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We present two ultra-stable lasers based on two vibration insensitive cavitydesigns, one with vertical optical axis geometry, the other horizontal.Ultra-stable cavities are constructed with fused silica mirror substrates,shown to decrease the thermal noise limit, in order to improve the frequencystability over previous designs. Vibration sensitivity components measured areequal to or better than 1.5e-11 per m.s^-2 for each spatial direction, whichshows significant improvement over previous studies. We have tested the verylow dependence on the position of the cavity support points, in order toestablish that our designs eliminate the need for fine tuning to achieveextremely low vibration sensitivity. Relative frequency measurements show thatat least one of the stabilized lasers has a stability better than 5.6e-16 at 1second, which is the best result obtained for this length of cavity.

Ultrastable lasers based on vibration insensitive cavities