Acoustics: Sound Fields, Transducers and Vibration, 2nd Edition

References

[1] Morse P.M, Ingard K.U.  Theoretical acoustics . New York: McGraw-Hill; 1968:319–321 It should be noted that their derivation uses a bounded Green’s function which accounts for the reflections from the boundary which have nothing to do with the boundary integral.

[2] Rayleigh J.W.S.  The theory of sound . vol. II. New York: Dover; 1945:107–109 Interestingly, Rayleigh derives Eqs. (13.27) and (13.28) by shrinking the volume integral of Eq. (13.25) down to a plane and then applying the appropriate boundary conditions in the plane.

[3] Arfken G.B, Weber H.J.  Mathematical methods for physicists . 6th ed. Florida: Academic Press; 2005:60 Eq. (1.101a), p. 61, Eq. (1.104).

[4] Morse P.M, Ingard K.U.  Theoretical acoustics . New York: McGraw-Hill; 1968:364–365. ...