Optoelectronic oscillator (oeo) differential equations as the laser system with modulation and positive feedback

Abstract

This chapter is devoted to the main features of the optoelectronic oscillator, which is considered as the self-oscillating laser system with modulation, which is spanned by the positive feedback loop. We compose symbolic and abbreviated equations of OEO and examine its analog model taking into consideration the laser fluctuations. We discuss the symbolic differential equations of ОЕО with direct modulation and ОЕО with Mach–Zehnder modulator. We investigate the oscillation stability of ОЕО and analyze the self-oscillation conditions and oscillation existence conditions. Then we investigate the dynamics of transients. We describe the differential equation of OEO with Langevinian noise sources. The main positions of the fluctuation laser model are discussed and Langevinian noise sources are described for OEO oscillating system. Relying on the symbolic constitutive equations of the laser with fluctuations, we construct the analog modelstaking into account the laser noises. We analyze the symbolic differential equations of the laser with fluctuations in the quasi-stationary mode for the small signal. We estimate the effect of the spontaneous laser emission. At that, we use the approach basing on the symbolic equation of OEO and on the method of abbreviated fluctuation equations of Evtianov–Kuleshov.