| FUNDAMENTAL AREAS OF PHENOMENOLOGY(INCLUDING APPLICATIONS) |
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A Simple and Accurate Method for Calculating the Gaussian Beam Expansion Coefficients |
| LIU Wei, YANG Jun |
The State Key Laboratory of Acoustics and the Key Laboratory of Noise and Vibration Research, Institute of Acoustics, Chinese Academy of Sciences, Beijing 100190
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| Cite this article: |
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LIU Wei, YANG Jun 2010 Chin. Phys. Lett. 27 124301 |
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Abstract The calculation of the diffraction field radiated from the ultrasonic transducer can be simplified by using the Gaussian beam expansion technique. The key problem of this technique is how to determine the coefficients of Gaussian functions. We present a simple and accurate optimization method to calculate the Gaussian beam expansion coefficients. Half of the coefficients are obtained by solving linear equations. The other half are derived from the Fourier series expansion. Wave field simulation results demonstrate the validity of the new method.
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| Keywords:
43.20.Rz
43.20.Bi
43.20.El
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Received: 02 June 2010
Published: 23 November 2010
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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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