| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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A Novel Algorithm for the Sound Field of Rectangular-Shaped Transducers |
| DING De-Sheng1**, SHEN Chang-Sheng1, LU Hua2 |
1School of Electronic Science and Engineering, Southeast University, Nanjing 210096
2State Key Laboratory of Bioelectronics, School of Biological Science and Medical Engineering, Southeast University, Nanjing 210096
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| Cite this article: |
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DING De-Sheng, SHEN Chang-Sheng, LU Hua 2015 Chin. Phys. Lett. 32 124304 |
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Abstract An alternative extension to the Gaussian-beam expansion technique is provided to simplify the computation of the Fresnel field integral for rectangular symmetric sources. From a known result that the circle or rectangle function is approximately decomposed into a sum of Gaussian functions, the cosine function is similarly expanded by the Bessel–Fourier transform. Two expansions are together inserted in this field integral, it is then expressible in terms of the simple algebraic functions. As examples, the numerical results for the sound pressure field are presented for the uniform rectangular piston transducer, in a good agreement with those directly evaluated from the Fresnel integral. A wide applicability of this approach is discussed in treatment of the ultrasonic field radiation problem for a large and important group of piston sources in acoustics.
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Received: 08 October 2015
Published: 05 January 2016
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| PACS: |
43.20.Rz
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(Steady-state radiation from sources, impedance, radiation patterns, boundary element methods)
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43.20.Bi
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(Mathematical theory of wave propagation)
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43.20.El
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(Reflection, refraction, diffraction of acoustic waves)
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