journal article·2022-08-24Open access

Fast Calculation of Acoustic Field Distribution for Ultrasonic Transducers Using Look-Up Table Method

Ji Wu, Kefeng Tu, Li Liang, Shuaihua Wang, Zi Wang, Guoqiang Lv

Applied Sciences· Volume 12· Issue 17

Abstract

The point source superposition method based on the Rayleigh integral model is time-consuming for calculating the three-dimensional spatial sound field. In this paper, the look-up table method is introduced into the calculation of the acoustic field to reduce the computational effort. Based on the region of synchronous vibration on the transducer, a sub-regional look-up table method is proposed. Simulations demonstrate that both the acoustic field look-up table (ALUT) method and the acoustic field sub-regional look-up table (ASLUT) method have the same acoustic field calculation results as the point source method. Regarding the cost of time, the acoustic field look-up table method takes only one third of the time of the point source method, and the acoustic field sub-region look-up table method takes only one eighteenth of the time of the point source method, with the possibility of further reduction. Both the ALUT and ASLUT methods significantly reduce the calculation time for different types of transducers, which is beneficial for the study of planar sound source devices.
Source: crossref · Quality: baseline

Research context

OpenAlex topics: Acoustic Wave Phenomena Research · Ultrasonics and Acoustic Wave Propagation · Flow Measurement and Analysis

SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.

Affiliations

School of Instrumentation and Opto-Electronics Engineering, Hefei University of Technology, Hefei 230009, China

National Engineering Laboratory of Special Display Technology, National Key Laboratory of Advanced Display Technology, Academy of Photoelectric Technology, Hefei University of Technology, Hefei 230009, China

National Engineering Research Center for Optoelectronic Crystalline Materials, Fujian Institute of Research on the Structure of Matter, Chinese Academy of Sciences, Fuzhou 350003, China

Funding

National Engineering Research Center · National Key Research and Development Program of China

References (39)

