One important characteristic/definition of far field is that the acoustic particle velocity and acoustic pressure are in phase. It is not so in the nearfield. The graph shows, at the indicated frequency, the calculations to find out where far field begins for the loudspeaker. The vertical scale is sound power. Sound power is the total acoustic power radiated by the loudspeaker in all directions. In the farfield, sound power does not change with distance. That why you see the curves flatten toward the right. The individual curve shows the contribution to the total sound power by the particular expansion order (n).
Below is from:
https://www.klippel.de/fileadmin/klippel/Files/Know_How/Literature/Papers/Holographic Nearfield Measurement of Loudspeaker Directivity.pdf
The text gives the mathematical definitions of sound power (the real part of the complex product of pressure and velocity, integrated over a surrounding surface S) and apparent sound power (the product of the magnitudes of pressure and velocity, also integrated over surface S). Please note that both pressure (a scalar) and velocity (a vector) are complex quantities expressed in complex numbers with real and imaginary parts. The integral is performed with the velocity component normal (perpendicular) to the local surface dS (i.e. the inner product of the velocity vector and the unit surface normal vector of dS).
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