We have the situation of shining a 1W laser through a certain liquid. Liquids can have many interesting properties, but in case of the laser we are looking at the absorbtion and what happens afterwards.
This absorbtion is dependent on the wavelength, if you look through a red wine you will see red light, but green and shorter wavelength like cyan and blue will be strongly attenuated. A single wine drop doesn't absorb all green or blue light, some still leaks through. But in a glass of wine there is a much longer distance the light travels through the wine, and each length it travels it loses a certain percent of it's power. Or you could say that each time it travels through a certain amount of wine half the power is lost.
Where does this light go? It can be converted to heat, warming up your wine. Another option is emission of radiation. If the same light sort of bounces off the fluid to all directions without leaving any energy behind, this si called elastic scattering. This is for example why milk is white (not exactly but good enough).
If you have some fluorescent dyes, they seem to light up. So if you have such a property in your fluid, the incoming light will be absorbed and converted to another color light, having a langer wavelength. In this process a part energy is absorbed in the fluid, this will be heat, the other part is the lower energy light. This is called inelastic scattering, although it has probably more names like fluorescence.
Under certain conditions with certain media you can even make a laser out of this.
I hope I make sense
EDIT: And in case the input power and absorbtion isn't nicely linearly related you're looking at non-linear optics, very complicated