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Very high energy (VHE; energy $E \gtrsim 100\,$GeV) $\gamma$-rays originatingfrom extragalactic sources undergo pair production with low-energy photons ofbackground radiation fields. These pairs can inverse-Compton-scatter backgroundphotons, initiating an electromagnetic cascade. The spatial and temporalstructure of this secondary $\gamma$-ray signal is altered as the $e^+e^-$pairs are deflected in an intergalactic magnetic field (IGMF). We investigatehow VHE observations with the future Cherenkov Telescope Array with its highangular resolution and broad energy range, can potentially probe the IGMF. Weidentify promising sources and simulate $\gamma$-ray spectra over a wide rangeof values of the IGMF strength and coherence length using the publiclyavailable ELMAG Monte Carlo code. Combining simulated observations in a jointlikelihood approach, we find that current limits on the IGMF can besignificantly improved. The projected sensitivity depends strongly on the timea source has been $\gamma$-ray active and on the emitted maximum $\gamma$-rayenergy.

Sensitivity of the Cherenkov Telescope Array to the Detection of Intergalactic Magnetic Fields