An Introduction to the Parabolic Equation for Acoustic Propagation

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Publisher :
ISBN 13 :
Total Pages : 45 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis An Introduction to the Parabolic Equation for Acoustic Propagation by : Alan B. Coppens

Download or read book An Introduction to the Parabolic Equation for Acoustic Propagation written by Alan B. Coppens and published by . This book was released on 1982 with total page 45 pages. Available in PDF, EPUB and Kindle. Book excerpt: The derivation of the parabolic wave equation for acoustic propagation is studied and presented pedagogically for tutorial purposes. The literature is reviewed and modifications to the parabolic equation to increase accuracy are mentioned. Some of the algorithms for computer implementations of the parabolic approximation are discussed qualitatively, and the various approaches to dealing properly with the density change between the water column and the bottom are examined. (Author).

Ocean Acoustic Propagation by Finite Difference Methods

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Publisher : Elsevier
ISBN 13 : 1483295699
Total Pages : 134 pages
Book Rating : 4.4/5 (832 download)

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Book Synopsis Ocean Acoustic Propagation by Finite Difference Methods by : D. Lee

Download or read book Ocean Acoustic Propagation by Finite Difference Methods written by D. Lee and published by Elsevier. This book was released on 2014-06-28 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: A concise guide to the theory and application of numerical methods for predicting ocean acoustic propagation, also providing an introduction to numerical methods, with an overview of those methods presently in use. An in-depth development of the implicit-finite-difference technique is presented together with bench-mark test examples included to demonstrate its application to realistic ocean environments. Other applications include atmospheric acoustics, plasma physics, quantum mechanics, optics and seismology.

Parabolic Equation Methods for Electromagnetic Wave Propagation

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Publisher : IET
ISBN 13 : 9780852967645
Total Pages : 360 pages
Book Rating : 4.9/5 (676 download)

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Book Synopsis Parabolic Equation Methods for Electromagnetic Wave Propagation by : Mireille Levy

Download or read book Parabolic Equation Methods for Electromagnetic Wave Propagation written by Mireille Levy and published by IET. This book was released on 2000 with total page 360 pages. Available in PDF, EPUB and Kindle. Book excerpt: Provides scientists and engineers with a tool for accurate assessment of diffraction and ducting on radio and radar systems. The author gives the mathematical background to parabolic equations modeling and describes simple parabolic equation algorithms before progressing to more advanced topics such as domain truncation, the treatment of impedance boundaries, and the implementation of very fast hybrid methods combining ray-tracing and parabolic equation techniques. The last three chapters are devoted to scattering problems, with application to propagation in urban environments and to radar-cross- section computation. Annotation copyrighted by Book News, Inc., Portland, OR

Radio Wave Propagation and Parabolic Equation Modeling

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Publisher : John Wiley & Sons
ISBN 13 : 1119432111
Total Pages : 167 pages
Book Rating : 4.1/5 (194 download)

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Book Synopsis Radio Wave Propagation and Parabolic Equation Modeling by : Gokhan Apaydin

Download or read book Radio Wave Propagation and Parabolic Equation Modeling written by Gokhan Apaydin and published by John Wiley & Sons. This book was released on 2017-10-16 with total page 167 pages. Available in PDF, EPUB and Kindle. Book excerpt: An important contribution to the literature that introduces powerful new methods for modeling and simulating radio wave propagation A thorough understanding of electromagnetic wave propagation is fundamental to the development of sophisticated communication and detection technologies. The powerful numerical methods described in this book represent a major step forward in our ability to accurately model electromagnetic wave propagation in order to establish and maintain reliable communication links, to detect targets in radar systems, and to maintain robust mobile phone and broadcasting networks. The first new book on guided wave propagation modeling and simulation to appear in nearly two decades, Radio Wave Propagation and Parabolic Equation Modeling addresses the fundamentals of electromagnetic wave propagation generally, with a specific focus on radio wave propagation through various media. The authors explore an array of new applications, and detail various virtual electromagnetic tools for solving several frequent electromagnetic propagation problems. All of the methods described are presented within the context of real-world scenarios typifying the differing effects of various environments on radio-wave propagation. This valuable text: Addresses groundwave and surface wave propagation Explains radar applications in terms of parabolic equation modeling and simulation approaches Introduces several simple and sophisticated MATLAB scripts Teaches applications that work with a wide range of electromagnetic, acoustic and optical wave propagation modeling Presents the material in a quick-reference format ideal for busy researchers and engineers Radio Wave Propagation and Parabolic Equation Modeling is a critical resource forelectrical, electronics, communication, and computer engineers working on industrial and military applications that rely on the directed propagation of radio waves. It is also a useful reference for advanced engineering students and academic researchers.

