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Multi-coated polarizers vs... um... not?

Indeed. Now that I actually have the lens and have been toying with it, I think the design is just amazingly innovative, smart, maybe just shy of freaking brilliant. I'm in love with the lens. No more flare for me, no sir. Woohoo! (Well, unless I want it there for compositional reasons, but you get the idea.)
 
Multi Coating is for reflection free which in the other word, absorbing (some of) the light into the coating.

If lens with reflection, light transparency through lens will be much lower than coated lens because the reflection will also reflect out some useful light. Approximate 15% of useful light will be reflected out (I do not mean you will see stuff darker). Therefore coating does help alot in most cases, but I do not know if it will affect anything in Digital field.

Eyeglasses lens without coating does affect the eye muscle in the long term wearing (tired eye)...which coated lens could bring up the light transparency to 98-99.6% depending what brand of coating you are using.
 
Just to add some physics to this thread because I'm in that mood today :), it's about 4% of light that is reflected upon normal incidence to uncoated glass, and a little less for the glass concoction which isn't really normal glass anymore that is used in lenses.

Also coatings never absorb light, they assist in passing the light through by tuning the refractive indices between the air and the glass. 1-> 1.5 in the case of glass reflects more light than say 1 -> 1.25, 1.25 -> 1.5 in the case of a single coating. The more you approximate a perfectly smooth transition in refractive index the less light is reflected.
 

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