6.5.1 Symbolic Differential Equations of OEO MZ
with Fluctuations
The symbolic differential equations of OEO MZ (Fig. 6.12a) with fluctuations have
discussed in Chap. 5, where the system (5.67) was obtained:
Q 0 p
ð ÞE L ¼ α 00 E L À β 00 E L E L
j j
2 þ ξ SN
i PD ¼ 0:5 E L E
Ã
Lτ
γ cos φ 0MZ þ u MZ =U 0MZπ
½
Š
p
2
þ
1
T F
p þ 2π f eF0
ð
Þ
2
!
u MZ ¼ K FODL
j
j=S PD
ð
Þ pS A i PD
ð Þexp ÀpT FOLD
½
Šþξ U
8
> > > <
> > > :
:
ð6:29Þ
Fig. 6.12 Structures of OEO MZ with different extraction of included components: (а) OEO MZ
with extracted optoelectronic part “MZ-FOS-PD” into the block RF FODL; (b) representation of
OEO MZ with the noise source as the nonlinear RF amplifier spanned by the positive feedback,
consisting of series-connected blocks of the RF filter, RF coupler and RF FODL; (с) representation
of OEO MZ with the noise source as the nonlinear amplifier covered by the positive feedback or the
block “F-C-RF FODL” with the complex conductance Y a and the noise voltage ξ n ¼ ξ YYn
312
6 Operation Analysis of Optoelectronic oscillator (OEO) with External. . .