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We investigate photoproduction of charged $\rho$ off the nucleon using$\rho(770)+\pi(140)$ Regge pole exchanges by considering the $\rho$-mesonelectromagnetic multipole moments. The significance of the Ward identity at the$\gamma\rho\rho$ vertex is emphasized for current conservation in the process.Given $\pi$ exchange with the well-known coupling constants for $\gamma\pi\rho$and $\pi NN$, we analyze the role of the $\rho$ exchange in the $\gamma p\to\rho^+n$ and $\gamma n\to\rho^-p$ processes without model-dependences exceptfor the magnetic moment $\mu_{\rho^\pm}=\pm2.01$ and electric quadrupole moment${\cal Q}_{\rho^\pm}=\pm0.027$ fm$^2$ taken from theoretical estimates. Thenondiffractive feature of both cross sections is reproduced with a rapiddecrease beyond the resonance region by the dominance of $\pi$ exchange overthe $\rho$\,. % Cross sections for differential and density matrix elements arepresented to compare with existing data. The parity and photon polarizationasymmetries are predicted to demonstrate the apparent roles of the $\rho$-mesonelectromagnetic multipole moments.

Nondiffractive feature of $\gamma N\to \rho^\pm N$ with $\rho$-meson electromagnetic multipole moments