## 1 Introduction
[18] reported 1.5 \(\upmu\)m to 8.3 \(\upmu\)m broadband SC generation with high coherence property from 15 cm long As\({}_{2}\)S\({}_{3}\)/As\({}_{38}\)S\({}_{62}\) tapered optical fiber (TOF) pumped at 3.75 \(\upmu\)m by controlling the waist core diameter using the homemade tapering platform to realize the ANDi characteristic of fibers. Compared with conventional As-S and As-Se glasses, Ge-Sb-Se glasses exhibit enhanced thermal and mechanical durability, a higher Raman gain coefficient, increased optical nonlinearity, an ultrafast optical response, a superior infrared transmission range, and excellent infrared transmittance [19]. Furthermore, the substitution of highly toxic As with Sb in Ge-Sb-Se glasses contributes to their reduced toxicity and improved environmental friendliness. Ge-Sb-Se glasses have gained significant attention in recent years. [PERSON] et al. [20] reported a high nonlinear Ge\({}_{15}\)Sb\({}_{25}\)Se\({}_{60}\)/Ge\({}_{15}\)Sb\({}_{20}\)Se\({}_{65}\) SIF with a high damage threshold of 3674 GW/cm\({}^{2}\), and the SC from 1.8 \(\upmu\)m to 14.0 \(\upmu\)m was obtained by optical parametric amplification (OPA). [PERSON] et al. [21] designed an all-solid PCF with ANDi profile using two compatible CHGs, namely Ge\({}_{15}\)Sb\({}_{15}\)Se\({}_{70}\) and Ge\({}_{20}\)Se\({}_{80}\), which were used as background material and for solid rods, respectively, by pumping 50 fs duration laser pulses with a total energy of 900 pJ at 3 \(\upmu\)m, and a broadband SC with \(-\)5 dB bandwidth spanning from 1.6 \(\upmu\)m to 7.0 \(\upmu\)m was generated in 1 cm long PCF. The generation of SC in fibers involves the interaction between numerous linear and nonlinear effects and is a very complex physical process, resulting from the interplay of a number of effects, such as self-phase modulation (SPM), cross-phase modulation (XPM), four wave mixing (FWM), stimulated Raman scattering (SRS), and soliton fission [22; 23; 24; 25]. It is worth noting that SRS is an important nonlinear process in SC generation. When the pump laser intensity is sufficient, the high frequency components act as a pump source for lower frequencies, which is the main cause of significant broadening of the SC in the long wavelength region [26]. SRS is closely related to the Raman gain coefficient and the Raman response function. Therefore, an accurate Raman response function is of great significance for accurately simulating SC generation. The Raman gain spectrum of fused silica is commonly represented by a single Lorentzian function, and the corresponding Raman response function becomes a simple damped harmonic oscillation [27]. The Raman gain spectra and Raman response functions of As\({}_{2}\)S\({}_{3}\) and As\({}_{2}\)Se\({}_{3}\) show a similar form to that of fused silica [28]. However, the Raman gain spectrum of CHG glasses, such as Ge-As-Se, Ge-Sb-Se, and Ga-Sb-S, have a multi-peaked structure, and the Raman response function calculated using the conventional single Lorentzian model differs significantly from the actual situation, leading to a substantial impact on the accurate simulation of SC and Raman laser output. Unfortunately, some of the literature has overlooked this issue. For example, [PERSON] et al. [29] report broadband SC generation through a flat dispersion profile of the Ge\({}_{11.5}\)As\({}_{24}\)Se\({}_{64.5}\) PCF, and the Raman response function of Ge\({}_{11.5}\)As\({}_{24}\)Se\({}_{64.5}\) material is directly represented by Lorentzian spectral profile. This not only reduces the accuracy of the Raman response function but also affects the subsequent SC generation. Furthermore, certain studies misapplies the Raman response function of As\({}_{2}\)S\({}_{3}\) and As\({}_{2}\)Se\({}_{3}\). For instance, [PERSON] et al. [30] directly used the Raman response function of As\({}_{2}\)Se\({}_{3}\) as a replacement for Ga\({}_{8}\)Sb\({}_{32}\)S\({}_{60}\) material in their study of broadband coherent SC in ANDi fiber.