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I did not think of this but yes of course you could do this sort of analysis.

I should have clicked as this is just like what we do for wave analysis in audio (fourier analysis), pure sound waves do not exist in nature but are instead made up of a harmonic sequence and that sequence of harmonics can tell you a huge amount about the source of the sound and the environment it is in.


Wave example pictured below made up of the harmonic series (simple multiplications of the Fundamental).



 


This gif explains the above quite well



As I said in nature we will not see a pure wave series but instead what one will see is a dominant series of harmonics, more resonance at certain frequencies if you will and of course this is no different with light.

I have no idea why I just posted all this as I suspect all of us here did high school math :p


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