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We in this paper study the generation of primordial magnetic field (PMF) inthe non-singular bouncing scenario, through the coupling of the electromagneticfield to gravity. We adopt an electrodynamic model with a coupling coefficientas a function of the scale factor $a$, i.e. $f=1+(a/a_\star)^{-n}$, with$a_\star$ and $n>0$ being constants. The result implies that in this mechanism,the power spectrum of PMF today is always blue tilted on large scales from $1$Mpc to the Hubble length, and the observational constraints favor theekpyrotic-bounce scenario. Furthermore, the back reaction of the energy densityof PMF at the bouncing point yields theoretical constraints on the bouncingmodel.

Primordial Magnetic Field from Gravitationally Coupled Electrodynamics in Bouncing Scenario