Acoustical shadow of a sphere immersed in water. II

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Authors

  • Leszek FILIPCZYŃSKI Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland
  • Tamara KUJAWSKA Institute of Fundamental Technological Research, Polish Academy of Sciences, Poland

Abstract

Assuming a continuous plane wave incident on a rigid sphere immersed in water the authors computed directivity characteristics of the acoustic pressure behind the sphere. The obtained results were converted and presented in the rectangular coordinate system in the form of acoustic isobars for ka values in the range between 4π and 200π. Assuming the –6dB isobar to be the shadow boundary, the authors found an almost linear proportionality between the relative shadow range and the ka parameter. The proportionality coefficient was determined and hence a basic formula was given which connects the shadow range, the sphere radius with the wavelength. It can be useful in many ultrasonic problems.

References

[1] L. FILIPCZYŃSKI, T. KUJAWSKA, Acoustical shadow of a sphere immersed in water, Proc. of the V Symposium on Hydroacoustics, Gdynia 1988, 71-78 (in Polish).

[2] L. FILIPCZYŃSKI, T. KUJAWSKA, Isobar distributions and the shadow range of spheres immersed in water, Proc. of the VI Symposium on Hydroacoustics, Gdynia, AMW 1989, 115-120.

[3] L. FILIPCZYŃSKI, T. KUJAWSKA, Acoustical shadow of a sphere immersed in water. I, Archives of Acoustics, 14, 1-2 (1989) 29 43.

[4] L. FILIPCZYŃSKI, G. LYPACEWICZ, Estimation of calcification detectability in breast tissues by means of the ultrasonic echo and shadow methods, Archives of Acoustics, 9, 1-2 (1984).

[5] H. HÄNSEL, Podstawy rachunku błędów, WNT Warszawa 1968 p. 93.

[6] J. TOPPING, Errors of observation and their treatment, The Institute of Physics London 1956, p. 101, 105.

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