Download or read book Propagation of Plane Waves of Finite Amplitude in Inhomogeneous Media with Applications to Vertical Propagation in the Ocean written by Thomas W. Carlton and published by . This book was released on 1974 with total page 48 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the report the authors developed an approximate theory of propagation of plane progressive waves of finite amplitude in a medium with density, sound speed, and parameter of nonlinearity (B/A) varying along the path of propagation. It was found that this variation has two effects upon the wave. The first is a change in amplitude due to the variation in the impedance of the medium. The second is a change in the distance scale over which nonlinear effects develop. Once these two effects are accounted for, then this theory reduces in form to the theory of propagation in a homogeneous fluid, which theory is well developed.

Download or read book Finite Amplitude Noise Diffraction of an N Wave by a Circular Aperture and Vertical Propagation of Finite Amplitude Waves in the Ocean written by David T. Blackstock and published by . This book was released on 1974 with total page 20 pages. Available in PDF, EPUB and Kindle. Book excerpt: Basic research on finite amplitude sound waves has been carried out during 1973-74. The following three separate projects are summarized: propagation of finite-amplitude noise, diffraction of an N wave by a circular aperture, and propagation of plane waves of finite amplitude in inhomogeneous media with applications to vertical propagation in the ocean.

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1992 with total page 1572 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements written by and published by . This book was released on 1975-03 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Announcements Index written by and published by . This book was released on 1992 with total page 836 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Government Reports Annual Index written by and published by . This book was released on 1975 with total page 882 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Propagation of Waves of Finite Amplitude in Thermoviscous Media written by Ervin Y. Rodin and published by . This book was released on 1966 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Plane Wave Propagation Problems in Electrically Anisotropic and Inhomogeneous Media with Geophysical Applications written by and published by . This book was released on 2003 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: Boundary value problems required for modelling plane wave propagation in electrically anisotropic and inhomogeneous media relevant to the surface impedance methods in electromagnetic geophysics are formally posed and treated. For a homogeneous TM-type wave propagating in a half space with both vertical and horizontal inhomogeneities where the TM-type wave is aligned with one of the elements of the conductivity tensor, it is shown using exact solutions that the shearing term in the homogeneous Helmholtz equation for inclined anisotropic media: [Equation 1], unequivocally vanishes and solutions need only be sought to the homogeneous Helmholtz equation for biaxial media: [Equation 2]. -- This implies that those problems posed with an inclined uniaxial conductivity tensor can be identically stated with a fundamental biaxial conductivity tensor, provided that the conductivity values are the reciprocal of the diagonal terms from the Euler rotated resistivity tensor: [Equation 3], [Equation 4], [Equation 5]. -- The applications of this consequence for numerical methods of solving arbitrary two-dimensional problems for a homogeneous TM-type wave is that they need only to approximate the homogeneous Helmholtz equation and neglect the corresponding shearing term. The self-consistent impedance method, a two-dimensional finite-difference approximation based on a network analogy, is demonstrated to accurately solve for problems with inclined uniaxial anisotropy using the fundamental biaxial anisotropy equivalence. -- The problem of a homogeneous plane wave at skew incidence upon an inclined anisotropic half space is then formally treated. In the half space, both TM- and TE-type waves are coupled and the linearly polarised incident TM- and TE-type waves reflect TE- and TM-type components. Equations for all elements of the impedance tensor are derived for both TM- and TE-type incidence. This offers potential as a method of predicting the direction of anisotropic strike from tensor impedance measurements in sedimentary environments.

Download or read book Waves in Layered Media written by Leonid Brekhovskikh and published by Elsevier. This book was released on 2012-12-02 with total page 575 pages. Available in PDF, EPUB and Kindle. Book excerpt: Waves in Layered Media focuses on the theory of the propagation of elastic and electromagnetic waves in layered media. This book presents a complete report of Soviet researches on wave propagation through layered media. Organized into six chapters, this book starts with an overview of the theory of wave reflection from layers and interfaces. This text then examines the some of the representations and methods, which are common to different branches of physics. Other chapters define the reflection reduction of optical waves as the lowering of the reflection coefficient at the air–glass boundaries by depositing thin layers of several materials on the glass. This book discusses as well the field of a concentrated source situated in a layered-inhomogeneous medium, which is one of the main problems in modern radiophysics, acoustics, and the physics of the Earth's crust. The final chapter deals with wave propagation in layered-inhomogeneous media. This book is a valuable resource for engineers, scientists, and physicists.

Download or read book Wave Propagation in Complex Media written by George Papanicolaou and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 301 pages. Available in PDF, EPUB and Kindle. Book excerpt: This IMA Volume in Mathematics and its Applications WAVE PROPAGATION IN COMPLEX MEDIA is based on the proceedings of two workshops: • Wavelets, multigrid and other fast algorithms (multipole, FFT) and their use in wave propagation and • Waves in random and other complex media. Both workshops were integral parts of the 1994-1995 IMA program on "Waves and Scattering." We would like to thank Gregory Beylkin, Robert Burridge, Ingrid Daubechies, Leonid Pastur, and George Papanicolaou for their excellent work as organizers of these meetings. We also take this opportunity to thank the National Science Foun dation (NSF), the Army Research Office (ARO, and the Office of Naval Research (ONR), whose financial support made these workshops possible. A vner Friedman Robert Gulliver v PREFACE During the last few years the numerical techniques for the solution of elliptic problems, in potential theory for example, have been drastically improved. Several so-called fast methods have been developed which re duce the required computing time many orders of magnitude over that of classical algorithms. The new methods include multigrid, fast Fourier transforms, multi pole methods and wavelet techniques. Wavelets have re cently been developed into a very useful tool in signal processing, the solu tion of integral equation, etc. Wavelet techniques should be quite useful in many wave propagation problems, especially in inhomogeneous and nonlin ear media where special features of the solution such as singularities might be tracked efficiently.

