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Recently DeMille et al \underline {\textbf{100}} 023003, 2008.} proposed using $\mathrm{<mrow\; data-mjx-texclass="ORD">87</mrow>}$SrF and other heavy diatomic molecules to measure nuclear spin-dependent parity violation (NSD-PV). In this scheme the $N$=0 (+-parity) levels of the $X2$$\Sigma +$ (v=0) state will be magnetically tuned into near degeneracy with the $N$=1(- parity) levels. The pairs of nearly degenerate levels are mixed by NSD-PV interactions. The process will be monitored using the optical $A2$$\Pi$-$X2$$\Sigma +$ transition. Here we report on the analysis of the (1,0) band for $\mathrm{<mrow\; data-mjx-texclass="ORD">88</mrow>}$SrF and the (0,0) band for $\mathrm{<mrow\; data-mjx-texclass="ORD">87</mrow>}$SrF of the $A2$$\Pi$-$X2$$\Sigma +$ system recorded at near natural linewidth limit. A combined fit of the optical spectra with the previously recorded rf-transitions \underline {\textbf{93}} 1990 93, 5533.} and pure rotational transitions \underline {\textbf{93}} 74, 1982.} was performed.