Waving? Visualize sawdust floating on a lake with waves moving across the surface, that's a rough analogy. In a sense the sawdust particles and waves are ONE. Now with ElectroMagnetic waves, from radio(long)to gamma(short)wavelengths it's like the(localized)particles are rotating in a circle as they move in a linear direction. Now change the floating sawdust to corks tied together on a string vertically at one foot spacings going down in the water(with some anchor weight at the bottom of the string). As you see, the top cork goes through the largest circular motion as the crest/trough passes by. The next one down(1 ft lower)a slightly smaller radius, the third cork(2 ft down)still a smaller radius, and so on down to where there is virtually no detectable circular motion at all. Now, this is just the opposite to EM wavelengths : shorter=higher energy. Getting tossed around in a boat on the LONG wavelengths of surface water waves in a storm is definitely more energy than being way under the waves in a submarine, yes? This then is the difference between EM waves, which govern bosons(photons of light)and DeBroglie's matter waves which govern fermions(electrons/protons/neutrons/etc):shorter waveLENGTH=higher bose energy and lower fermi energy. Ok then, get laid back and think about WAVES, WAVES, WAVES over the christmas to New Years holidays, then we can discuss PARTICLES.
Sawdust and water? I thought light would be made out of less dense materials.