Numerical Ocean Acoustic Propagation in Three Dimensions

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Publisher : World Scientific
ISBN 13 : 9789810223038
Total Pages : 224 pages
Book Rating : 4.2/5 (23 download)

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Book Synopsis Numerical Ocean Acoustic Propagation in Three Dimensions by : Ding Lee

Download or read book Numerical Ocean Acoustic Propagation in Three Dimensions written by Ding Lee and published by World Scientific. This book was released on 1995 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a comprehensive mathematical formulation of the three-dimensional ocean acoustic propagation problem by means of functional and operator splitting techniques in conjunction with rational function approximations. It presents various numerical solutions of the model equation such as finite difference, alternating direction and preconditioning. The detailed analysis of the concept of 3D, N x 2D and 2D problems is very useful not only mathematically and physically, but also computationally. The inclusion of a complete detailed listing of proven computer codes which have been in use by a number of universities and research organizations worldwide makes this book a valuable reference source. Advanced knowledge of numerical methods, applied mathematics and ocean acoustics is not required to understand this book. It is oriented toward graduate students and research scientists to use for research and application purposes.

A Corrected Parabolic-Equation Program Package for Acoustic Propagation

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Publisher :
ISBN 13 :
Total Pages : 27 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis A Corrected Parabolic-Equation Program Package for Acoustic Propagation by : John S. Perkins

Download or read book A Corrected Parabolic-Equation Program Package for Acoustic Propagation written by John S. Perkins and published by . This book was released on 1978 with total page 27 pages. Available in PDF, EPUB and Kindle. Book excerpt: This report documents a package of computer programs which solves the parabolic equation for acoustic propagation using a split-step algorithm. These programs are implemented on the Texas Instruments ASC at NRL, and make use of its pipelining and vectorizing capabilities. They include the ability to partially correct for the errors induced by the parabolic assumptions. The report contains a summary of the theory and information on how to run the programs. (Author).

Solutions of Acoustic Wave Propagation in the Ocean by the Parabolic Approximation to the Wave Equation

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Publisher :
ISBN 13 :
Total Pages : 164 pages
Book Rating : 4.:/5 (163 download)

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Book Synopsis Solutions of Acoustic Wave Propagation in the Ocean by the Parabolic Approximation to the Wave Equation by : Patrick Michael Volk

Download or read book Solutions of Acoustic Wave Propagation in the Ocean by the Parabolic Approximation to the Wave Equation written by Patrick Michael Volk and published by . This book was released on 1975 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Parabolic Equation Method for Outdoor Sound Propagation

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Publisher :
ISBN 13 :
Total Pages : 163 pages
Book Rating : 4.:/5 (257 download)

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Book Synopsis The Parabolic Equation Method for Outdoor Sound Propagation by : Marta Galindo Arranz

Download or read book The Parabolic Equation Method for Outdoor Sound Propagation written by Marta Galindo Arranz and published by . This book was released on 1996 with total page 163 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Report

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ISBN 13 :
Total Pages : pages
Book Rating : 4.:/5 (912 download)

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Book Synopsis Report by : Marta Galindo Arranz

Download or read book Report written by Marta Galindo Arranz and published by . This book was released on 1996 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:

Application of the Parabolic Equation to Sound Propagation in a Refractive Atmosphere

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Publisher :
ISBN 13 :
Total Pages : 198 pages
Book Rating : 4.:/5 (212 download)

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Book Synopsis Application of the Parabolic Equation to Sound Propagation in a Refractive Atmosphere by : Michael James White

Download or read book Application of the Parabolic Equation to Sound Propagation in a Refractive Atmosphere written by Michael James White and published by . This book was released on 1988 with total page 198 pages. Available in PDF, EPUB and Kindle. Book excerpt:

The Use of the Parabolic Equation Method in Sound Propagation Modelling

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Publisher :
ISBN 13 :
Total Pages : 50 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis The Use of the Parabolic Equation Method in Sound Propagation Modelling by : Finn Jensen

Download or read book The Use of the Parabolic Equation Method in Sound Propagation Modelling written by Finn Jensen and published by . This book was released on 1975 with total page 50 pages. Available in PDF, EPUB and Kindle. Book excerpt: The parabolic equation method (PE method) is the latest major development in the field of acoustic modelling. A detailed description of the derivation of the parabolic equation from the wave equation is given together with a description of a marching solution technique based on Fast Fourier Transforms (FFT). Limitations on the method in terms of allowable step length in range, number of FFT points to be used, and restrictions on pressure field behaviour in order to obtain a stable solution, are mentioned. Furthermore, numerical examples of propagation predictions are given for both shallow and deep water cases, with and without bottom absorption, and for both range-dependent and range-independent environmental conditions.

