The systematic trend in charge radii along isotopic chain is of great interest due to its distinctive aspect at the nucleon-shell closure and the odd-even staggering (OES) behavior. In this work, the modified root mean square (rms) charge radius formula to phenomenally account for the formation of neutron-proton short-range correlations (np-SRCs) is firstly extended to study the heavier odd-$Z$ copper and indium isotopic chains. The parabolic-like shape of rms charge radii can be remarkably reproduced between two strong closure shells. In addition, the OES and abrupt changes in the slope of the rms charge radii across $N=50$ and $82$ shell closure are also identified evidently, but the odd-even oscillation is slightly overestimated for cooper isotopes. This means the np-SRCs play an indispensable role to determine the fine structures of nuclear charge radii along isotopic chain quantitatively.
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