This is interesting; I see now that you are centering the uniform rod around the balance point.
But does that mean that a 8 pt. (1") head-heavy 27" racquet is being compared against a uniform rod which extends from 1" to 28" from the buttcap position, and a 1" head-light racquet is being compared against a rod which is positioned at -1" to 26"? That shift of the tip should matter a lot due to the r^2 dependence, right?
Do you find that head light racquets tend to come out rather polarized and head heavy racquets less polarized by your measure? Could you post numbers for a couple popular racquets that could be compared to their "perceived" polarization?
No, the SW' of the uniform rod is also computed relative to a point 10 cm away from the buttcap. The second term of the sum in the expression for SW' reflects that shift. I am always comparing a given racquet to a uniform rod which has the same mass and length as that racquet.
Usually, it turns out that heavier racquets tend to be more headlight and less polarized so that their swingweight remains manageable for average players, while lighter racquets tend to be more head-heavy and more polarized so that their swingweight can be sufficient.
The counter-intuitive result of this is that unmodified player racquets (heavier, head-light) tend to be depolarized while granny sticks (light and head-heavy) tend to be super-polarized. Tweeners are of course in-between, averaging in the 110% range.
Basically, polarizing a racquet allows you attain a higher swingweight (more stability and plow-through) without increasing mass. Depolarizing a racquet allows you to keep a heavier racquet at a reasonably maneuverable swingweight.
Here are some examples of polarization index values for a few representative racquets (you can make compute your own from the specs made available by TW):
Wilson Pro Staff 6.0 85 - 98% !
Wilson Pro Staff 6.1 Classic - 99%
Uniform rod - 100%
Volkl C10 Pro - 101%
Head Youtek Prestige Mid - 102%
Prince Graphite Mid - 104%
Prince Graphite OS - 104%
ProKennex Kinetic 5G - 104%
Volkl V1 Classic MP - 111%
Babolat Pure Drive GT - 112%
Wilson KFactor KBlade 98 - 112%
Babolat APD GT - 112%
Head Youtek Radical MP - 113%
Prince TT Bandit OS - 128%
Head Ti.S6 - 134%
Wilson 2.3 Hyper Hammer SOS - 141%!