Images of shadow and thin accretion disk around Bardeen black hole surrounded by perfect fluid dark matter

Abstract: We investigated the shadow and optical appearance of Bardeen black hole (BH) immersed in perfect-fluid dark matter (PFDM). Using the EHT data, we find that the DM parameter is restricted to a narrow allowed range, confined to values of $\mathcal{O}(10^{-1}-10^{-2})$. Additionally, we observed that increasing the DM parameter substantially enlarges the photon sphere, the critical impact parameter, and thus the shadow radius, whereas the magnetic charge $g$ produces only negligible corrections. The DM component also modifies the optical appearance of the accretion disk: higher $b$ systematically suppresses the observed radiation intensity and reduces image brightness, while changes in $g$ yield only marginal effects. Subsequently, using the Novikov-Thorne thin disk model, we analyze primary and secondary images, observed flux, and redshift patterns, showing that PFDM noticeably alters image size and brightness whereas magnetic charge has a negligible influence. No blueshifted regions appear in any configuration. These results highlight several promising observational signatures for testing DM environments and nonlinear electrodynamic effects around BHs.