Fast Parabolic Approximations for Acoustic Propagation in the Atmosphere

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ISBN 13 :
Total Pages : 68 pages
Book Rating : 4.:/5 (227 download)

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Book Synopsis Fast Parabolic Approximations for Acoustic Propagation in the Atmosphere by :

Download or read book Fast Parabolic Approximations for Acoustic Propagation in the Atmosphere written by and published by . This book was released on 1995 with total page 68 pages. Available in PDF, EPUB and Kindle. Book excerpt: Parabolic equations can be used to find approximate solutions to the reduced wave equation. By reducing the equation to first order in the range derivative, the solution can be found by marching forward in range. Several numerical techniques can be applied to the solution of the parabolic equation (PE), including finite elements, finite differences, and a Fourier Transform method known as the split-step PE. The split-step solves for each range increment in two steps. First, it propagates forward through a homogenous atmosphere, using the Fourier Transform. It then applies a multiplicative phase correction for index-of-refraction variations. The split-step method leads to a computationally fast model for two reasons: the range steps are several wavelengths, and the Fourier Transform can be evaluated by a Fast Fourier Transform. One of the difficulties encountered in applying the split-step PE to outdoor sound propagation is accommodation of the complex ground impedance. The Green's function PE is a split-step PE which solves for the one-dimensional height-dependant Green's function in a homogenous atmosphere. This Green's function incorporates the complex ground impedance as a complex, angle-dependant plane-wave reflection coefficient. (AN).

Fundamentals of Geophysical Data Processing

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Publisher : McGraw-Hill Companies
ISBN 13 :
Total Pages : 296 pages
Book Rating : 4.:/5 (42 download)

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Book Synopsis Fundamentals of Geophysical Data Processing by : Jon F. Claerbout

Download or read book Fundamentals of Geophysical Data Processing written by Jon F. Claerbout and published by McGraw-Hill Companies. This book was released on 1976 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Joint Acoustic Propagation Experiment (JAPE-91) Workshop

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Publisher :
ISBN 13 :
Total Pages : 206 pages
Book Rating : 4.3/5 (126 download)

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Book Synopsis Joint Acoustic Propagation Experiment (JAPE-91) Workshop by :

Download or read book Joint Acoustic Propagation Experiment (JAPE-91) Workshop written by and published by . This book was released on 1993 with total page 206 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Theoretical And Computational Acoustics '95

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Publisher : World Scientific
ISBN 13 : 9814547794
Total Pages : 581 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Theoretical And Computational Acoustics '95 by : Ding Lee

Download or read book Theoretical And Computational Acoustics '95 written by Ding Lee and published by World Scientific. This book was released on 1996-08-30 with total page 581 pages. Available in PDF, EPUB and Kindle. Book excerpt: This conference provided a forum for active researchers to discuss the state-of-the-art in theoretical and computational acoustics. Topics covered fluid/elastic interface-theoretical and computational aspects with applications, seismic waves and earthquake studies, modeling, theoretical and computational aspects for multidimensional wave propagation, methods for computational acoustics, structural acoustics, scattering and inverse problems, solutions to acoustic problems by supercomputers and parallel processing, and application of neural networks to acoustics.

Scientific and Technical Aerospace Reports

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Publisher :
ISBN 13 :
Total Pages : 704 pages
Book Rating : 4.:/5 (31 download)

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Book Synopsis Scientific and Technical Aerospace Reports by :

Download or read book Scientific and Technical Aerospace Reports written by and published by . This book was released on 1995 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Wave and Extra-wide-angle Parabolic Equations for Sound Propagation in a Moving Atmosphere

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Publisher :
ISBN 13 :
Total Pages : 16 pages
Book Rating : 4.:/5 (12 download)

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Book Synopsis Wave and Extra-wide-angle Parabolic Equations for Sound Propagation in a Moving Atmosphere by : Vladimir E. Ostashev

Download or read book Wave and Extra-wide-angle Parabolic Equations for Sound Propagation in a Moving Atmosphere written by Vladimir E. Ostashev and published by . This book was released on 2020 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The narrow-angle parabolic equation (NAPE) with the effective sound speed approximation (ESSA) is widely used for sound and infrasound propagation in a moving medium such as the atmosphere. However, it is valid only for angles less than 20° with respect to the nominal propagation direction. In this paper, the wave equation and extra-wide-angle parabolic equation (EWAPE) for high-frequency (short-wavelength) sound waves in a moving medium with arbitrary Mach numbers are derived without the ESSA. For relatively smooth variations in the medium velocity, the EWAPE is valid for propagation angles up to 90°. Using the Padé (n,n) series expansion and narrow-angle approximation, the EWAPE is reduced to the wide-angle parabolic equation (WAPE) and NAPE. Versions of these equations are then formulated for low Mach numbers, which is the case that is usually considered in the literature. The phase errors pertinent to the equations considered are studied. It is shown that the equations for low Mach numbers and the WAPE with the ESSA are applicable only under rather restrictive conditions on the medium velocity. An effective numerical implementation of the WAPE for arbitrary Mach numbers in the Padé (1,1) approximation is developed and applied to sound propagation in the atmosphere.