Show source-provided references
1. Qiu, Z., Lu, Y., and Qiu, Z. (2022). Review of Ultrasonic Ranging Methods and Their Current Challenges. Micromachines, 13.10.3390/mi13040520 ↗
2. Lagler, D., Anzinger, S., Pfann, E., Fusco, A., Bretthauer, C., and Huemer, M. (2019, January 6–9). A single ultrasonic transducer fast and robust short-range distance measurement method. Proceedings of the 2019 IEEE International Ultrasonics Symposium (IUS), Glasgow, UK.10.1109/ULTSYM.2019.8925554 ↗
3. Kim, P., Kang, J., and Song, T.K. (2019). A Pseudo-Dynamic Delay Calculation Using Optimal Zone Segmentation for Ultra-Compact Ultrasound Imaging Systems. Electronics, 8.10.3390/electronics8020242 ↗
4. A numerical procedure for calculating the integrated acoustooptic effect10.1109/T-SU.1980.31173 ↗
5. Analysis of acoustic near field characteristics in acousto-optic modulator10.1109/LPT.2021.3051648 ↗
6. Infrared mapping of ultrasound fields generated by medical transducers: Feasibility of determining absolute intensity levels10.1121/1.4812878 ↗
7. Laude, V., Beugnot, J.C., and Sylvestre, T. (2019). Special issue on Brillouin scattering and optomechanics. Appl. Sci., 9.10.3390/app9183745 ↗
8. A time-domain model and experimental validation of the acoustic field radiated by air-coupled transducers10.1016/j.ultras.2017.07.020 ↗
9. Wu, J., Xu, Z., Ji, K., Lv, G., Wang, C., and Li, X. (2020, January 5). Transducer design of acousto-optic modulators. Proceedings of the AOPC 2020: Advanced Laser Technology and Application, Beijing, China.
10. Rayleigh, L. (1965). Theory of Sound, Dover.
11. Morse, P.M., and Ingard, U.K. (1968). Theoretical Acoustics, McGraw-Hill.
12. Boundary regularized integral equation formulation of the Helmholtz equation in acoustics10.1098/rsos.140520 ↗
13. Generalized Combined Field Integral Equations for the Iterative Solution of the Three-Dimensional Helmholtz Equation10.1051/m2an:2007009 ↗
14. Generation of the basis sets for multi-Gaussian ultrasonic beam models—An overview10.1121/1.2169921 ↗
15. Nonparaxial multi-Gaussian beam models and measurement models for phased array transducers10.1016/j.ultras.2008.07.015 ↗
16. Computational solution of the acoustic field surrounding a baffled panel by the Rayleigh integral method10.1016/0307-904X(94)90227-5 ↗
17. The use of equivalent source method in computational acoustics10.1142/S0218396X16300012 ↗
18. A method for computing acoustic fields based on the principle of wave superposition10.1121/1.398450 ↗
19. An Efficient Approach to the Simulation of Acoustic Radiation from Large Structures with FEM10.1142/S2591728519500191 ↗
20. Application of the FEM and the BEM to compute the field of a transducer mounted in a rigid baffle (3D case)10.1016/j.ultras.2003.12.032 ↗
21. Numerical evaluation of the Rayleigh integral for planar radiators using the FFT10.1121/1.388633 ↗
22. Forward and backward projection of acoustic fields using FFT methods10.1121/1.387606 ↗
23. Optical interferometric visualization and computerized reconstruction of ultrasonic fields10.1121/1.385003 ↗
24. Xu, Q., and Wang, H. (2022). Sound Field Modeling Method and Key Imaging Technology of an Ultrasonic Phased Array: A Review. Appl. Sci., 12.10.3390/app12167962 ↗
25. Zeng, X., and Mcgough, R.J. (2006, January 7–10). Evaluation of Angular Spectrum Approach for Simulations of Spherically Focused Ultrasound Phased Arrays. Proceedings of the IEEE International Conference on Electro/Information Technology, East Lansing, MI, USA.10.1109/EIT.2006.252164 ↗
26. Scaled angular spectrum method10.1364/OL.37.004128 ↗
27. Gpu accelerated acoustic field determination for a continuously excited circular ultrasonic transducer
28. Rapid calculation algorithm of Fresnel computer-generated-hologram using look-up table and wavefront-recording plane methods for three-dimensional display10.1364/OE.18.019504 ↗
29. Accurate compressed look up table method for CGH in 3D holographic display10.1364/OE.23.033194 ↗
30. Völz, U. (2012, January 7–10). Four-dimensional directivity pattern for fast calculation of the sound field of a phased array transducer. Proceedings of the 2012 IEEE International Ultrasonics Symposium, Dresden, Germany.10.1109/ULTSYM.2012.0259 ↗
31. Acoustic field of phased-array ultrasound transducer with the focus/foci shifting10.1007/s40846-019-00464-z ↗
32. Simulation of Acoustic Fields from Medical Ultrasound Transducers
33. Goutzoulis, A.P. (2021). Design and Fabrication of Acousto-Optic Devices, CRC Press.10.1201/9781003210221 ↗
34. Acoustic holography as a metrological tool for characterizing medical ultrasound sources and fields10.1121/1.4928396 ↗
35. Numerical examination of effects of discretization spacing on accuracy of sound field reproduction10.1250/ast.36.362 ↗
36. Merthe, D.J. (2013). A Sampling Theorem for Computational Diffraction. arXiv.
37. A high-performance passband-agile hyperspectral imager using a large aperture acousto-optic tuneable filter
38. Optimization and design of acousto-optic tunable filters
39. Voloshin, A., Balakshy, V., and Mantsevich, S. (2016, January 18–21). Unpolarized light diffraction in an acoustic field created by a phased array transducer. Proceedings of the 2016 IEEE International Ultrasonics Symposium (IUS), Tours, France.10.1109/ULTSYM.2016.7728646 ↗