Obviously, almost all mentioned features are very complicated from the point of
view of its mathematical description due to nonstandard models, nonlinear optical
and RF sections of the different OEOs, and complicated interaction of optical and
microwave oscillation, which are principal for normal OEO operation. Mentioned
complications force to undertake the very nonstandard mathematical models of all
optical and RF component of OEO.
Because one of our purposes is the accurate investigation of the ultralow phase
noise of OEO, which is the most important property for the source of microwave and
mm-wave oscillations, it is necessary for us to understand up-to-date details of the
quantum nature of the laser noises in OEO, which can be influenced for the phase
noise of RF section. Section 3.1.4 is devoted to research these issues. For this, we use
standard and nonstandard approaches to the laser theory.
After that (Sect. 3.1.5), we discuss the functional diagrams of OEO with direct
and external modulation of laser emission, introduce the mathematical description of
OEO principal components: the laser, the optical fiber, the photodetector, the RF
amplifier, the optical amplifier, the RF and optical filters, directional couplers,
auxiliary blocks, power sources, and so on.
Section 3.2 is devoted to detailed investigations of both methods of the laser
emission modulation and the approaches for heterodyning of the useful laser emission. Our principal position here is the laser representation as the main source of
fluctuations, which have the quantum nature.
We consequently describe the theory of OEO with direct modulation (Sect. 3.2.1)
and the external modulation (Sect. 3.2.2) in detail.
Before the construction of main OEO DM and OEO MZ differential equations,
which will be chosen for investigation in this book, at first, we must specify the
mathematical models of principal OEO component. These problems are considered
in Sect. 3.3. After that, we go on to so-called equations of amplitude and phase
balance (Sect. 3.4), which are well-known to specialists in nonlinear oscillation
theory. In Sect. 3.4.3, we describe the symbolic and then “abbreviated” differential
equations of OEOs of different types.
Main results of this chapter are summed in Sect. 3.5.
3.1 Direct and External Laser Modulation in OEO
Before discussing of this chapter materials, we describe at first the main structure of
the OEO mathematical analysis as a whole in this book to explain the text sequence
and the logic of future materials.
74 3 Modulation Methods of Laser Emission in Optoelectronic oscillator (OEO) and OEO. . .
view of its mathematical description due to nonstandard models, nonlinear optical
and RF sections of the different OEOs, and complicated interaction of optical and
microwave oscillation, which are principal for normal OEO operation. Mentioned
complications force to undertake the very nonstandard mathematical models of all
optical and RF component of OEO.
Because one of our purposes is the accurate investigation of the ultralow phase
noise of OEO, which is the most important property for the source of microwave and
mm-wave oscillations, it is necessary for us to understand up-to-date details of the
quantum nature of the laser noises in OEO, which can be influenced for the phase
noise of RF section. Section 3.1.4 is devoted to research these issues. For this, we use
standard and nonstandard approaches to the laser theory.
After that (Sect. 3.1.5), we discuss the functional diagrams of OEO with direct
and external modulation of laser emission, introduce the mathematical description of
OEO principal components: the laser, the optical fiber, the photodetector, the RF
amplifier, the optical amplifier, the RF and optical filters, directional couplers,
auxiliary blocks, power sources, and so on.
Section 3.2 is devoted to detailed investigations of both methods of the laser
emission modulation and the approaches for heterodyning of the useful laser emission. Our principal position here is the laser representation as the main source of
fluctuations, which have the quantum nature.
We consequently describe the theory of OEO with direct modulation (Sect. 3.2.1)
and the external modulation (Sect. 3.2.2) in detail.
Before the construction of main OEO DM and OEO MZ differential equations,
which will be chosen for investigation in this book, at first, we must specify the
mathematical models of principal OEO component. These problems are considered
in Sect. 3.3. After that, we go on to so-called equations of amplitude and phase
balance (Sect. 3.4), which are well-known to specialists in nonlinear oscillation
theory. In Sect. 3.4.3, we describe the symbolic and then “abbreviated” differential
equations of OEOs of different types.
Main results of this chapter are summed in Sect. 3.5.
3.1 Direct and External Laser Modulation in OEO
Before discussing of this chapter materials, we describe at first the main structure of
the OEO mathematical analysis as a whole in this book to explain the text sequence
and the logic of future materials.
74 3 Modulation Methods of Laser Emission in Optoelectronic oscillator (OEO) and OEO. . .