The Mathematics Of Geometrical And Physical Optics

Author : Orestes N. Stavroudis
Publisher : John Wiley & Sons
Page : 240 pages
File Size : 40,6 Mb
Release : 2006-08-21
Category : Science
ISBN : 9783527608294

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The Mathematics of Geometrical and Physical Optics by Orestes N. Stavroudis Pdf

In this sequel to his book, "The Optics of Rays, Wavefronts, and Caustics," Stavroudis not only covers his own research results, but also includes more recent developments. The book is divided into three parts, starting with basic mathematical concepts that are further applied in the book. Surface geometry is treated with classical mathematics, while the second part covers the k-function, discussing and solving the eikonal equation as well as Maxwell equations in this context. A final part on applications consists of conclusions drawn or developed in the first two parts of the book, discussing such topics as the Cartesian oval, the modern Schiefspiegler, Huygen's principle, and Maxwell's model of Gauss' perfect lens.

Author : Orestes Nicholas Stavroudis
Publisher : Unknown
Page : 0 pages
File Size : 55,6 Mb
Release : 2004
Category : Geometrical optics
ISBN : OCLC:1345050511

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The Mathematics of Geometrical and Physical Optics by Orestes Nicholas Stavroudis Pdf

Author : Kurt Bernardo Wolf
Publisher : Springer Science & Business Media
Page : 400 pages
File Size : 41,5 Mb
Release : 2004-07-21
Category : Science
ISBN : 3540220399

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Geometric Optics on Phase Space by Kurt Bernardo Wolf Pdf

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 : Nkoma, John S.,Jain, Pushpendra K.
Publisher : Mkuki na Nyota Publishers
Page : 266 pages
File Size : 43,7 Mb
Release : 2019-05-22
Category : Science
ISBN : 9789987083718

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Introduction to Optics by Nkoma, John S.,Jain, Pushpendra K. Pdf

The book introduces university undergraduates to the fascinating world of the science of light. Contemporary physics programmes are under increasing pressure to provide a balance between coverage of several traditional branches of physics and to expose students to emerging research areas. It is therefore important to provide an in depth introduction to some branches of physics, such as optics, to students who may not become professional physicists but will need physics in their chosen professions. Some Universities offer optics as semester courses while others offer it as modules within general physics courses in the degree programme. The book meets the needs of both approaches. Optics has three major branches: Geometrical optics, Physical optics and Quantum optics. Chapter 1 is about the nature of light. Geometrical optics is covered in chapters 2 to 5, Physical optics in chapters 6 to 8, and Quantum optics in chapter 9, and lays a foundation for advanced courses in applied quantum optics. The language of physics is universal, and the book is suited to students globally. However, the book recognises certain peculiarities in Africa, and is written to meet the specific needs of students in African Universities. Some students come from well equipped schools while other students come from less well equipped schools. These two groups of students attending the same course have different needs. The well prepared students need challenge, while the others need to be taught in fair detail. The book has therefore detailed discussions and explanations of difficult-to-grasp topics with the help of simple but clearly drawn and labeled diagrams. The discussions and conclusions are presented pointwise, and key words, definitions, laws, etc., are highlighted. There are a large number of problems and exercises at the end of each chapter.

Author : J. L. Synge
Publisher : CUP Archive
Page : 132 pages
File Size : 54,6 Mb
Release : 1937-01-02
Category : Mathematics
ISBN : 8210379456XXX

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Geometrical Optics by J. L. Synge Pdf

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.

Author : Richard Samuel Longhurst
Publisher : Longman Publishing Group
Page : 702 pages
File Size : 54,5 Mb
Release : 1973
Category : Science
ISBN : STANFORD:36105030299098

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Geometrical and Physical Optics by Richard Samuel Longhurst Pdf

Author : R. K. Luneburg
Publisher : University of California Press
Page : 480 pages
File Size : 43,9 Mb
Release : 2021-01-08
Category : Mathematics
ISBN : 9780520328259

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Mathematical Theory of Optics by R. K. Luneburg Pdf

This title is part of UC Press's Voices Revived program, which commemorates University of California Press’s mission to seek out and cultivate the brightest minds and give them voice, reach, and impact. Drawing on a backlist dating to 1893, Voices Revived makes high-quality, peer-reviewed scholarship accessible once again using print-on-demand technology. This title was originally published in 1964.