Download or read book Wave Propagation in Solid and Porous Half Space Media written by Hamid R. Hamidzadeh and published by Springer Science & Business. This book was released on 2014-04-26 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book covers advanced topics in dynamic modeling of soil-foundation interaction, as well as the response of elastic semi-infinite media from an applications viewpoint. Advanced concepts such as solutions for analysis of elastic semi-infinite mediums, fluid motion in porous media, and nonlinearities in dynamic behavior are explained in great detail. Related theories and numerical analysis for vertical vibration, and rocking vibration of a rigid rectangular mass-less plate, and horizontal vibration of a rigid mass-less plate are presented. Throughout the book, a strong emphasis is placed on applications, and a laboratory model for elastic half-space medium is provided.

Download or read book Wave Propagation and Scattering in Random Media written by Akira Ishimaru and published by Elsevier. This book was released on 2013-06-11 with total page 272 pages. Available in PDF, EPUB and Kindle. Book excerpt: Wave Propagation and Scattering in Random Media, Volume 1: Single Scattering and Transport Theory presents the fundamental formulations of wave propagation and scattering in random media in a unified and systematic manner, as well as useful approximation techniques applicable to a variety of different situations. The emphasis is on single scattering theory and transport theory. The reader is introduced to the fundamental concepts and useful results of the statistical wave propagation theory. This volume is comprised of 13 chapters, organized around three themes: waves in random scatterers, waves in random continua, and rough surface scattering. The first part deals with the scattering and propagation of waves in a tenuous distribution of scatterers, using the single scattering theory and its slight extension to explain the fundamentals of wave fluctuations in random media without undue mathematical complexities. Many practical problems of wave propagation and scattering in the atmosphere, oceans, and other random media are discussed. The second part examines transport theory, also known as the theory of radiative transfer, and includes chapters on wave propagation in random particles, isotropic scattering, and the plane-parallel problem. This monograph is intended for engineers and scientists interested in optical, acoustic, and microwave propagation and scattering in atmospheres, oceans, and biological media.

Download or read book Wave Propagation in Random Media written by Joseph Bishop Keller and published by . This book was released on 1960 with total page 46 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book A Theoretical and Experimental Study of the Propagation of Plane Finite Amplitude Waves in Real Fluids written by William Wright Lester and published by . This book was released on 1963 with total page 174 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Download or read book Propagation of Plane Compressional Waves of Finite Amplitude in Real Fluids a Theoretical Approach by the Method of Implicit Functions written by Yen Fu Bow and published by . This book was released on 1964 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt: A theory is formulated describing the distortion of a plane, initially sinusoidal, compressional wave (or sound wave) of finite amplitude traveling through a real (nonlinear and dissipative) fluid medium which is initially undisturbed. The development of the theory consists of two steps. The first step is to find a closed-form approximate solution (expressed as an implicit functional relation) to the onedimensional hydrodynamical equations and the equation of the medium, and the second step is to improve this approximate solution by using certain physical insights. From the existence theorem of implicit functions a single condition is obtained from which the general behavior of sound propagation in a dissipative medium can be easily understood. The approximate solution found in the first step is in fairly good agreement with the experimental results and is compatible with previous theories. (Author).

Download or read book Propagation of Waves written by P. David and published by Elsevier. This book was released on 2013-10-22 with total page 345 pages. Available in PDF, EPUB and Kindle. Book excerpt: Propagation of Waves focuses on the wave propagation around the earth, which is influenced by its curvature, surface irregularities, and by passage through atmospheric layers that may be refracting, absorbing, or ionized. This book begins by outlining the behavior of waves in the various media and at their interfaces, which simplifies the basic phenomena, such as absorption, refraction, reflection, and interference. Applications to the case of the terrestrial sphere are also discussed as a natural generalization. Following the deliberation on the diffraction of the “ground wave around the earth, this text summarizes the role and properties of the troposphere and ionosphere from a general physical point of view. Examples and maps are provided to illustrate the use of the various methods in the determination of ranges or favorable wavelengths. A brief discussion on problems encountered in the field of space communications is also included. This publication is a good source for students and individuals researching on wave propagation, specifically on the principles of radiation and propagation in a homogeneous, isotropy, and lossless dielectric.

Download or read book A Method of Solving the Integral Equations for the Vertical Propagation of Time harmonic Plane Waves in Anisotropic Vertically inhomogeneous Non Magnetic Media written by J. M. Tomlinson and published by . This book was released on 1958 with total page 59 pages. Available in PDF, EPUB and Kindle. Book excerpt: