Two carriers at f₁ and f₂ pass through a connector. If the joint is perfectly linear, they emerge unchanged. If it is not — oxide between mating surfaces, contamination, insufficient torque, dissimilar metals — the junction is weakly non-linear, and a non-linearity mixes.
The products land at 2f₁−f₂ and 2f₂−f₁ for third order, and 3f₁−2f₂ for fifth. Those frequencies sit close to the originals, which is exactly the problem. In many band pairings the third-order product falls squarely in the receive band, where it cannot be filtered out because it arrives with the wanted signal.
The effect scales brutally with power. A third-order product rises roughly three decibels for every decibel of carrier increase, so a junction that was acceptable at one power level can become the dominant noise source when the site is upgraded. Adding a carrier to an existing antenna is a common way to discover PIM that was always there.