Abstract
A method for the three dimensional imaging of objects by wave-vector diversity (frequency and viewing and/or illumination angle diversity) is analyzed using a Fourier Optics approach. The analysis is applicable to two classes of objects of practical interest namely weakly scattering objects and perfectly reflecting objects. It is shown that under frequency swept plane wave illumination the data collected by an array of receivers deployed in the far field of the object represents a 3-D data manifold that is within a quadratic phase factor equal to the 3-D Fourier transform of the object function. Methods for removal of the quadratic phase factor which otherwise can lead to image distortion are discussed. By invoking Fourier domain projection theorems we show that the distortion corrected 3-D data manifold can yield a reconstruction of the object slice by slice or all at once using integral holography. Similarities between wave-vector diversity imaging and possible “imaging” features in certain cetacean and in the bat are pointed out.
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© 1980 Plenum Press, New York
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Farhat, N.H., Chan, C.K. (1980). Three Dimensional Imaging by Wave-Vector Diversity. In: Metherell, A.F. (eds) Acoustical Imaging. Acoustical Imaging, vol 8. Springer, Boston, MA. https://doi.org/10.1007/978-1-4613-2943-5_30
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DOI: https://doi.org/10.1007/978-1-4613-2943-5_30
Publisher Name: Springer, Boston, MA
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