Mathematical Methods in Science and Engineering: Applications in Optics and Photonics, Masud Mansuripur
Автор: Riley Название: Mathematical Methods for Physics and Engineering ISBN: 0521679710 ISBN-13(EAN): 9780521679718 Издательство: Cambridge Academ Рейтинг: Цена: 7920.00 р. Наличие на складе: Есть (1 шт.) Описание: This highly acclaimed undergraduate textbook teaches all the mathematics for undergraduate courses in the physical sciences. Containing over 800 exercises, half come with hints and answers and, in a separate manual, complete worked solutions. The remaining exercises are intended for unaided homework; full solutions are available to instructors.
Автор: Habib Ammari , Brian Fitzpatrick, Hyeonbae Kang et al Название: Mathematical and computational methods in photonics and phononics / ISBN: 1470448009 ISBN-13(EAN): 9781470448004 Издательство: Mare Nostrum (Eurospan) Рейтинг: Цена: 17431.00 р. Наличие на складе: Нет в наличии.
Описание: The fields of photonics and phononics encompass the fundamental science of light and sound propagation and interactions in complex structures, as well as its technological applications. This book reviews new and fundamental mathematical tools, computational approaches, and inversion and optimal design methods to address challenging problems in photonics and phononics.An emphasis is placed on analyzing sub-wavelength resonators, super-focusing and super-resolution of electromagnetic and acoustic waves, photonic and phononic crystals, electromagnetic cloaking, and electromagnetic and elastic metamaterials and metasurfaces. Throughout this book, the authors demonstrate the power of layer potential techniques for solving challenging problems in photonics and phononics when they are combined with asymptotic analysis. This book might be of interest to researchers and graduate students working in the fields of applied and computational mathematics, partial differential equations, electromagnetic theory, elasticity, integral equations, and inverse and optimal design problems in photonics and phononics.
Описание: Assembling an international team of experts, this book reports on the progress in the rapidly growing field of monolithic micro- and nanoresonators. The book opens with a chapter on photonic crystal-based resonators (nanocavities). It goes on to describe resonators in which the closed trajectories of light are supported by any variety of total internal reflection in curved and polygonal transparent dielectric structures.
The book also covers distributed feedback microresonators for slow light, controllable dispersion, and enhanced nonlinearity. A portion of coverage is dedicated to the unique properties of resonators, which are extremely efficient tools when conducting multiple applications.
Описание: This book is summarizing the results of the workshop "Uniform Distribution and Quasi-Monte Carlo Methods" of the RICAM Special Semester on "Applications of Algebra and Number Theory" in October 2013. The survey articles in this book focus on number theoretic point constructions, uniform distribution theory, and quasi-Monte Carlo methods. As deterministic versions of the Monte Carlo method, quasi-Monte Carlo rules enjoy increasing popularity, with many fruitful applications in mathematical practice, as for example in finance, computer graphics, and biology. The goal of this book is to give an overview of recent developments in uniform distribution theory, quasi-Monte Carlo methods, and their applications, presented by leading experts in these vivid fields of research.
Автор: Israel Gohberg; Antonio, F. dos Santos; Frank-Olme Название: Operator Theoretical Methods and Applications to Mathematical Physics ISBN: 3764366346 ISBN-13(EAN): 9783764366346 Издательство: Springer Рейтинг: Цена: 16769.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание: This volume is devoted to the life and work of the applied mathematician Professor Erhard Meister (1930-2001). He was a member of the editorial boards of this book series Operator The- ory: Advances and Applications as well as of the journal Integral Equations and Operator Theory, both published by Birkhauser (now part of Springer-Verlag).
