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A good non-linear example is intensity in interference and diffraction
phenomena.
Intensity at the central peak for two point sources:
1+1 = 4
and of course the points of destructive interference provide the
opposite
case!
I'm glad this came up, I follow an optics before E&M ordering, and we
just
started electric fields, it will be good to remind them of intensity
being a
"familiar" non-superposition situation.
Joel R.