Difference between monotone and monochromatic wave
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Monotone - "Sameness or dull repetition in sound, style, manner, or color"
Monochrome - "A photograph or picture developed or executed in black and white or in varying tones of only one color"
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Monochromatic" is used to denote waves of a single frequency (or superpositions of a very narrow wave of frequencies, at most). Polarization is independent of this, so your light is indeed monochromatic.
The monotonicity refers to the shape of the wave profile. Most travelling waves you encounter in applications are fronts, which look (for example) like the graph of tanh(ξ). As the function describing the profile is (strictly) monotonic, the resulting travelling wave is called a monotone wave
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