Treatise On Light

Treatise On Light

Author: Christiaan Huygens

Publisher: BoD – Books on Demand

Published: 2020-07-17

Total Pages: 102

ISBN-13: 3752308168

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Reproduction of the original: Treatise On Light by Christiaan Huygens


Geometric Optics on Phase Space

Geometric Optics on Phase Space

Author: Kurt Bernardo Wolf

Publisher: Springer Science & Business Media

Published: 2004-07-21

Total Pages: 400

ISBN-13: 9783540220398

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Symplectic geometry, well known as the basic structure of Hamiltonian mechanics, is also the foundation of optics. In fact, optical systems (geometric or wave) have an even richer symmetry structure than mechanical ones (classical or quantum). The symmetries underlying the geometric model of light are based on the symplectic group. Geometric Optics on Phase Space develops both geometric optics and group theory from first principles in their Hamiltonian formulation on phase space. This treatise provides the mathematical background and also collects a host of useful methods of practical importance, particularly the fractional Fourier transform currently used for image processing. The reader will appreciate the beautiful similarities between Hamilton's mechanics and this approach to optics. The appendices link the geometry thus introduced to wave optics through Lie methods. The book addresses researchers and graduate students.


An Introduction to Hamiltonian Optics

An Introduction to Hamiltonian Optics

Author: H. A. Buchdahl

Publisher: Courier Corporation

Published: 1993-01-01

Total Pages: 392

ISBN-13: 9780486675978

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Accessible study provides detailed account of the Hamiltonian treatment of aberration theory in geometrical optics. Many classes of optical systems defined in terms of their symmetries. Detailed solutions. 1970 edition.


Imaging Optics

Imaging Optics

Author: Joseph Braat

Publisher: Cambridge University Press

Published: 2019-05-02

Total Pages: 987

ISBN-13: 1108428088

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This comprehensive and self-contained text for researchers and professionals presents a detailed account of optical imaging from the viewpoint of both ray and wave optics.


Measuring Shadows

Measuring Shadows

Author: Raz Chen-Morris

Publisher: Penn State Press

Published: 2016-03-31

Total Pages: 255

ISBN-13: 027107731X

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In Measuring Shadows, Raz Chen-Morris demonstrates that a close study of Kepler’s Optics is essential to understanding his astronomical work and his scientific epistemology. He explores Kepler’s radical break from scientific and epistemological traditions and shows how the seventeenth-century astronomer posited new ways to view scientific truth and knowledge. Chen-Morris reveals how Kepler’s ideas about the formation of images on the retina and the geometrics of the camera obscura, as well as his astronomical observations, advanced the argument that physical reality could only be described through artificially produced shadows, reflections, and refractions. Breaking from medieval and Renaissance traditions that insisted upon direct sensory perception, Kepler advocated for instruments as mediators between the eye and physical reality, and for mathematical language to describe motion. It was only through this kind of knowledge, he argued, that observation could produce certainty about the heavens. Not only was this conception of visibility crucial to advancing the early modern understanding of vision and the retina, but it affected how people during that period approached and understood the world around them.


Natural Focusing and Fine Structure of Light

Natural Focusing and Fine Structure of Light

Author: J.F Nye

Publisher: CRC Press

Published: 1999-01-01

Total Pages: 354

ISBN-13: 9780750306102

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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.