Project Cyclops, A Design... - Department of Earth and Planetary ...

®
LsB ..... sB d'
For co, = 25 MHz, A02 _ 0.72 ° which represents a 7.2 °
degree error at 10 GHz. But since we are only concerned
with variation in AO with time and temperature, we can
easily stand this much absolute error.
O " - 4
o@ _] - _
POINT FREQUENCY EXCESS PHASE
coO
(]) y eo
coO
Q Y eO-_ N o
Q coO 0
(9 2
coo _CO+ _ No
(_ col e l
O o.,o i
2 _1 -Co-el +_ No
(co,_*/2
Q COl el - '_0" No
(_ coO 2 co' -co-e,+ [ 7_-(_-_-Goj I I col _1/21Nj o
CcoO t°l e°+el ",coo,' N
2 +
® coo ,,e= [3 -(_ -_, co'_'"_-(co'_"qN _tOOi j o
coO
® T -Co+,,e
@d O 2@o--A8
Figure K-I. Dispersion phase error in Cyclops proposal
1.
while for the system of Figure K-2 we find
I
Ojl_ 112
-(-:+=, =3 No
i
I
I
i _ _@T_c__,____® L______
POINT FREQUENCY EXCESS PHASE
coO
(]) 7 So
coo
Oo- -_ NO
coO
-- O
coO
@ q- -So+T No
Q co I 81
® coo --,
+ to I -eo+Sl+ NO
coO
(_ -_- - cot -eo-el+_ NO
(_) _o q- + co, -Oo*O,+ [. -(4-.+_,/.,_]
coo NO
_,o _-- - co_ -Oo-et+ [__, - (_ - _,,,_]
_--d) NO
coO
® T zoo
@ 3coo 4 - c°l SO-el+ [. - ( "_"- . co. _---_O ),,2]
NO
@ coo ,,o=[,(" - + _ col )'/2 -(_-_o I col )I/2]N 0
coO -200 + A8
® -7-
@d 0 400--A0
I
I
I
[_("-3' ....,_o, +,o("'_"- _o,
]No
(K6)
Figure K-2. Dispersion phase error in Cyclops proposal
II.
Figure 9-16 shows the curves of/30 vs. (_ol/_o)-
The attenuation of 1-5/8 in. coaxial at l GHz is about
24 dB/km or 120 dB for a 5-km run. Thus No _ 14
nepers. If col = 10 MHz, then with _Oo = 1 GHz.
A0: = 2.8X 10-3 radians = 0.1 14°
REFERENCE
I. Morgan, S.P.: Mathematical Theory of Laminated
Transmission Lines, B.S.T.J. 31, 5, Sept. 1952, p.
895.
214