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Quantum interference effects together with partial frequency redistribution(PFR) in line scattering produce subtle signatures in the so called SecondSolar Spectrum (the linearly polarized spectrum of the Sun). These signaturesare modified in the presence of arbitrary strength magnetic fields via theHanle, Zeeman, and Paschen-Back effects. In the present paper we solve theproblem of polarized line formation in a magnetized atmosphere taking intoaccount scattering in a two-level atom with hyperfine structure splittingtogether with PFR. To this end we incorporate the collisionless PFR matrixderived in Sowmya et al. (2014) in the polarized transfer equation. We applythe scattering expansion method to solve this transfer equation. We study thecombined effects of PFR and Paschen-Back effect on polarized line profilesformed in an isothermal one-dimensional planar atmosphere. For this purpose, weconsider the cases of D$_2$ lines of Li\,{\sc i} and Na\,{\sc i}.

Polarized Line Formation in Arbitrary Strength Magnetic Fields: the case of a two-level atom with hyperfine structure splitting