352 BELL SYSTEM TECHNICAL JOURNAL 



or, with the use of equation (35), 



FF. = 



2(1 - mm){K, + vi'K2) 



X 



r vi 



Ui(7i - 



+ 



V2 



]l^- 



K2 . V2K1 



(60) 



t) -^'2(72 — 7) J L Ti — 7 72 — 7 

 The equal-level far-end near-end interaction crosstalk FN, is given by 



i^iV. =||J h'e-y-'dx', 



(61) 



and under the restrictions we have placed on 71/' and 72/', we have 



FN, = 



4Z(1 - viV2){Ki + vi'K^) 



V r ^^ r V2 



^L^i(7i- 



7) ^^2(72 - 7) 



V1K2 



7i + 7 7 



mKr 1 



^2 + 7 J 



X^Zi 



X 



Near-End 



2(1 - 7?l7j2)(Xl + r,i2X2) 



^71 , ^2 



+ 



Xi(7i — 7) 7^2(72 — 7) 



■qiK-i -n^Ki 



71 + 7 72 + 7 



(62a) 



(62b) 



Under the above restriction that e1'^^ e*^''', ei'^' and e"^*^' are large 

 compared with eT^ the currents and voltages in the disturbing section 

 near x = are given by equations (31) to (34) with the &-terms omitted, 

 and the currents and voltages in the disturbed section adjacent to the 

 sending end by equations (50) to (53). 



The boundary conditions to be satisfied are that at ^c = :j;' = 0, 

 Vi = Fi' = and I1 = — I2. From these boundary conditions we 

 obtain 



ai 



a^ 



- (Pi + gi) + 



- (p2 + g2) + 



/ _ 771X2(52 -\- viqi) 

 ""' ~ K, + ni'K2 ' 



a^ = 



i^i(g2 + 7?igi) 



Kx + 7?i2iC2 