Автор: Faina Berezovskaya; Bourama Toni Название: Advanced Mathematical Methods in Biosciences and Applications ISBN: 3030157148 ISBN-13(EAN): 9783030157142 Издательство: Springer Рейтинг: Цена: 13974.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
Featuring contributions from experts in mathematical biology and biomedical research, this edited volume covers a diverse set of topics on mathematical methods and applications in the biosciences. Topics focus on advanced mathematical methods, with chapters on the mathematical analysis of the quasispecies model, Arnold’s weak resonance equation, bifurcation analysis, and the Tonnelier-Gerstner model. Special emphasis is placed on applications such as natural selection, population heterogeneity, polyvariant ontogeny in plants, cancer dynamics, and analytical solutions for traveling pulses and wave trains in neural models. A survey on quasiperiodic topology is also presented in this book.
Carefully peer-reviewed, this volume is suitable for students interested in interdisciplinary research. Researchers in applied mathematics and the biosciences will find this book an important resource on the latest developments in the field. In keeping with the STEAM-H series, the editors hope to inspire interdisciplinary understanding and collaboration.
Автор: Mentzer Название: Applied Optics Fundamentals and Device Applications ISBN: 1138118109 ISBN-13(EAN): 9781138118102 Издательство: Taylor&Francis Рейтинг: Цена: 11789.00 р. Наличие на складе: Есть у поставщика Поставка под заказ.
Описание:
How does the field of optical engineering impact biotechnology?
Perhaps for the first time, Applied Optics Fundamentals and Device Applications: Nano, MOEMS, and Biotechnology answers that question directly by integrating coverage of the many disciplines and applications involved in optical engineering, and then examining their applications in nanobiotechnology. Written by a senior U.S. Army research scientist and pioneer in the field of optical engineering, this book addresses the exponential growth in materials, applications, and cross-functional relevance of the many convergent disciplines making optical engineering possible, including nanotechnology, MEMS, (MOEMS), and biotechnology.
Integrates Coverage of MOEMS, Optics, and Nanobiotechnology--and Their Market Applications
Providing an unprecedented interdisciplinary perspective of optics technology, this book describes everything from core principles and fundamental relationships, to emerging technologies and practical application of devices and systems--including fiber-optic sensors, integrated and electro-optics, and specialized military applications. The author places special emphasis on:
Fiber sensor systems
Electro-optics and acousto-optics
Optical computing and signal processing
Optical device performance
Thin film magnetic memory
MEMS, MOEMS, nano- and bionanotechnologies
Optical diagnostics and imaging
Integrated optics
Design constraints for materials, manufacturing, and application space
Bridging the technology gaps between interrelated fields, this reference is a powerful tool for students, engineers and scientists in the electrical, chemical, mechanical, biological, aerospace, materials, and optics fields. Its value also extends to applied physicists and professionals interested in the relationships between emerging technologies and cross-disciplinary opportunities.
Author Mark A. Mentzer is a pioneer in the field of optical engineering. He is a senior research scientist at the U.S. Army Research Laboratory in Maryland. Much of his current work involves extending the fields of optical engineering and solid state physics into the realm of biochemistry and molecular biology, as well as structured research in biophotonics.
Most available books on computational electrodynamics are focused on FDTD, FEM, or other specific technique developed in microwave engineering. In contrast, Fourier Modal Method and Its Applications in Computational Nanophotonics is a complete guide to the principles and detailed mathematics of the up-to-date Fourier modal method of optical analysis. It takes readers through the implementation of MATLAB(R) codes for practical modeling of well-known and promising nanophotonic structures. The authors also address the limitations of the Fourier modal method.
Features
Provides a comprehensive guide to the principles, methods, and mathematics of the Fourier modal method
Explores the emerging field of computational nanophotonics
Presents clear, step-by-step, practical explanations on how to use the Fourier modal method for photonics and nanophotonics applications
Includes the necessary MATLAB codes, enabling readers to construct their own code
Using this book, graduate students and researchers can learn about nanophotonics simulations through a comprehensive treatment of the mathematics underlying the Fourier modal method and examples of practical problems solved with MATLAB codes.
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