Acoustical imaging : techniques and applications for by Woon Siong Gan

By Woon Siong Gan

''Acoustical Imaging begins with an advent to the fundamental theories and ideas of acoustics and acoustical imaging, then progresses to debate its diverse functions: nondestructive trying out, scientific imaging, underwater imaging and SONAR and geophysical exploration. the writer attracts jointly the various applied sciences, highlighting the similarities among subject components and their universal underlying concept. Some

''Introduces the fundamental theories and rules of acoustics and acoustical imaging''--Provided through publisher. Read more...

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Acoustical imaging : techniques and applications for engineers

''Acoustical Imaging begins with an advent to the fundamental theories and ideas of acoustics and acoustical imaging, then progresses to debate its diverse functions: nondestructive trying out, scientific imaging, underwater imaging and SONAR and geophysical exploration. the writer attracts jointly the several applied sciences, highlighting the similarities among subject components and their universal underlying thought.

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1966) Matrix Analysis of Framed Structures, 3rd edn, Springer-Verlag, New York. [7] Strang, G. and Fix, G. (1973) An Analysis of the Finite Element Method, Prentice Hall, New Jersey. C. (2008) The Method of Moments in Electromagnetics, Chapman & Hall/CRC, Florida, USA. 1 Introduction Methodologies of acoustical imaging can be classified into the following categories: (a) tomography, (b) holography, (c) pulse–echo and transmission modes and (d) acoustic microscopy. 2 Tomography The concept of acoustical tomography originated from X-ray computer-aided tomography, which is the first successful commercial application of tomography.

In order to provide a more comprehensive view and approach to acoustical tomography in this book, we will deal only with diffraction tomography. We will follow the approach of Mueller et al. [8]. For a more accurate representation of the physical processes involved in ultrasonic tomography we shall follow the treatment involving diffraction that takes place when the sound wavelength is much longer than the size of the scatterer. It is only when the sound wavelength is much less than the size of the scatterers that the geometrical optics arguments are valid.

For a signal that is a one-dimension sequence, it is usually represented as a vector u of size N, {u (n) , 0 ≤ n ≤ N − 1}. 5) n=0 where A−1 = A∗T (unitary). 6) is a series representation of the sequence u(n). The columns of A∗T , that is, the vectors a∗k = {a∗ (k, n) , 0 ≤ n ≤ N − 1}T are called the basis of A. The series coefficients P1: TIX/XYZ JWST175-c03 P2: ABC JWST175-Gan April 18, 2012 9:26 18 Printer Name: Yet to Come Acoustical Imaging: Techniques and Applications for Engineers v(k) give a representation of the original sequence u(n) and are useful in filtering, the feature extraction of images, and so on.

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