| MadSci Network: Physics |
Your comment about whether the reflection is unique to electromagnetic radiation or does it apply to other waves is a good one: "Waves are waves" and the phenomena of reflection and refraction and scattering are common to all waves whether they are EM or sound. Now, as to why the reflection depends on wavelength. The relevant size is the width of the object as seen by the wave, and where the "edges" are. If the edges are "far away" (i.e., more than 5-10 wavelengths) then for all practical purposes they will have no effect on what happens at the point where the wave hits the surface, and therefore we make the approximation that the surface is infinite in extent and model the interaction as a "reflection", and is independent of frequency. This is like light reflecting off the surface of a lake. If the edges are very close together (i.e., the object is much smaller than a wavelength) then we use a model of "scattering", in which we calculate the strength of the wave scattered in all directions based on matching boundary conditions at the surface of the object. This turns out to be frequency dependent, usually with high frequencies being more efficiently scattered than are low frequencies, leading to the "Blue Sky Law" of optics. This regime is like light scattering from gas molecules, each one of which is smaller than a wavelength of light. The in between range, from 10 wavelengths down to .1 wavelength, is the interesting regime, in which we have to make all sorts of complicated calculations to model the behavior of waves. This can lead to constructive and destructive inteference, standing waves, diffraction of waves around the object, and other interesting phenomena. There is no size of object that will have no effect on the wave. Waves do not pass through a small object, but rather the magnitude of the effect and the way it is calculated is different.
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