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We design and experimentally demonstrate some negative dispersion mirrors with optimized Gires-Touois interferometers. The mirror structure is composed of 38 alteating Ta2O5 and SiO2 layers and could be regarded as two sections: high-reflectivity section consisting of a series of quarter-wavelength optical thickness stacks and negative-dispersion section consisting of only 13 layers. The designed mirrors exhibit the expected performance.These mirrors were fabricated by using ion beam sputtering. By adopting such mirrors, dispersion of a modelocked femtosecond Ti:sapphire laser has been compensated for mostly. With two series of the mirrors, 32fs and 15fs pulses have been obtained respectively.