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Geometric asymptotics par Guillemin, Victor. Publication : Providence, R.I. American Mathematical Society 1977 . 480 p. , Symplectic geometry and the theory of Fourier integral operators are modern manifestations of themes that have occupied a central position in mathematical thought for the past three hundred years--the relations between the wave and the corpuscular theories of light. The purpose of this book is to develop these themes, and present some of the recent advances, using the language of differential geometry as a unifying influence. Chapters included in this book are: Chapter I, Introduction. The method of stationary phase; Appendix I, Morse's lemma and some generalizations; Chapter II, Differential operators and asymptotic solutions; Chapter III, Geometrical optics; Chapter IV, Symplectic geometry; Chapter V, Geometric quantization; Chapter VI, Geometric aspects of distribution; Appendix to Chapter VI, The Plancherel formula for the complex semisimple Lie groups; Chapter VII, Compound Asymptotics; Appendix II, Various functorial constructions; Index. 26 cm. Date : 1977 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Geometric optics on phase space par Wolf, Kurt Bernardo. Publication : Berlin | New York, NY Springer 2004 . xv, 373 pages 24 cm. Date : 2004 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Geometrical and trigonometric optics par Dereniak, Eustace L. Publication : Cambridge, UK | New York Cambridge University Press 2008 . x, 409 pages 26 cm. Date : 2008 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Linear ray and wave optics in phase space bridging ray and wave optics via the Wigner phase-space picture par Torre, A. Publication : . 1 online resource (xiii, 526 pages) , Ray, wave and quantum concepts are central to diverse and seemingly incompatible models of light. Each model particularizes a specific ''manifestation'' of light, and then corresponds to adequate physical assumptions and formal approximations, whose domains of applicability are well-established. Accordingly each model comprises its own set of geometric and dynamic postulates with the pertinent mathematical means. At a basic level, the book is a complete introduction to the Wigner optics, which bridges between ray and wave optics, offering the optical phase space as the ambience and the Wigner function based technique as the mathematical machinery to accommodate between the two opposite extremes of light representation: the localized ray of geometrical optics and the unlocalized wave function of wave optics. At a parallel level, the analogies with other branches of both classical and quantum physics, like classical and quantum mechanics, quantum optics, signal theory as well as magnetic optics, are evidenced by pertinent comments and/or rigorous mathematics. So, the Lie algebra and group methods are introduced and explained through the elementary optical systems within both the ray and wave optics contexts, the former being related to the symplectic group and the latter to the metaplectic group. In a like manner, the Wigner function is introduced by following the original issue to individualize a phase space representation of quantum mechanics, which is mirrored by the issue to individualize a local frequency spectrum within the signal theory context. The basic analogy with the optics of charged particles inherently underlying the ray-optics picture in phase space is also evidenced within the wave-optics picture in the Wigner phase space. amalgamation of a great deal of contributions having witnessed the phase space picture of optics over the past 30 years introduces abstract concepts through concrete systems hosts of figures and logical diagrams to favour intuition and to introduce mathematics emphasis on the interrelations with quantum optics, signal theory and magnetic optics feeds a feeling for genuine issues in higher mathematics and theoretical physics. Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Optics : learning by computing with examples using MathCAD, Matlab, mathematica, and maple / par Möller, Karl Dieter, Publication : New York : Springer, 2007 . xvi, 453 pages : , "Includes CD-ROM with Mathcad, Matlab, Mathematica." 24 cm + Date : 2007 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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The mathematics of geometrical and physical optics the K-function and its ramifications par Stavroudis,, Orestes N. Publication : [S.l.] Wiley-VCH 2006 . 240 p. , 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. 25 cm. Date : 2006 Disponibilité : Exemplaires disponibles: La bibliothèque des Sciences Exactes et Naturelles (1),

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Linear ray and wave optics in phase space : bridging ray and wave optics via the Wigner phase-space picture / par Torre, A. Publication : . 1 online resource (xiii, 526 pages) : Disponibilité :  http://www.sciencedirect.com/science/book/9780444517999,

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Geometric, physical, and visual optics / par Keating, Michael P. Publication : . 1 online resource (xvi, 613 pages) : , Includes index. Disponibilité :  http://www.sciencedirect.com/science/book/9780750672627,

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