Treatise On Light

Treatise On Light
Author: Christiaan Huygens
Publisher: BoD – Books on Demand
Total Pages: 102
Release: 2020-07-17
Genre: Fiction
ISBN: 3752308168

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
Total Pages: 400
Release: 2004-07-21
Genre: Science
ISBN: 9783540220398

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
Total Pages: 392
Release: 1993-01-01
Genre: Science
ISBN: 9780486675978

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.

Measuring Shadows

Measuring Shadows
Author: Raz Chen-Morris
Publisher: Penn State Press
Total Pages: 255
Release: 2016-03-31
Genre: History
ISBN: 027107731X

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.

Imaging Optics

Imaging Optics
Author: Joseph Braat
Publisher: Cambridge University Press
Total Pages: 987
Release: 2019-05-02
Genre: Medical
ISBN: 1108428088

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.

Geometrical Optics

Geometrical Optics
Author: J. L. Synge
Publisher: CUP Archive
Total Pages: 132
Release: 1937-01-02
Genre: Mathematics
ISBN:

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.