why do these iSEMcon microphones go through a distortion minimum at 120 dB SPL?

All three mics tested in these two reviews show 2nd harmonic that falls with SPL down to 100 dB where the noise specified at about 31 dB takes over. This makes perfect sense qualitatively, even if I'm still struggling to understand it quantitatively. How can it match the noise spec almost perfectly when the analyzer will only allow a tiny slice of the spectrum at 2 kHz +/- a few Hz?

However, the 3rd harmonic goes through a minimum of about -90 dB at 120 dB and then goes up again as SPL falls further, rising about 10 dB for every 10 dB drop in SPL. This does not look noise-related, as the rise begins at much higher SPL than for the 2nd harmonic.

https://www.isemcon.com/datasheets/iSEMcon EMX-7150.pdf
https://www.isemcon.com/datasheets/iSEMcon EMM-13D082.pdf

What is going on here? What nonlinearity mechanism is there (other than noise) that actually increases as the signal goes down? Mechanical hysteresis in the membrane? Sinister storage effects in the electret? Or is there a more mundane explanation?
 

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This is from the EMX-7150 data sheet. Note that this is just THD, so no information about HD2 and 3.

Seems to approach 0.1% = -60 dB THD at 110 dB but shows no tendency to rise towards smaller SPL and is actually a tad worse than the -65 dB THD given in the previous graph. Strangely, the B&K reference mic shows a shallow minimum from 120 to 130 dB with a small rise towards lower SPL, ending up at the same -60 dB at 110 dB.
 

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Effective noise level may be slightly different for H2 and H3 in the measurement setup used for whatever reason, but I have little doubt that the initial decrease is entirely down to things being noise-limited. If you were to plot the absolute SPL of distortion products instead, things would start out flat until they begin to emerge from the noise floor.

The mic seems to exhibit textbook small signal behavior (described by IP2/IP3) until it begins to diverge around 146-147 dB SPL. Nominal max SPL spec would be 136 dB (1%) / 130 dB (0.5% THD). The relatively high level of H2 suggests that the electronics are the limiting factor.
 
I struggle to understand how noise at 3 kHz can be a whopping 20 dB different than at 2 kHz (assuming that a pretty narrow filter is used around 2 resp. 3 kHz to determine the harmonics). Maybe something strange going on in the analyzer?

The two measurements are in good agreement at 140 and 145 dB, wherease at 150 dB, ProductionPartner magazine reports -25 dB = 5.5% and continuing slope out to 160 dB wheras the data sheet just goes off the chart at 146 dB. Did they get improved electronics?

BTW, what does IP2/IP3 stand for?

Similar thing going on with the review of the M50:
Fresh From the Bench: Earthworks M50 Omnidirectional Measurement Microphone | audioXpress

Appears to saturate at 0.17% = - 55 dB at 100 dB, with a hint of a further rise towards lower SPL. Again, the graph reads THD rather than THD+N, so noise should be largely excluded. Noise is 22 dB(A) which should be about 30 dB which seem to be too little to explain a 45 dB gap at 100 dB even if the analyzer was wide open. I don't think the distortion of the source was subtracted in this case.
 
What transducer has low enough distortion to show the Mike distortion? I would want a lot more on those measurements to accept them. It's a difficult problem to check for acoustic distortion and even air nonlinearity will limit you.
 
Regarding my own measurements with small capsules and MEMS-microphone the increase of the noise in the low frequency region is caused by the lower sensitvity in this region. The increase in the higher freqs is the known issue of these delta-sigmas used inside them.