Main Question or Discussion Point
What is the difference between coherent light and polarized light?
Pretty much, although I'm not sure you can get exactly the same wavelength. I think there will always be some spread, even in lasers, so you'll get decoherence after some length: this length is not infinity. According to Wikipedia:If I understand this correctly coherent light means that the waves are syncronized(in phase) and they have exactly the same wave length.
This is mostly correct, but you can have circular or elliptical polarizations: the tip of the electric field need not be confined to a line.Polarized light means the waves have only one direction - the direction of the polarization.
This is not true. They can be of different length and need not be in phase.In polarized light the waves do not have the same length and the waves are not in phase.
This is not true either. Coherent light can be unpolarized, and polarized light can be coherent.Coherent light is polarized, but polarized light is not coherent.