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
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
摘要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.
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.
(Reflection, refraction, diffraction of acoustic waves)
引用本文:
LIU Wei;YANG Jun. A Simple and Accurate Method for Calculating the Gaussian Beam Expansion Coefficients[J]. 中国物理快报, 2010, 27(12): 124301-124301.
LIU Wei, YANG Jun. A Simple and Accurate Method for Calculating the Gaussian Beam Expansion Coefficients. Chin. Phys. Lett., 2010, 27(12): 124301-124301.
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2010, Vol. 27 
