In response to Greg's comments:
I thought the whole point of an intensity probe was that it only measures NET power flow. Your "bizzare loops" (near-field radiations) are an entirely rective phenomenon, for every Watt heading away from the structure in the nearfield zone, ther is 1 Watt heading the other way in the next half of the cycle. This enables the intensity probe to distinguish between the near-field and far-field.
Here is one of my infamous handwaving explanations of how nearield radiation occurs...
Think of the ideal case of a simply supported rectangular panel. When it is vibrating at a particular frequency, the mode shape of the panel comprises a sine wave with an integer number of half wavelengths in both the x and y directions. This forms a rectangular grid of peaks and troughs across its surface. As you say, the the positive pressure "source" at a peak is cancelled out by a the negative pressure "sink" at an adjacent trough. The pressure fluctuation passes from one to the other and never "escapes" to the far-field.
HOWEVER, in the next half of the cycle, each source becomes a sink and each sink becomes a source (peaks become troughs and troughs become peaks). The pressure fluctuation travelling beween a source and a sink is a wave like any other. It can only travel at the speed of sound. THEREFORE IT CAN ONLY BE CANCELLED OUT IF IT REACHES THE SINK BEFORE THAT SINK BECOMES A SOURCE AGAIN IN THE NEXT HALF OF THE CYCLE.
Slightly more technically, the cancellation can only occur if the wavelength of the bending wave in the panel is shorter than the wavelength of the acoustic wave at the same frequency.
Now if we plot a graph of the speed of waves vs frequency for both the acoustic wave and the bending wave, the line representing the acoustic wave is flat (a constant 343 m/s). However, the line representing the bending wave increases with increasing frequency (in fact it increases as the square root of frequency). So at some point on our graph, the lines must cross. The frequency where this occurs is the "coincidence" frequency also called the "critical" frequency. Below this frequency there is cancellation and hence reduced radiation as energy is tied up in the near-field. Above the coincidence frequency there is no cancellation and hence strong radiation.
Note that there is still some radiation below the critical frequency. The corners (and in some instances the edges) of the panel have no neighbours with which to cancel. In this case we have 4 small radiating areas which do allow some energy to escape to the far-field, but the radiating area is much smaller than that of the whole panel and hence the amount of radiation is reduced.
Make mine an extra cold one.
M