Agapit68
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Thank you for the detailed answer! The statement that it "does nothing" or is a "psychological effect", "placebo", etc. certainly takes place, but remains an assumption, especially in my case - I do not like this amplifier and I am not inclined to endow it with magical properties). For me, it is obvious that the sound has changed for the better, as it seems to me at first glance, but of course, these may simply be distortions that are pleasant to my ears and without measurements there are no other ways to find out. On the other hand, I am ready to put up with additional distortions (within reasonable limits) for the sake of, for example, improving the rise time/slew rate.In class A, AB, G and H there is no fast switching involved and usually one can get by with smoothing caps and the occasional decoupling near the power and/or voltage amplification stage to prevent instability.
For switching amps just having large electrolytics isn't enough because these may (PCB) design wise too far away from the power-switching devices. Even 10cm distance can be problematic due to the inductance of the traces/wires. Certainly if the device also has to comply to EMC/FCC rules.
A small capacitor parallel on those reservoir caps won't do anything up to say a MHz or so but can help in the 10Mz-10GHz range at the point where the switching power devices are located.
Small capacitors need to be charged/discharged quickly and with sharp rising/falling edges requiring high (narrow=HF) frequencies far, far above the switching frequency.
This requires local decoupling and (for RF) further removed caps like reservoir caps the inductance simply is too high so decoupling away from the switching components that draw the current peaks decoupling there will do nothing beneficial for the amp itself.
For that reason the decoupling needs to be done near the switching devices directly to a groundplane with as short as possible wires.
Compound is often needed using 10uF and 100nF or so (or something smaller) and need to be small in size. Larger sized caps (think WIMA) have too high ESR at GHz range.
Where you do see those used is at the output filter because of the large voltage swing across it where CML are poor performers.
At a constant voltage (power rail decoupling) the CML ones perform better than WIMA.
It is the 'audiophool myth' world that made the WIMA big in analog amps because they supposedly 'sound' better than other PP caps.
So while you may hear improvements and magic decoupling reservoir caps it won't do much (if anything) for the decoupling of the output devices as that has to be (and probably even is for cheaper designs) done locally near the output devices.
You need to measure in the GHz range to show these effects and is mostly about emission of RF that has to meet requirements and the output stage being fed from a low impedance voltage rail exactly at the pins of the powerIC/switching devices. Not at the reservoir caps.