  In this work, we discuss the electromagnetic properties of the $S$-wave
$\Sigma_c^{(*)}D^{(*)}$-type doubly charmed molecular pentaquarks, which have
close relation to their inner structures. Both the $S$-$D$ wave mixing effect
and the coupled channel effect are taken into account. We analyze the magnetic
moments for the $S$-wave $\Sigma_c^{(*)}D^{(*)}$ molecular states, and extend
our theoretical framework to study the transition magnetic moments and the
radiative decay widths between the $S$-wave $\Sigma_c^{(*)}D^{(*)}$ molecules.
We discuss the relations between the magnetic moments and the transition
magnetic moments for the $S$-wave $\Sigma_c^{(*)}D^{(*)}$-type doubly charmed
molecular pentaquarks, which can be regarded as an indirect way to measure
their magnetic moments experimentally. The present study may inspire
experimentalist's interest in measuring the electromagnetic properties of the
hadronic molecular states.
