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IEVref:801-32-64ID:
Language:enStatus: Standard
Term: transfer function, <in underwater sound propagation>
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Definition: solution to the inhomogeneous Helmholtz equation

Note 1 to entry: For a point source at x0MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbuLwBLn hiov2DGi1BTfMBaeXatLxBI9gBaerbd9wDYLwzYbItLDharqqtubsr 4rNCHbGeaGqipu0Je9sqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9 vqaqpepm0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=x fr=xb9adbaqaaeGacaGaaiaabmqaamaabaabaaGcbaGaamiEamaaBa aaleaacaaIWaaabeaaaaa@37BA@, the inhomogeneous Helmholtz equation isρ[ρ1(f;x)]+k2H(f;x)=4πδ(xx0)MathType@MTEF@5@5@+= feaagKart1ev2aaatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaciGabaqaamaaceGaaiGacaabaaGcbaqcaaeeaaaaaaaaa8qaca qIbpGaey4bIeTaeyyXICTcdaWadaqcaa0daeaapeGaaKyWdOWdamaa Caaajeaqbeqaa8qacqGHsislcaqGXaaaaKaaajabgEGirRWaaeWaaK aaa9aabaWdbiaadAgacaGG7aaccmGaa8hEaaGaayjkaiaawMcaaaGa ay5waiaaw2faaiabgUcaRiaadUgak8aadaahaaqcbauabeaapeGaae OmaaaajaaqcaWGibGcdaqadaqcaa0daeaapeGaamOzaiaacUdacaWF 4baacaGLOaGaayzkaaGaeyypa0JaeyOeI0Iaaeinaiaabc8acaqG0o Gcdaqadaqcaa0daeaapeGaa8hEaiabgkHiTiaa=Hhak8aadaWgaaqc bauaa8qacaqGWaaapaqabaaajaaqpeGaayjkaiaawMcaaaaa@5975@, where ρ is the medium's time-averaged mass density, k is the acoustic wavenumber and H(f;x)MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaciGabaqaamaaceGaaiGacaabaaGcbaqcaaeeaaaaaaaaa8qaca WGibGcdaqadaqcaa0daeaapeGaamOzaiaacUdaiiWacaWF4baacaGL OaGaayzkaaaaaa@38E9@ is the transfer function, x is the position and f is the acoustic frequency.

Note 2 to entry: For a point source in infinite free space, the transfer function is R1exp(ikR)MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaciGabaqaamaaceGaaiGacaabaaGcbaqcaaeeaaaaaaaaa8qaca WGsbGcpaWaaWbaaKqaafqabaWdbiabgkHiTiaabgdaaaqcaaKaaeyz aiaabIhacaqGWbGcdaqadaqcaa0daeaapeGaaeyAaiaaykW7caWGRb GaaGjcVlaadkfaaiaawIcacaGLPaaaaaa@4167@, where R=|xx0|MathType@MTEF@5@5@+= feaagKart1ev2aqatCvAUfeBSjuyZL2yd9gzLbvyNv2CaerbbjxAHX garuavP1wzZbItLDhis9wBH5garmWu51MyVXgarqqtubsr4rNCHbGe aGqipG0dh9qqqrpepC0xbbL8F4rqqrFfpeea0xe9Lq=Jc9vqaqpepm 0xbba9pwe9Q8fs0=yqaqpepae9pg0FirpepeKkFr0xfr=xfr=xb9ad baGaciGabaqaamaaceGaaiGacaabaaGcbaqcaaeeaaaaaaaaa8qaca WGsbGaeyypa0Jcdaabdaqcaa0daeaaiiWapeGaa8hEaiabgkHiTiaa =Hhak8aadaWgaaqcbauaa8qacaqGWaaapaqabaaajaaqpeGaay5bSl aawIa7aaaa@3D7D@.

Note 3 to entry: Jensen, F. B., Kuperman, W. A., Porter, M. B. and Schmidt, H. Computational Ocean Acoustics, AIP press Springer-Verlag, ISBN: 978- 1-4419-8677-1, 2011. DOI 10.1007/978-1-4419-8678-8. Page 84-85. of Jensen et al. (2011) refers to propagation loss as "transmission loss". Jensen et al. (2011) refers to the transfer function as the "transmission loss pressure".


Publication date:2021-02
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