What is unpolarized monochromatic light?

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Unpolarized monochromatic light refers to light that has no fixed polarization state, resulting from the superposition of electromagnetic waves from uncorrelated sources. It is characterized by random polarization, meaning that when passed through a polarizer, half of the light will transmit regardless of the polarizer's type. A truly monochromatic beam cannot be perfectly unpolarized, as it would require a spread in frequency or direction. When light is emitted from an atom, it typically has a range of frequencies and directions, leading to an approximately monochromatic beam with random phase angles. Thus, unpolarized light is essentially a combination of multiple monochromatic waves with varying polarizations.
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I've gotten the impression that the most general case for monochromatic light is elliptically polarized light. But what do one mean when one states that some kind of light is unpolarized monochromatic light? Does one mean that it is elliptically polarized?
Or is circularly polarized light the more reasonable canidate?
 
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It's the superposition of electromagnetic waves from uncorrelated (at least with respect to polarization) sources.
 
What do you mean by sources being uncorrelated with respect to polarization and what would be the consequence?
 
Unpolarized light means randomly polarized.

If you send unpolarized light through any polarizer (linear, circular, elliptical, etc) then half will go through. This would not be the case for any particular fixed polarization.
 
You can think of it as one monochromatic wave with a horizontal polarization and traveling in the z direction added non-coherently to another monochromatic wave with a vertical polarization traveling in the z direction. Non-coherently in this case means that there is a random phase difference between the waves.
 
A monochromatic beam is a plane wave and a plane wave has definite polarization. Add two monochromatic beams together, you get another monochromatic beam, so you cannot have a perfectly monochromatic beam that is unpolarized. There has to be some (small) spread in frequency or direction, or both. When an atom emits light, it does not emit a monochromatic beam. There is a spread in frequency and direction. When you add these waves up, their phases are random and you get an approximately monochromatic beam with random phase angles, which is called unpolarized.
 
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