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The response of flames to incident perturbations is of central interest in combustion dynamics analysis. The problem can be described in the linear regime by a transfer function. It is shown in this article that the description of the perturbed velocity field incident on the flame front is of crucial importance when dealing with the flame transfer function. This is demonstrated in the special case of a premixed flame anchored on the rim of a burner submitted to flow perturbations. Previous studies of this problem have shown that in the low-frequency range the flame dynamics was governed by a single dimensionless frequency, and that a first-order model described the general behavior of the flame response when the disturbance wave length exceeds the flame height. Complementary experiments reported in this article indicate that this model fails when the modulation frequency is increased. On this experimental basis, a …