Read e-book online Fundamentals of General Linear Acoustics PDF

By Finn Jacobsen, Peter Moller Juhl

ISBN-10: 1118346416

ISBN-13: 9781118346419

ISBN: 1118346416
EAN: 9781118346419
ASIN: 1118346416
Publisher: Wiley
Publication Date: 2013-07-29
Number of Pages: 300

Acoustics offers with the construction, regulate, transmission, reception, and results of sound. due to acoustics being an interdisciplinary box, this e-book is meant to be both available to readers from various backgrounds together with electric engineering, physics and mechanical engineering.
This publication introduces the basics of acoustic wave movement. It addresses in a transparent and systematic means the most tough elements of acoustics for newcomers, akin to the generally diversified approximations because of the large frequency diversity, the it sounds as if arbitrary selection among using analytical options to the wave equation with boundary stipulations, and the essentially diversified energy-based concerns utilized in noise regulate. therefore, it offers readers with a self-contained resource of knowledge on acoustics which might be used for self-study or as a graduate direction text.

Key features:

Places an emphasis on specified derivations according to the basic legislation of physics and interpretations of the ensuing formulas.

Avoids, the place attainable, electric and mechanical an identical circuits, so that it will make it obtainable to readers with assorted backgrounds.

Introduces duct acoustics, sound in enclosures, and sound radiation and scattering.

Contains a collection of appendices consisting of fabric on sign research and processing as those instruments are crucial for the fashionable acoustician.

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43 Data Collection and PET System Configurations In the manufacturing of the detectors in a PET system using discrete detector elements or block detectors, a small gap is always between the detector elements due to the need for reflective material on the detector walls and/or detector encapsulation. This dead space will produce a reduction in the overall efficiency and is referred to as the packing fraction (␸). The packing fraction is the ratio of the detector element area (width of detector element by axial height of detector element) to the total surface area, including the dead space: width ϫ height ␸ ϭ ᎏᎏᎏᎏᎏ (width ϩ deadspace) ϫ (height ϩ deadspace) (22) The overall system sensitivity, ␩, for a point source placed at the center of a ring scanner is the product of the square of the detection efficiency ␧ and the geometric efficiency ␸ ϫ ⍀.

The drawback of this method is that the axial resolution at the edge of the FOV is significantly degraded due to the geometric divergence of the lines of response that are contributing to a particular image plane. 40,41 In addition, the axial sensitivity drops off rapidly at the edge of the axial FOV because no additional crossplane combinations can be added to the planes at the axial extremes. In 2-D data acquisition, the data from the selected coincidence planes are averaged to produce a set of 2N Ϫ 1 parallel sinograms, each of which can be used to reconstruct a cross-sectional image.

The wide-open geometry of 3-D acquisition and lack of interplane septa results in a three- to fourfold increase in the fraction of scattered events detected. Furthermore, noise due to the subtraction of random coincidences becomes a problem at lower activity concentrations than in 2-D because each detector sees more of the radioactivity in the body and, therefore, has a higher singles event rate. This leads to further challenges in accurately cor- Data Collection and PET System Configurations FIGURE 30.

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Fundamentals of General Linear Acoustics by Finn Jacobsen, Peter Moller Juhl


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