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We experimentally demonstrate phase retrieval of a single-soliton Kerr combusing electric field cross-correlation implemented via dual-combinterferometry. The phase profile of the Kerr comb is acquired through theheterodyne beat between the Kerr comb and a reference electro-optical comb witha pre-characterized phase profile. The soliton Kerr comb has a nearly flatphase profile, and the pump line is observed to show a phase offset whichdepends on the pumping parameters. The experimental results are in agreementwith numerical simulations. Our all-linear approach enables rapid measurements(3.2 $\mu$s) with low input power (20 $\mu$W).

Characterizing pump line phase offset of a single-soliton Kerr comb by dual comb interferometry