples, 400 homework problems and 400 illustrations.First published in 1994 by Penumbra Publishing Co.
Teaching About Geometric Optics: Teacher’s Notes guides physics teachers to help students develop a foundational understanding of geometric optics. The cornerstone of photonics systems, geometric optics, have applications in a wide range of industries including technology, medical, and military sectors. This book covers the basics of light propagation, reflection and refraction and the use of simple optical elements such as mirrors, prisms, lenses, and optical fibers.
"This second volume of the series Lectures in Optics provides a comprehensive presentation of the Geometrical Optics effects. It discusses refraction and reflection off a single surface, flat and spherical. Then the essential building elements of optical power and beam vergence are presented: their importance is paramount in imaging, since the incident vergence is added to the element's power to produce the beam vergence leaving the optical element. Hence, imaging definitions and formulation are produced. The book then presents analytically all possible imaging arrangements with a single element, single lens, and a mirror. Then we proceed to add two more parameters: the extent of an element along the optical axis (thick lenses and lens systems) and the extent of an element perpendicular to the optical axis (stops and pupils). The ramifications on image quality due to the transverse restriction of light are presented, such as resolution and image blur. Finally, the book introduces the concepts of optical aberrations"--
Optical imaging starts with geometrical optics, and ray tracing lies at its forefront. This book starts with Fermat’s principle and derives the three laws of geometrical optics from it. After discussing imaging by refracting and reflecting systems, paraxial ray tracing is used to determine the size of imaging elements and obscuration in mirror systems. Stops, pupils, radiometry, and optical instruments are also discussed. The chromatic and monochromatic aberrations are addressed in detail, followed by spot sizes and spot diagrams of aberrated images of point objects. Each chapter ends with a summary and a set of problems. The book ends with an epilogue that summarizes the imaging process and outlines the next steps within and beyond geometrical optics.
Geometrical optics is no longer fashionable. Research workers do not expect significant new discoveries to be made in this field of classical physics. Teachers avoid the subject because its use for many generations in arid mathematical exercises has robbed it of all freshness and stimulus, with the result that it no longer seems relevant to a modern physics course. There remains - and perhaps this has grown in recent year- the technical significance of geometrical optics. It provides the basis for the design of optical instruments for use in everyday life as well as for scientific and industrial purposes. This small book is intended to treat two aspects of the subject: the laws of geometrical optics and their application to the design of optical instruments. The theory is not based on Snell's law of refraction but on a conservation law for the radiated energy. The subject can then be treated in a manner appropriate to contemporary physics: auxiliary geometrical parameters become unnecessary and the singularities resulting from their use vanish. The laws of geometrical optics can be formulated much more simply and their physical significance is revealed more clearly. I have tried to present the material in a form satisfactory both to teachers and to workers in the technical applications of optics. The content has thus been deliberately kept within the limits of a pocket book.
It is by no means easy for the applied mathematician to decide how much importance he should attach to the more abstract and aesthetic side of his work ... To all appearances, Sir William Rowan Hamilton (1850-1865) attached little importance to the practical applications of his method, and it was only with the publication of his Mathematical Papers that it was possible to form a more correct and balanced judgement of Hamilton as an applied mathematician.
Demonstrational Optics presents a new didactical approach to the study of optics. Emphasizing the importance of elaborate new experimental demonstrations, pictorial illustrations, computer simulations and models of optical phenomena in order to ensure a deeper understanding of the general and statistical optics. It includes problems focused on the pragmatic needs of students, secondary school teachers, university professors and optical engineers. This volume aims to present improved teaching methods and practical explanations of optical phenomena. An important feature is the inclusion of elaborate pictorial approach to explaining optical phenomena in parallel to a general mathematical description. The modern approach developed here is also used to illustrate many basic phenomena, complimenting the existing literature. The volume contains a valuable compendium of optical experiments for university, college and senior-school physics teachers. Experiments and modern computer simulations are described within the volume in sufficient detail to allow successful reproduction in a classroom or lecture theatre.