A Treatise on Geometrical Optics
Author | : Robert Alfred Herman |
Publisher | : |
Total Pages | : 364 |
Release | : 1900 |
Genre | : Geometrical optics |
ISBN | : |
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Author | : Robert Alfred Herman |
Publisher | : |
Total Pages | : 364 |
Release | : 1900 |
Genre | : Geometrical optics |
ISBN | : |
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
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.
Author | : James Powell Cocke Southall |
Publisher | : |
Total Pages | : 624 |
Release | : 1918 |
Genre | : Geometrical optics |
ISBN | : |
Author | : |
Publisher | : Academic Press |
Total Pages | : 321 |
Release | : 1989-01-01 |
Genre | : Science |
ISBN | : 0080860133 |
Geometrical and Instrumental Optics
Author | : Michael Ware |
Publisher | : Lulu.com |
Total Pages | : 350 |
Release | : 2015 |
Genre | : Electromagnetic waves |
ISBN | : 1312929278 |
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.
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.
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.
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.