We propose and demonstrate the use of an adaptive membrane
mirror to increase the efficiency of coupling light into optical singlemode
fibers. The membrane mirror has an active area of 12 mm in
diameter and is electrostatically activated by 37 electrodes. Two optimization
algorithms are compared. The first one is a maximization algorithm,
while the second one is an evolutionary algorithm. These algorithms
are used either to optimize the electrode voltages or to optimize a
set of low-order Zernike polynomials describing the membrane deformation.