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Nearfield of Time Harmonic Scalar‐Wave Beams

 

作者: H. N. Kritikos,  

 

期刊: The Journal of the Acoustical Society of America  (AIP Available online 1968)
卷期: Volume 44, issue 3  

页码: 735-739

 

ISSN:0001-4966

 

年代: 1968

 

DOI:10.1121/1.1911169

 

出版商: Acoustical Society of America

 

数据来源: AIP

 

摘要:

By superimposing radiation spherical wave modes of the scalar‐wave equation, a beam is formed. The farfield of the chosen beam is the truncated delta‐function spectrum expanded on the basis of Legendre functions. By introducing an error criterion, the passage from the farfield to the nearfield is investigated. It is found that the nearfield along the direction of the main beam begins approximately at a radial distancernf, given byrnf= 2G/k(G=GAIN,k= 2π/λ, λ is the wavelength) and for other directions, on the average, byr̄nf= 2√G/k. For both radial distancesrnf, andr̄nf, the corresponding errors are bounded between 8% and 15%.

 

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