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.

Lenses and Waves
Lenses and Waves

Author: Fokko Jan Dijksterhuis

Publisher: Springer Science & Business Media

Published: 2006-01-20

Total Pages: 294

ISBN-13: 1402026986

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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.