Sources of photon pairs based on the spontaneous parametric down conversion process are commonly used for long distance quantum communication. The key feature for improving the range of transmission is engineering their spectral properties. Following two experimental papers [Opt. Lett., 38, 697 (2013)] and [Opt. Lett., 39, 1481Lett., 39, (2014] we analytically and numerically analyze the characteristics of a source. It is based on a β barium borate (BBO) crystal cut for type II phase matching at the degenerated frequencies 755 nm → 1550 nm + 1550 nm. Our analysis shows a way for full control of spectral correlation within a fiber-coupled photon pair simultaneously with optimal brightness. © 2018 Optical Society of America OCIS codes: 190.4410,300.6190,270.4180,270.5565 Sources of polarization entangled photon pairs based on the process of spontaneous parametric down conversion (SPDC) [1][2][3][4][5][6][7][8] are now commonly used in various experiments such as those testing fundamentals quantum mechanics, for quantum communication protocols or quantum information processing. Each application defines a set of specific requirements for the characteristics of photons for the best performance. For example, for a heralded qubit encoded in a polarization state any correlation in any other degree of freedom, within a photon pair, will reduce the purity of the resulting state. Therefore there is a need to engineer characteristics of a source to produce uncorrelated pairs [9][10][11]. In turn, the polarization entanglement is a basic block of quantum communication [12,13] and quantum metrology [14,15]. The photons are transmitted through optical systems and single-mode fibers (SMF). Optical elements are dispersive and cause unwanted modification of the photons' temporal characteristics. The deteriorating dispersion effects can be reduced by using photon pairs that are spectrally narrow and feature appropriate spectral correlations [16][17][18].The spectra of SMF coupled photon pairs generated in SPDC process can be negatively [19,20], positively [16][17][18][21][22][23] or not correlated at all [24][25][26]. The effect of negative correlation originates from the energy conservation relation and is a consequence of pumping by a continuous wave (CW) laser. Uncorrelated spectra can be achieved in a nonlinear crystal by using a pulsed laser pump with careful setup parameter choice or by using narrow spectral filters. However, for positive correlation, an additional requirement of group velocity matching needs to be fulfilled [21].Here we perform numerical analysis of the SPDC photon pair source experimentally analyzed in Refs [17,18], which is schematically depicted in Fig. 1. We discuss trade-offs between the correlation parameter, pair production rate and SMF coupling efficiency, which are figures of merit allowing to estimate source's suitability for