Angular spectrum is one of the most powerful tools for field calculation. It is based on linear system theory and the Fourier transform and is used for the calculation of propagating sound fields at different distances. In this report, the generalization and interpretation of the angular spectrum and its intrinsic relationship with limited diffraction beams are studied. With an angular spectrum, the field at the surface of a transducer is decomposed into limited diffractions beams. For an array transducer, a linear relationship between the quantized fields at the surface of elements of the array and the propagating field at any point in space can be established. For an annular array, the field is decomposed into limited diffraction Bessel beams [P. D. Fox and S. Holm, IEEE Trans. Ultrason. Ferroelectr. Freq. Control 49, 85–93 (2002)], while for a two‐dimensional (2‐D) array the field is decomposed into limited diffraction array beams [J‐y. Lu and J. Cheng, J. Acoust. Soc. Am. 109, 2397–2398 (2001)]. The angular spectrum reveals the intrinsic link between these decompositions. [Work supported in part by Grant 5RO1 HL60301 from NIH.]
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May 2002
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May 01 2002
A study of angular spectrum and limited diffraction beams for calculation of field of array transducers
Jiqi Cheng;
Jiqi Cheng
Ultrasound Lab., Dept. of Bioengineering, The Univ. of Toledo, Toledo, OH 43606
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Jian‐yu Lu
Jian‐yu Lu
Ultrasound Lab., Dept. of Bioengineering, The Univ. of Toledo, Toledo, OH 43606
Search for other works by this author on:
Jiqi Cheng
Jian‐yu Lu
Ultrasound Lab., Dept. of Bioengineering, The Univ. of Toledo, Toledo, OH 43606
J. Acoust. Soc. Am. 111, 2483 (2002)
Citation
Jiqi Cheng, Jian‐yu Lu; A study of angular spectrum and limited diffraction beams for calculation of field of array transducers. J. Acoust. Soc. Am. 1 May 2002; 111 (5_Supplement): 2483. https://doi.org/10.1121/1.4778641
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