An Introduction to Acoustical Holography by B. P. Hildebrand

By B. P. Hildebrand

Since the 1st papers through E. N. Leith and J. Upatnieks near to holography seemed in 1961, there was a digital explosion of analysis job within the box. greater than 500 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 area of usefulness. one of many functions that looks to carry nice promise is acoustic imaging by way of holography. the 1st papers in this topic seemed in 1966, yet already learn job within the box is burgeoning. 3 symposia thoroughly dedicated to acoustical holography were held and the papers released in e-book shape. The purposeof this ebook is to compile the result of examine in acoustical holography, a few of it as but unpublished, below one hide in order that employees in holography, nondestructive trying out, clinical imaging, underwater imaging, and seismic exploration can make a decision no matter if this new strategy may be necessary to them.

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Varner and J. S. Zelenka, A new method of generating depth contours holographically, Appl. Opts. 7:2107 (1968). 12. M. Born and E. , New York, p. 491 (1964). 13. M. Born and E. , New York, p. 504 (1964). 14. E. N. Leith, J. Upatnieks, and K. A. Haines, Microscopy by wavefront reconstruction, J. Opt. Soc. Am. 55(8):981 (1965). 15. E. B. Champagne, Nonparaxial imaging, magnification, and aberration properties in holography, J. Opt. Soc. Am. 57(1):51 (1967). 16. R. W. Meier, Magnification and third-order aberrations in holography, J.

Pot P, and a rigidly fixed base F. Und er static conditions the downward pull of gravity is opposed by the upward pull of the spring. However, if the block B is displaced downward a distance y( <0) and suddenly released, the upward force of the spring exceeds the pull of gravity so that the block accelerates towards T. 8 rn/sec 2 ), K is the spring constant (newton/rn), and R is the darnping constant (newton-sec/rn). A particular solution for Eq. 4) When Eqs. 4) are substituted into Eq. 5) = If Eq.

F3:;:::::-.. OB JECT 2 REFERENCE WAVf. \~ 1111 WAVf. RECORDING PlANE CONJUGATE IMAGE WAVf. TRUE IMAGE (V I RTUALI sin -1 (2 sin 1112 - sin 11111 . / RECONSTRUCTION WAVf. V. z )J1i;:::::,.... 1111 y' Y TRUE IMAGE WAVf. HOLOGRAM WAVE Fig. 7. The physical relationship between object, reference, reconstruction and image waves for Leith-Upatnieks holography is shown here. In this case we are illuminating the hologram so as to obtain the true image. Note the complete physical separation of the various waves.

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