Chapter 7
Optoelectronic oscillator (OEO) as the Time
and Spatial Correlator of Random
Variables with Differential Delay Line
This chapter is devoted to the analysis of OEO as the time and spatial correlator of
random variables. In Sect. 7.1, we describe the general issues of this OEO operation
mode. The model of the nonsymmetric dielectric waveguide structure with the laser
and the optical waveguide is discussed in Sect. 7.2. The analysis of OEO DM on the
base of abbreviated differential equations is executed in Sect. 7.3 together with the
issues of frequency control in OEO DM by the laser pumping current. The diagrams
of frequency control in OEO DM with differential RF FODL are described in Sect.
7.4. Section 7.5 is devoted to problems of parametric and long-term frequency
instability in OEO with RF FODL. Fluctuation equations for PSD of amplitude
and phase noises in OEO DM are discussed in Sect. 7.6. Section 7.7 is devoted to an
analysis of frequency and phase control systems in OEO.
7.1 OEO as the Time and Spatial Correlator of Random
Variables
Before the discussion of characteristics of the electromagnetic field in the
nonsymmetrical waveguide channel of the MZ modulator, we make some conclusions of the analysis of PSD of the phase noise in OEO, which are obtained in
Chaps. 3–6. We formulate the main mechanisms which causes the phase noise
suppression in the oscillating system of OEO (Fig. 7.1), and discuss the influence
of time and spatial coherence of QWLD emission upon PSD of the phase noise in
OEO MZ.
We single out several main mechanisms of the phase noise suppression in
OEO owing to:
• The fiber-optical delay line with the geometrical length more than 1000 m (the
suppression coefficient due to the length K
2
1Γ F
ð Þ was analyzed in Chap. 6).
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Switzerland AG 2020
A. A. Bortsov et al., Laser Optoelectronic Oscillators, Springer Series in Optical
Sciences 232, https://doi.org/10.1007/978-3-030-45700-6_7
367
Optoelectronic oscillator (OEO) as the Time
and Spatial Correlator of Random
Variables with Differential Delay Line
This chapter is devoted to the analysis of OEO as the time and spatial correlator of
random variables. In Sect. 7.1, we describe the general issues of this OEO operation
mode. The model of the nonsymmetric dielectric waveguide structure with the laser
and the optical waveguide is discussed in Sect. 7.2. The analysis of OEO DM on the
base of abbreviated differential equations is executed in Sect. 7.3 together with the
issues of frequency control in OEO DM by the laser pumping current. The diagrams
of frequency control in OEO DM with differential RF FODL are described in Sect.
7.4. Section 7.5 is devoted to problems of parametric and long-term frequency
instability in OEO with RF FODL. Fluctuation equations for PSD of amplitude
and phase noises in OEO DM are discussed in Sect. 7.6. Section 7.7 is devoted to an
analysis of frequency and phase control systems in OEO.
7.1 OEO as the Time and Spatial Correlator of Random
Variables
Before the discussion of characteristics of the electromagnetic field in the
nonsymmetrical waveguide channel of the MZ modulator, we make some conclusions of the analysis of PSD of the phase noise in OEO, which are obtained in
Chaps. 3–6. We formulate the main mechanisms which causes the phase noise
suppression in the oscillating system of OEO (Fig. 7.1), and discuss the influence
of time and spatial coherence of QWLD emission upon PSD of the phase noise in
OEO MZ.
We single out several main mechanisms of the phase noise suppression in
OEO owing to:
• The fiber-optical delay line with the geometrical length more than 1000 m (the
suppression coefficient due to the length K
2
1Γ F
ð Þ was analyzed in Chap. 6).
© The Editor(s) (if applicable) and The Author(s), under exclusive license to
Springer Nature Switzerland AG 2020
A. A. Bortsov et al., Laser Optoelectronic Oscillators, Springer Series in Optical
Sciences 232, https://doi.org/10.1007/978-3-030-45700-6_7
367