I believe is better if we don't consider
Diff Radius value alone, but a as a combination of both
Diff. Radius and
Search. I mean, it is the number of photons found (Search) within a radius (Diff Radius).
If you decrease
Search, there are less photons to mix therefore the likeliness to average a different result than the neighbour patch increases, hence the more noise.

- Search 20
Diff Radius 1.0
Photon Count 200.000
- 20 search.png (131.99 KiB) Viewed 3918 times
If you increase
Search, there are more photons in the mix, therefore the likeliness to average a different result than the neighbour patch decreases, hence the less noise.

- Search 150
Diff Radius 1.0
Photon Count 200.000
- 150 search.png (104.83 KiB) Viewed 3918 times
Diff. Radius is the size of the photon map patch. If we decrease the size, we are increasing the signal frequency, there are more patches therefore is a more precise photonmap, but at the same time the noise produced by
Search is increasing its frequency.

- Search 20
Diff Radius 0.1
Photon Count 200.000
- 20 search Diff Radius 0.1.png (217.49 KiB) Viewed 3918 times
So better we use a good
Search value. However, as we decrease
Diff Radius, there are some patches that aren't getting enough photons for
Search to mix, hence that group of patches will have got less luminance. An insuficient
photon count will introduce low frequency noise again, even on a high resolution photon map.

- Search 150
Diff Radius 0.1
Photon Count 200.000
- 150 search Diff Radius 0.1.png (150.67 KiB) Viewed 3918 times
Photon count should be increased as Diff. Radius decreases:

- Search 150
Diff Radius 0.1
Photon Count 2.000.000
- 150 search Diff Radius 0.1 2Mphotons.png (170.62 KiB) Viewed 3918 times
Now that's a photon map ready for Final Gather to mix