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THE FURTHER STUDY OF THE SPHEROIDAL BEAM EQUATION FOR FOCUSED FINITE-AMPLITUDE SOUND BEAMS

RONGMIN XIA

Department of Biomedical Engineering, Shanghai Jiaotong University, China, 200030, China

Corresponding author.

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WENDE SHOU

Department of Biomedical Engineering, Shanghai Jiaotong University, China, 200030, China

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GUOPING CHENG

Department of Biomedical Engineering, Shanghai Jiaotong University, China, 200030, China

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, and

MEIDUN ZHANG

Institute of Fiber Optic Technologies, Shanghai Jiaotong University, China, 200030, China

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https://doi.org/10.1142/S0218396X03001675Cited by:5 (Source: Crossref)

Abstract

The spheroidal beam equation (SBE)¹ is a parabolic equation, which fits for focused, high-frequency beams from a large circular aperture. Partition of the acoustic field is one of the very important aspects of the SBE. But the criterion of division has not been given. In this paper, the criterion and corresponding numerical simulation are introduced. At the same time, the comparison of the SBE solution with Lucas's parabolic equation is fulfilled.

Keywords:

References

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