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Adequate vibration isolation is of great importance for the design of anysensitive experiment measuring mechanical motions. The so-called multistage ormultipole mechanical low pass filter is a common artifact used for theconstruction of highly effective vibration isolation. However, the problem withit is the vertical clearance needed inside the vacuum chambers for theconstruction of numerous, long pendulum stages necessary for effectivehorizontal vibration isolation. The purpose of this work is to introduce a newconcept, called the multi-nested pendula concept, which solves this problem.The attenuation performance of an ideal multistage nested pendula filter isbetter than that of an ideal multistage common equal pendula filter by a factorof N^{N}, where N is the number of stages used, making this idea of amulti-nested pendula a very interesting one. The initial results (of stabilityand system resonances) measured for a prototype reinforce the viability of thepractical implementation of such idea. A detailed study for the realization ofa cryogenic and fully operational version to be used in LIGO is going to bedone in a future study.

Multi-Nested Pendula: a new concept for vibration isolation and its application to gravitational wave detectors