Abstract:We use a semi-analytical model of stimulated thermal Rayleigh scattering to present theoretical study of seed power on mode instability with the presence of photodarkening. The behavior of mode instabilities as a function of seed power has been investigated. The nonlinear dependence of the threshold with lower seed powers is ascribed to the influence of gain saturation while the reduction behavior of the threshold with higher seed powers is put down to the effects of photodarkening, which agrees well with the experimental results.
IntroductionMode instabilities have been under intense investigation during the past few years, and several research groups have carried out much work to investigate the underlying physical mechanisms [1,2]. So far a common agreement on the thermal origin of the mode instabilities has been achieved, while the required phase shift is still a subject of discussion. Essentially two different assumptions have been proposed in the literature, and models for both assumptions have been developed, which can be used to explain and predict the experiments [3][4][5]. However, the dependence of mode instabilities on the seed power, experimentally reported in Refs.[5] and [6], has not been explained or investigated in details from the perspective of the stimulated thermal Rayleigh scattering assumption. In this paper, based on a semi-analytical model of the stimulated thermal Rayleigh scattering, the behavior of threshold power and maximal coupling frequency as a function of seed power has also been investigated, and good agreement with experimental results has been achieved.
Theoretical studyIn this section, we first study the threshold behavior as a function of seed power without considering the effects of photodarkening. To model mode instability thresholds and the maximal coupling frequency, we use our semianalytical STRS model (detailed in [7,8]). The co-pumped cladding pumped amplifiers are unbent, step-index fibers with uniform doping across the full core. We define threshold as the signal output or pump power at which LP 11 content reaches 5%. We assume that mode instabilities are induced by the quantum noise, which is a minimum seed level and yields the highest thresholds. Even though the simulations are exemplified for the particular case of the quantum noise induced mode instabilities, the qualitative behavior of the threshold will be similar for other cases [4,9,10]. The fiber parameters used are listed in Table 1. These parameters are typical of high power ytterbium doped amplifiers.