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Faraday Rotator/Isolators
Isolation Defined:
The two main factors which determine isolation are the extinction level of the polarizers and rotator optic, and the radial uniformity of the Faraday rotator. The radial uniformity is the angle of rotation across a cross section of the rotator optic. The following equation give the isolation ratio (I.R.) due to radical uniformity for a Faraday rotator when placed between polarizers having an extinction of ≥10-5 for a Gaussian beam:
I.R. = -10log P Leakage/P Incident
or: I.R. =
Isolation Ratio due to radial uniformity

Where:
a = Clear aperture radius
w = Gaussian beam 1/e2 intensity, radius = 2/3 of clear aperture
βr = Radial variation of rotation = θ(r) -θ on axis
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