Page 209 - The Master Handbook Of Acoustics
P. 209

184   CHAPTER NINE



                                      The sound pressure is maximal at the surface of the sample. As
                                   the microphone probe tube is moved away from the sample, the
                                   sound pressure falls to the first minimum. Successive, alternating
                                   maxima and minima will be detected as the probe tube is further
                                   withdrawn. If n is the ratio of the maximum sound pressure to its
                                   adjacent minimum, the normal absorption coefficient a is equal to:
                                                                                          n
                                                                       4
                                                             a                                    (9-2)
                                                                       1
                                                              n
                                                                  n        2
                                                                       n
                                   which is plotted in Fig. 9-3. 2



                                         1.0





                                         0.8



                                        Absorption coefficient - a n  0.6






                                         0.4





                                         0.2





                                           0
                                             1       2    3  5         10      20   30     50     100
                                                                Standing-wave ratio - n
                                      FIGURE 9-3
                                    A graph for interpreting the standing-wave ratio in terms of absorption coefficient. The
                                    standing-wave ratio can be found by dividing any pressure maximum by its adjacent
                                    pressure minimum (see Fig. 9-2).
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