Page 110 - The Master Handbook Of Acoustics
P. 110

85
                                                                         SOUND WAVES IN THE FREE FIELD























                                                          d

                                                             2d



                                                                3d



                                                                 4d





                                                                             FIGURE 4-1
                      In the solid angle shown, the same sound energy is distributed over spherical surfaces
                      of increasing area as d is increased. The intensity of sound is inversely proportional to
                      the square of the distance from the point source.




                                                          d 2
                                         L 2   L 1   20 log     , decibels          (4-1)
                                                          d 1
                      In other words, the difference in sound-pressure level between two
                      points that are d 1 and d 2 distance from the source is:

                                                          d 2
                                         L 2   L 1   20 log    , decibels           (4-2)
                                                          d 1
                         For example, if a sound-pressure level of 80 dB is measured at 10 ft,
                      what is the level at 15 ft?
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