azu_td_1349475_sip1_... - Arizona Campus Repository

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power coupling efficiency, T, between a source and receiving fiber is calculated
in the exit pupil plane by solving,
7"= I w's w'rLda
"=11 Ws ¥r l 2.4
where Ws is the far field distribution of the source fiber mode pattern, Wr is the
far field distribution of the receiving mode pattern, and L is the coherent optical
transfer function (OTF). The coherent OTF describes the system aberrations
and is given by
L=exp[-jkW(x)} 2.5
where W(x) is the wave front aberration in the exit pupil plane in normalized
coordinates.
If a Gaussian source and receiving far field distribution is substituted into
Equation 2.4 along with Equation 2.5, the result is
' = | Iff exp[-(l+Gi) x -5] exp^-fiX- W(x)} dx
2.6
where a is defined as the mode mismatch parameter between the radii of the
source and receiving fiber modes. Explicitly, a is given by the ratio
CO? r. 2.7