  We introduce the notion of strong regular holonomic ${\mathcal{D}}_{{X\times
S}/S}$-module and we prove that the functor ${\mathrm{RH}}^S$ introduced by T.
Monteiro Fernandes and C. Sabbah in [14] takes image in
${\mathsf{D}}^{\mathrm{b}}_{\mathrm{srhol}}({\mathcal{D}}_{{X\times S}/S})$
(complexes of ${\mathcal{D}}_{{X\times S}/S}$-module whose cohomologies are
strongly regular). We prove that for $\dim X=\dim S=1$ the functor solution
functor ${}^\mathrm{p}{\mathrm{Sol}}$ restricted to
${\mathsf{D}}^{\mathrm{b}}_{\mathrm{srhol}}({\mathcal{D}}_{{X\times S}/S})$ is
an equivalence of categories with quasi-inverse ${\mathrm{RH}}^S$.
