An Introduction to Acoustical Holography by B. P. Hildebrand

By B. P. Hildebrand

Since the 1st papers by means of E. N. Leith and J. Upatnieks just about holography seemed in 1961, there was a digital explosion of analysis task within the box. greater than SOO papers and articles on holo­ graphy have seemed within the final ten years. Many purposes of holo­ graphy were proposed, and a few of those are starting to input the world of usefulness. one of many functions that looks to carry nice promise is acoustic imaging via holography. the 1st papers in this topic seemed in 1966. yet already examine job within the box is burgeoning. Tbree symposia whoUy dedicated to acoustical holography were held and tbe papers released in booklet shape. the aim of this e-book is to assemble the result of examine in acoustical holography, a few of it as but unpublished, lower than one disguise in order that staff in holography, nondestructive trying out, clinical imaging, underwater imaging, and seismic exploration can make a decision no matter if this new strategy may be beneficial to them.

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Extra info for An Introduction to Acoustical Holography

Sample text

A b Fig. 6. In this figure all parameters are the same as in Fig. 5. Now, however, a coherent electronic reference is used. Note that the image (b) is now as good as that obtained in Fig. 5 even though no background wave is present. 22 Chapter 2 It is interesting to note that for long wavelength radiation aGabor hologram can be generated with a constant amplitude plane wave component without the aforementioned restriction, as shown by Eq. 15). A hologram of this type, and its reconstruction is shown in Fig.

CD ~ GI ... (") :r o N 21 Holography a b Fig. 5. This hologram (a) was made as shown in Fig. 3 with the exception of the object, which now consists of a sheet of styrofoam with the letter F cut out of it. The size of the letter and all other parameters are the same. Note that no image (b) is visible since practically no background penetrates the object. quite good since the true image will be so badly out of focus that it merely contributes to the background. This is the reason that this type of holography has found use in particle sizing and distribution studies [4].

17. This figure ilIustrates the way in which two point objects may differ in phase even though they are at equal distance from the origin. many phases due to rays arriving at the point via many paths. The average phase is then of consequence and can gene rally be considered zero. Thus, it seems that the Rayleigh criterion is useful after all. Another useful measure one might like to have is aresolution along the radius to the object; that is, a depth resolution. This may be obtained by substituting the angular object position Eq.

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