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Analysis of the focal shift of converging spherical waves using the convolution method

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Abstract

The axial focusing properties of converging spherical waves are calculated for both Rayleigh and Rayleigh–Sommerfeld formulations of the diffraction integral, using impulse-response expressions previously developed for acoustic radiators and the well-known convolution method. The results are compared with those produced by a theoretical boundary-diffraction-wave analysis and with experimental microwave measurements.

© 1985 Optical Society of America

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