This thesis focuses on the fundamental problem of characterising partially coherent beams. The book describes several non-interferometric methods based on phase-space tomography for recovering the spatial coherence information of optical beams. In the context of optical beams, partially coherent light provides numerous advantages over coherent light. From microscopy to optical communications, …
Optical coherence tomography (OCT) is the optical analog of ultrasound imaging and is a powerful imaging technique that enables non-invasive, in vivo, high resolution, cross-sectional imaging in biological tissue. Between 30 to 40 Million OCT imaging procedures are performed per year in ophthalmology. The overall market is estimated at more than 0.5 Billion USD. A new generation OCT technology…
The book reviews the most recent achievements in optical technologies for XUV and X-ray coherent sources. Particular attention is given to free-electron-laser facilities, but also to other sources available at present, such as synchrotrons, high-order laser harmonics and X-ray lasers. The optical technologies relevant to each type of source are discussed. In addition, the main technologies used…
This text presents and studies the method of so –called noncommuting variations in Variational Calculus. This method was pioneered by Vito Volterra who noticed that the conventional Euler-Lagrange (EL-) equations are not applicable in Non-Holonomic Mechanics and suggested to modify the basic rule used in Variational Calculus. This book presents a survey of Variational Calculus with no…
The Complete Poetry of Du Fu presents a complete scholarly translation of Chinese literature alongside the original text in a critical edition. The English translation is more scholarly than vernacular Chinese translations, and it is compelled to address problems that even the best traditional commentaries overlook.The main body of the text is a facing page translation and critical edition of t…
Due to their popularity with the American counterculture, the poems attributed to Hanshan, Shide and Fenggan have been translated several times in recent decades. However, previous translations have either been broadly popular in nature or have failed to understand fully the colloquial qualities of the originals. This new version provides a complete Chinese/English edition of the poems, aimed a…
The aim of the present book is to give a systematic treatment of the inverse problem of the calculus of variations, i.e. how to recognize whether a system of differential equations can be treated as a system for extremals of a variational functional (the Euler-Lagrange equations), using contemporary geometric methods. Selected applications in geometry, physics, optimal control, and general rela…
"This collection of essays by Foxfire practitioners represents the wide range of adaptations by educators of the pedagogical orientation of the Foxfire Magazine and Foxfire Programs for Teachers. Former students in the magazine class at Rabun County High School share the continuing impact of that experience on their lives, including a former student who is pioneering the magazine project with h…
The book provides a detailed exposition of the calculus of variations on fibre bundles and graded manifolds. It presents applications in such area's as non-relativistic mechanics, gauge theory, gravitation theory and topological field theory with emphasis on energy and energy-momentum conservation laws. Within this general context the first and second Noether theorems are treated in the very g…
This book investigates the stability and vibrations of conductive, perfectly conductive and superconductive thin bodies in electromagnetic fields. It introduces the main principles and derives basic equations and relations describing interconnected mechanical and electromagnetic processes in deformable electro conductive bodies placed in an external inhomogeneous magnetic field and under the in…