We propose and experimentally demonstrate a method based on Brillouin optical time-domain analysis to measure the longitudinal signal power distribution along phase-sensitive fiber-optical parametric amplifiers (PS-FOPAs). Experimental results show that the amplification of a PS-FOPA could go through different longitudinal profiles and yet finish with the same overall gain. This behavior is in sheer contrast with theoretical expectations, according to which longitudinal gain distribution should follow certain profiles determined by the initial relative phase difference but can never end up in the same overall gain. The gap between theory and experiment only becomes evident when the pump wavelength is within the fluctuation range of the zero dispersion wavelength (ZDW) A focus has been increasingly placed on fiber parametric devices by the research community [1,2]. In particular, phase-sensitive fiber-optical parametric amplifiers (PSFOPAs) have received special attention for their distinguished noise figure which allows for a significant increase in channel capacity [1]. Since parametric amplification takes place while the signal propagates along the fiber, PS-FOPAs should be evidently considered as distributed elements. Still, in almost all previous experimental studies, the spectral characteristics of PS-FOPAs and their gain are measured solely at the output end of the fiber [2], neglecting the distributed nature of the amplifier in favor of a description of a lumped amplification process. In a lumped model, a PS-FOPA of length L is seen as an amplifier of gain G, whereas it is in fact made of an infinite number of cascaded amplifiers, each one corresponding to a PS-FOPA of an infinitesimal length dL. Although the overall gain of the amplifier is of foremost importance, the gain evolution along the fiber also matters to determine the amplifier performance. Actually, reordering the stages in cascaded amplifiers can severely affect the performance of the overall amplification process, in particular its noise characteristics, even though the total gain is the same [3]. It is therefore important to conceive a method to find the gain evolution along parametric amplifiers. The easiest way would be analyzing the basic scalar equations that describe the parametric amplification in terms of powers of pump, signal, and idler, as well as the relative phase difference between these waves [4]. However, the validity of these equations depends on assumptions that do not necessarily hold under experimental conditions. The limitations of the existing theory accentuate the necessity to conceive an experimental setup extracting the power distribution along fiber-optic parametric amplifiers. Depending on the phase difference between pump, signal, and idler at input of a PS-FOPA, different possible combinations of amplification (energy transfer from pump to signal/idler) and/or de-amplification (energy transfer from signal/idler to the pump) processes can occur along the fiber. These profiles may not be discernible from each oth...