I am starting to learn elementary electrodynamics with Griffiths.
In the book, he has shown the natural correspondence between light and electromagnetic plane waves.
The problem that has agitated me is that plane waves are "global solutions", i.e. they have non-trivial EM field almost everywhere; while light seems to be localized phenomenon, when considered as stuff generated in region A and traveled to region B.
How is this paradox resolved classically(without QM)?
From Fourier Theory, it seems viable to create localized solutions by adding plane waves of different frequencies. However, this does not solve the paradox when monochromatic light is considered.