In the framework of a constant-density model, we study the linear resp
onse of a premixed flame to large scale, but time dependent, curvature
and stretch of given strength and frequency. It is analytically sugge
sted that: i) as the frequency of forcing increases above the reciproc
al transit time across the flame, the local instantaneous burning spee
d gets less and less sensitive to hydrodynamical stretch. ii) the infl
uence of differential diffusion of heat and deficient reactant is mild
er and milder when the high-frequency limit is approached, so that the
Lewis-number-effects tend to disappear. The predicted trends are put
in perspective with the results of recent measurements on acoustically
destabilized flames.