Author : John Lighton Synge
Publisher : Unknown
Page : 110 pages
File Size : 44,7 Mb
Release : 1937
Category : Electronic
ISBN : OCLC:46267633

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Geometrical Optics by John Lighton Synge Pdf

Author : Ferrucio Colombini,Nicolas Lerner
Publisher : Springer Science & Business Media
Page : 365 pages
File Size : 40,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461220145

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Geometrical Optics and Related Topics by Ferrucio Colombini,Nicolas Lerner Pdf

This book contains fourteen research papers which are expanded versions of conferences given at a meeting held in September 1996 in Cortona, Italy. The topics include blowup questions for quasilinear equations in two dimensions, time decay of waves in LP, uniqueness results for systems of conservation laws in one dimension, concentra tion effects for critical nonlinear wave equations, diffraction of nonlin ear waves, propagation of singularities in scattering theory, caustics for semi-linear oscillations. Other topics linked to microlocal analysis are Sobolev embedding theorems in Weyl-Hormander calculus, local solv ability for pseudodifferential equations, hypoellipticity for highly degen erate operators. The book also contains a result on uniqueness for the Cauchy problem under partial analyticity assumptions and an article on the regularity of solutions for characteristic initial-boundary value problems. On each topic listed above, one will find new results as well as a description of the state of the art. Various methods related to nonlinear geometrical optics are a transversal theme of several articles. Pseu dodifferential techniques are used to tackle classical PDE problems like Cauchy uniqueness. We are pleased to thank the speakers for their contributions to the meeting: Serge Alinhac, Mike Beals, Alberto Bressan, Jean-Yves Chemin, Christophe Cheverry, Daniele Del Santo, Nils Dencker, Patrick Gerard, Lars Hormander, John Hunter, Richard Melrose, Guy Metivier, Yoshinori Morimoto, and Tatsuo Nishitani. The meeting was made possible in part by the financial support of a European commission pro gram, "Human capital and mobility CHRX-CT94-044."

Author : Ajawad I. Haija,M. Z. Numan,W. Larry Freeman
Publisher : CRC Press
Page : 464 pages
File Size : 55,6 Mb
Release : 2018-02-21
Category : Mathematics
ISBN : 9781351588508

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Concise Optics by Ajawad I. Haija,M. Z. Numan,W. Larry Freeman Pdf

This introductory text is a reader friendly treatment of geometrical and physical optics emphasizing problems and solved examples with detailed analysis and helpful commentary. The authors are seasoned educators with decades of experience teaching optics. Their approach is to gradually present mathematics explaining the physical concepts. It covers ray tracing to the wave nature of light, and introduces Maxwell’s equations in an organic fashion. The text then moves on to explains how to analyze simple optical systems such as spectacles for improving vision, microscopes, and telescopes, while also being exposed to contemporary research topics. Ajawad I. Haija is a professor of physics at Indiana University of Pennsylvania. M. Z. Numan is professor and chair of the department of physics at Indiana University of Pennsylvania. W. Larry Freeman is Emeritus Professor of Physics at Indiana University of Pennsylvania.

Author : Chakrabarti P
Publisher : New Central Book Agency
Page : 544 pages
File Size : 51,9 Mb
Release : 2010
Category : Electronic
ISBN : 8173812527

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Geometrical & Physical Optics by Chakrabarti P Pdf

Author : Rudolf Karl Luneburg
Publisher : Univ of California Press
Page : 482 pages
File Size : 50,5 Mb
Release : 1966
Category : Industries
ISBN : 8210379456XXX

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Mathematical Theory of Optics by Rudolf Karl Luneburg Pdf

Author : John Lighton Synge
Publisher : Unknown
Page : 110 pages
File Size : 53,6 Mb
Release : 1937
Category : Geometrical optics
ISBN : OCLC:758238839

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Geometrical Optics by John Lighton Synge Pdf

Author : I︠U︡riĭ Aleksandrovich Kravt︠s︡ov
Publisher : Alpha Science Int'l Ltd.
Page : 380 pages
File Size : 53,7 Mb
Release : 2005
Category : Science
ISBN : 1842651595

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Geometrical Optics in Engineering Physics by I︠U︡riĭ Aleksandrovich Kravt︠s︡ov Pdf

This monograph provides concise and clear coverage of modern ray theory without the need of complicated mathematics. Comprehensive coverage is given to wave problems in engineering physics, considering rays and caustics as physical objects.

Author : Antonio Romano,Roberto Cavaliere
Publisher : Birkhäuser
Page : 289 pages
File Size : 52,6 Mb
Release : 2016-09-26
Category : Mathematics
ISBN : 9783319437323

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Geometric Optics by Antonio Romano,Roberto Cavaliere Pdf

This book—unique in the literature—provides readers with the mathematical background needed to design many of the optical combinations that are used in astronomical telescopes and cameras. The results presented in the work were obtained by using a different approach to third-order aberration theory as well as the extensive use of the software package Mathematica®. Replete with workout examples and exercises, Geometric Optics is an excellent reference for advanced graduate students, researchers, and practitioners in applied mathematics, engineering, astronomy, and astronomical optics. The work may be used as a supplementary textbook for graduate-level courses in astronomical optics, optical design, optical engineering, programming with Mathematica, or geometric optics.