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Author: Igor T. Selezov Publisher: Springer ISBN: 9811049238 Category : Science Languages : en Pages : 241
Book Description
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
Author: Igor T. Selezov Publisher: Springer ISBN: 9811049238 Category : Science Languages : en Pages : 241
Book Description
This book presents two distinct aspects of wave dynamics – wave propagation and diffraction – with a focus on wave diffraction. The authors apply different mathematical methods to the solution of typical problems in the theory of wave propagation and diffraction and analyze the obtained results. The rigorous diffraction theory distinguishes three approaches: the method of surface currents, where the diffracted field is represented as a superposition of secondary spherical waves emitted by each element (the Huygens–Fresnel principle); the Fourier method; and the separation of variables and Wiener–Hopf transformation method. Chapter 1 presents mathematical methods related to studying the problems of wave diffraction theory, while Chapter 2 deals with spectral methods in the theory of wave propagation, focusing mainly on the Fourier methods to study the Stokes (gravity) waves on the surface of inviscid fluid. Chapter 3 then presents some results of modeling the refraction of surf ace gravity waves on the basis of the ray method, which originates from geometrical optics. Chapter 4 is devoted to the diffraction of surface gravity waves and the final two chapters discuss the diffraction of waves by semi-infinite domains on the basis of method of images and present some results on the problem of propagation of tsunami waves. Lastly, it provides insights into directions for further developing the wave diffraction theory.
Author: J.J Stamnes Publisher: Routledge ISBN: 1351404695 Category : Science Languages : en Pages : 618
Book Description
Using numerous mathematical and numerical techniques of diffraction theory, Waves in Focal Regions: Propagation, Diffraction and Focusing of Light, Sound and Water Waves provides a full and richly illustrated description of waves in focal regions. Unlike most books, the author treats electromagnetic, acoustic, and water waves in one comprehensive volume. After an introductory section, the book describes approximate diffraction theories and efficient numerical methods to study the focusing of various kinds of waves. It then covers the physical interpretation of the theories, their accuracy, and the computational savings obtained, emphasizing uniform asymptotic results that remain valid in the vicinity of shadow boundaries and caustics. The next part deals with the focusing of scalar waves, including thorough theoretical analyses and detailed contour maps of diffraction patterns in focal regions for a variety of different system parameters, such as f-number, Frensel number, aperture shape, amplitude distribution, and wavefront aberration. The author proceeds to explore the diffraction and focusing of electromagnetic waves. First solutions are derived for fields radiated by sources, reflected and refracted at plane interfaces, or diffracted by apertures in plane screens, and then these solutions are applied to study the focusing in homogeneous media and through a plane dielectric interface. In both cases, the author includes many computed results of the electromagnetic field distribution near focus. Presenting both theoretical and experimental results, the following part examines the focusing of sound and water waves by means of zone-plate lenses. The book concludes with a detailed study of the diffraction and focusing of water waves and a comparison of the results of both linear and nonlinear theories with those of experiments.
Author: A. S. Ilyinski Publisher: ISBN: Category : Anisotropy Languages : en Pages :
Book Description
The following topics are dealt with:surface-impedance technique; dissipation processes; finite conductivity; waveguides; resonators; electromagnetic-wave diffraction; eigenmodes; anisotropic media; and finitely conducting walls
Author: Guy Chavent Publisher: Springer ISBN: 9783662141533 Category : Science Languages : en Pages : 384
Book Description
This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.
Author: Guy Chavent Publisher: Springer ISBN: Category : Mathematics Languages : en Pages : 408
Book Description
This book describes the state of the art in the field of modeling and solving numerically inverse problems of wave propagation and diffraction. It addresses mathematicians, physicists and engineers as well. Applications in such fields as acoustics, optics, and geophysics are emphasized. Of special interest are the contributions to two and three dimensional problems without reducing symmetries. Topics treated are the obstacle problem, scattering by classical media, and scattering by distributed media.
Author: J. Petykiewicz Publisher: ISBN: Category : Science Languages : en Pages : 472
Book Description
In this volume the properties of light waves in isotropic and anisotropic media are discussed on the basis of the electromagnetic nature of light. Diffraction of light is described for scalar waves and electromagnetic waves using theories like Kirchhoff's diffraction theory, the boundary diffraction wave of Young--Rubinowicz, the Larmor--Lorentz principle, etc. A unified approach involving Fourier optics is adapted to describe the diffractive theory of image formation. The basic principles of the Rayleigh scattering are discussed and the essence of various processes of scattering of light as well as their classification are included. Further topics include: the influence of spatial dispersion on wave propagation physical principles of holography nonlinear optical effects geometrical approximation in optics elements of optical planar waveguides. P The book will be of interest to researchers in optoelectronics and optical engineering and graduate students in physics and engineering.
Author: Igor T. Selezov
Author: Igor T. Selezov
Author: Vladimir Aleksandrovich Fok
Author: Nelson A. Logan
Author: J.J Stamnes
Author: A. S. Ilyinski
Author: Guy Chavent
Author: Avgustin Tuzhilin
Author: B. J. Uscinski
Author: Guy Chavent
Author: J. Petykiewicz