K-Space Formulation of the Two-Dimensional Electromagnetic Scattering Problem

K-Space Formulation of the Two-Dimensional Electromagnetic Scattering Problem

Author: Charles H Krueger (Jr)

Publisher:

Published: 1973

Total Pages: 115

ISBN-13:

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The Air Force has become increasingly interested in the numerical solution of electromagnetic scattering and radiation problems as a means of reducing the cost and time associated with the experimental solution of such problems. In the frequency range where body dimensions are comparable to the wavelength of the illuminating electromagnetic energy, it has been found that moment methods provide satisfactory numerical solutions to these problems. However, as the body dimensions become larger than, say two or three wavelengths, the computation time and computer memory size associated with moment methods become prohibitive. The method of solution described in the report is designed to significantly reduce both computation time and memory size required for moment method calculations. (Author).


K-Space Formulation of the Electromagnetic Scattering Problem

K-Space Formulation of the Electromagnetic Scattering Problem

Author: Norbert N. Bojarski

Publisher:

Published: 1971

Total Pages: 216

ISBN-13:

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The Electromagnetic Scattering problem is solved by means of a k-space formulation of the Electromagnetic Field equations, thereby replacing the conventional integral equation formulation of the scattering problem by a set of two algebraic equations in two unknowns in two spaces (the constitutive equation being an algebraic equation in x-space). These equations are solved by an iterative method executed with the aid of Fast Fourier Transform (FFT) algorithm connecting the two spaces, requiring very simple zero order initial approximations. Since algebraic and FFT equations are used, the number of arithmetic multiply-add operations and storage allocations required for a numerical solution is reduced from the order of N squared (for solving the matrix equations resulting from the conventional integral equations) to the order of N log(sub 2)N (where N is the number of data points required for the specification of the scatterer). The advantage gained in speed and storage is thus of the order of N/log(sub 2)N and N respectively. This method is thus considerably more efficient, and permits exact numerical solutions for much larger scatterers, than possible with the conventional matrix method. (Author).


Scattering, Two-Volume Set

Scattering, Two-Volume Set

Author: E. R. Pike

Publisher: Elsevier

Published: 2001-10-09

Total Pages: 1831

ISBN-13: 0080540732

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Scattering is the collision of two objects that results in a change of trajectory and energy. For example, in particle physics, such as electrons, photons, or neutrons are "scattered off" of a target specimen, resulting in a different energy and direction. In the field of electromagnetism, scattering is the random diffusion of electromagnetic radiation from air masses is an aid in the long-range sending of radio signals over geographic obstacles such as mountains. This type of scattering, applied to the field of acoustics, is the spreading of sound in many directions due to irregularities in the transmission medium. Volume I of Scattering will be devoted to basic theoretical ideas, approximation methods, numerical techniques and mathematical modeling. Volume II will be concerned with basic experimental techniques, technological practices, and comparisons with relevant theoretical work including seismology, medical applications, meteorological phenomena and astronomy. This reference will be used by researchers and graduate students in physics, applied physics, biophysics, chemical physics, medical physics, acoustics, geosciences, optics, mathematics, and engineering. This is the first encyclopedic-range work on the topic of scattering theory in quantum mechanics, elastodynamics, acoustics, and electromagnetics. It serves as a comprehensive interdisciplinary presentation of scattering and inverse scattering theory and applications in a wide range of scientific fields, with an emphasis, and details, up-to-date developments. Scattering also places an emphasis on the problems that are still in active current research. The first interdisciplinary reference source on scattering to gather all world expertise in this technique Covers the major aspects of scattering in a common language, helping to widening the knowledge of researchers across disciplines The list of editors, associate editors and contributors reads like an international Who's Who in the interdisciplinary field of scattering


Bioengineering and Biophysical Aspects of Electromagnetic Fields

Bioengineering and Biophysical Aspects of Electromagnetic Fields

Author: Ben Greenebaum

Publisher: CRC Press

Published: 2018-10-03

Total Pages: 482

ISBN-13: 1420009478

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Bioengineering and Biophysical Aspects of Electromagnetic Fields primarily contains discussions on the physics, engineering, and chemical aspects of electromagnetic (EM) fields at both the molecular level and larger scales, and investigates their interactions with biological systems. The first volume of the bestselling and newly updated Handbook of Biological Effects of Electromagnetic Fields, Third Edition, this book adds material describing recent theoretical developments, as well as new data on material properties and interactions with weak and strong static magnetic fields. Newly separated and expanded chapters describe the external and internal electromagnetic environments of organisms and recent developments in the use of RF fields for imaging. Bioengineering and Biophysical Aspects of Electromagnetic Fields provides an accessible overview of the current understanding on the scientific underpinnings of these interactions, as well as a partial introduction to experiments on the interactions themselves.


Modern Electromagnetic Scattering Theory with Applications

Modern Electromagnetic Scattering Theory with Applications

Author: Andrey V. Osipov

Publisher: John Wiley & Sons

Published: 2017-04-17

Total Pages: 824

ISBN-13: 0470512385

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This self-contained book gives fundamental knowledge about scattering and diffraction of electromagnetic waves and fills the gap between general electromagnetic theory courses and collections of engineering formulas. The book is a tutorial for advanced students learning the mathematics and physics of electromagnetic scattering and curious to know how engineering concepts and techniques relate to the foundations of electromagnetics