Polarizing light through a series of reflections?

[Rhino1000]

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Because light is partially polarized upon reflection off a surface, is it possible or plausible to nearly completely polarize light by shining a beam of light at an angle to a pair of parallel mirrors in a way that the light bounces off of one mirror and then hits the other and bounces back, etc.? Or is the amount that light is polarized so miniscule that this would be highly impractical when compared to the amount of energy lost for each "impact."

 

[DrknoSDN]

That has already been done.

http://www.cnn.com/2008/HEALTH/12/19/laser.surgery/index.html ("Perfect Mirror Laser")
Also search "MIT Perfect Mirror" and you will get lots of laser and fiber optic related applications.

[Edit] That may not be the best example but it is possible. That link is actually overcoming the polarization problem so light reflecting off mirrors repeated does often experience polarization.