Investigation of degenerate dual-pump phase sensitive amplifier using multi-wave model

Abstract

Operation of a degenerate dual-pump phase sensitive amplifier (PSA) is thoroughly numerically investigated using a multi-wave model, taking into account high-order waves associated with undesired four-wave mixing (FWM) processes. More accurate phase-sensitive signal gain characteristics are obtained compared to the conventional 3-wave model, leading to precise optimization of the pump configuration in a degenerate dual-pump PSA. The signal gain for different pump configurations, as well as the phase sensitivity, is obtained and interpreted by investigating the dominant FWM processes in terms of the corresponding phase matching. Moreover, the relation between dispersion slope and the width of the signal gain curve versus the pump-pump wavelength separation is revealed, permitting the application-oriented arbitrary tailoring of the signal gains by manipulating the dispersion profile and pump wavelength allocation.

Investigation of the noise figure in a degenerate dual-pump phase-sensitive amplifier using a multi-wave model

“…[27] (except the value of δλ ofs , which is fixed in the present example) and the ones of Ref. [21]. In this latter case the fiber parameters are those of one of our experiments [37].…”

“…The 7-wave model involves 22 FWM processes, divided into 13 non-degenerate and 9 degenerate processes. Numerical methods are used to solve this model and extract for example the signal gain spectrum [21,22].…”

“…It has been clearly established that the three-wave model of Section II A is not sufficient to give an accurate description of the PSA gain when the frequency separation between the pumps is small and/or the pump powers are large, because it neglects the creation of the extra waves shown in Fig. 2 [21]. The intermediate model of Section II C is thus an attractive alternative.…”

“…However, when the nonlinearity becomes large, new frequencies are created by extra FWM processes, thus making the 3-or 4-wave approach irrelevant. For example, in the case of the dual-pump configuration with degenerate signal and idler, some situations require the development of a 7-wave model involving 22 FWM processes occurring simultaneously along the fiber [21,22]. Some further generalizations have even considered up to 27 modes [23].…”

“…This study reported the influence on the PSA NF of some of the FWM processes among the ones involved in the interaction between the seven waves. However, according to the phase matching condition [28], the 7-wave model may involve up to 22 FWM processes occurring simultaneously along the fiber [21,22]. We can thus expect some situations to occur, in which all the possible mechanisms should be taken into account in the NF calculation, in order to get more accurate results.…”