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Unlike direct problems related to the solution of differential equations, inverse problems are typically expressed by integral equations. These equations relate media parameters to parameters of a measured signal, or input parameters to output ones in various measurement systems. The solution of integral equations is, with few exceptions, an ill-posed problem, and additional a priori information about the exact solution should be used to solve such problems. The specific character of the a priori information determines various regularisation methods that are in use here to obtain an approximate solution: Tikhonov's method, statistical regularisation method, methods based on the use of additional equations or restrictions or of models with limited number of unknown parameters. The main point of this book is the study of convergence properties of each method and the wide application of numerical modelling that gives the accuracy of the solution in a chosen metric. It is an unaccustomed procedure for physicists, but, because there is no proportionality between data and solution errors in ill-posed problems, such approach is inevitable.
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Near-field optics studies the behaviour of light fields in the vicinity of matter, where light is structured in propagating and evanescent fields. Near-field optical microscopy is the straightforward application of near-field optics.This textbook provides an overview for undergraduates and anyone who has an interest in peculiar optical phenomena, and serves as a technical manual for engineers and researchers. It consists of 12 chapters dealing with the history of near-field optics, non-radiating optics, optical noise, inverse problems, theory, instrumentation and applications; there is an appendix including the basic elements of Fourier optics and Maxwell equations.
Spring 1898 is an unchanged, high-quality reprint of the original edition of 1899. Hansebooks is editor of the literature on different topic areas such as research and science, travel and expeditions, cooking and nutrition, medicine, and other genres.As a publisher we focus on the preservation of historical literature.Many works of historical writers and scientists are available today as antiques only. Hansebooks newly publishes these books and contributes to the preservation of literature which has become rare and historical knowledge for the future.
This publication, Our Fragile World: Challenges and Opportunities for Sustainable Development, presents perspectives of several important subjects that are covered in greater detail and depth in the Encyclopedia of Life Support Systems (EOLSS). The contributions to the two volumes provide an integrated presentation of knowledge and worldviews related to the state of: Earth's natural resources, social resources, institutional resources, and economic and financial resources. They present the vision and thinking of over 200 authors in support of efforts to solve the complex problems connected with sustainable development, and to secure perennial life support on "The Blue Planet'. These contributions are holistic, informative, forward looking, and will be of interest to a broad readership. This volume presents contributions with focus on the Natural and Social Dimensions of sustainable Development in to two sections: NATURAL SYSTEMS AND RESOURCES (Natural Systems and Climate Change ; - Natural Resources Management). - SOCIO-CULTURAL ISSUES (Human Security, Peace, and Socio-Cultural issues; Equity and Ethical issues).