\BOOKMARK [1][-]{section.1}{1 Executive summary}{}% 1 \BOOKMARK [2][-]{subsection.1.1}{1.1 Recommendations}{section.1}% 2 \BOOKMARK [2][-]{subsection.1.2}{1.2 Summary of the reasoning behind the recommendations}{section.1}% 3 \BOOKMARK [1][-]{section.2}{2 Expected performance of the LCGT SPI}{}% 4 \BOOKMARK [2][-]{subsection.2.1}{2.1 Suspension Model}{section.2}% 5 \BOOKMARK [2][-]{subsection.2.2}{2.2 Observation band seismic noise}{section.2}% 6 \BOOKMARK [2][-]{subsection.2.3}{2.3 RMS motion}{section.2}% 7 \BOOKMARK [3][-]{subsubsection.2.3.1}{2.3.1 Displacement RMS}{subsection.2.3}% 8 \BOOKMARK [3][-]{subsubsection.2.3.2}{2.3.2 Hierarchical control}{subsection.2.3}% 9 \BOOKMARK [3][-]{subsubsection.2.3.3}{2.3.3 Speed RMS}{subsection.2.3}% 10 \BOOKMARK [1][-]{section.3}{3 Heat link vibration isolation}{}% 11 \BOOKMARK [2][-]{subsection.3.1}{3.1 Heat-link design}{section.3}% 12 \BOOKMARK [2][-]{subsection.3.2}{3.2 Estimated vibration introduced from the heat-links}{section.3}% 13 \BOOKMARK [2][-]{subsection.3.3}{3.3 Cryogenic active vibration isolation}{section.3}% 14 \BOOKMARK [2][-]{subsection.3.4}{3.4 Conclusion for heat-link vibration isolation}{section.3}% 15 \BOOKMARK [1][-]{section.4}{4 Lock acquisition}{}% 16 \BOOKMARK [2][-]{subsection.4.1}{4.1 LCGT lock acquisition procedure}{section.4}% 17 \BOOKMARK [2][-]{subsection.4.2}{4.2 Obstacles for arm cavity lock}{section.4}% 18 \BOOKMARK [3][-]{subsubsection.4.2.1}{4.2.1 Impulse limit velocity for mass lock acquisition}{subsection.4.2}% 19 \BOOKMARK [3][-]{subsubsection.4.2.2}{4.2.2 Ringing velocity}{subsection.4.2}% 20 \BOOKMARK [3][-]{subsubsection.4.2.3}{4.2.3 Radiation pressure}{subsection.4.2}% 21 \BOOKMARK [3][-]{subsubsection.4.2.4}{4.2.4 Arm lock simulation}{subsection.4.2}% 22 \BOOKMARK [2][-]{subsection.4.3}{4.3 Advanced lock acquisition techniques}{section.4}% 23 \BOOKMARK [3][-]{subsubsection.4.3.1}{4.3.1 Offset locking}{subsection.4.3}% 24 \BOOKMARK [3][-]{subsubsection.4.3.2}{4.3.2 Green laser pre-lock}{subsection.4.3}% 25 \BOOKMARK [2][-]{subsection.4.4}{4.4 Conclusion for lock acquisition}{section.4}% 26 \BOOKMARK [1][-]{section.5}{5 Vacuum tubes}{}% 27 \BOOKMARK [1][-]{appendix.A}{A Design of the LCGT Suspension Point Interferometer}{}% 28 \BOOKMARK [2][-]{subsection.A.1}{A.1 Working Principle}{appendix.A}% 29 \BOOKMARK [3][-]{subsubsection.A.1.1}{A.1.1 Rigid Bar Picture}{subsection.A.1}% 30 \BOOKMARK [2][-]{subsection.A.2}{A.2 Design of the LCGT SPI}{appendix.A}% 31 \BOOKMARK [3][-]{subsubsection.A.2.1}{A.2.1 Interferometer Configuration}{subsection.A.2}% 32 \BOOKMARK [3][-]{subsubsection.A.2.2}{A.2.2 Location of SPI in the Suspension Chain}{subsection.A.2}% 33 \BOOKMARK [3][-]{subsubsection.A.2.3}{A.2.3 Suspension Design}{subsection.A.2}% 34 \BOOKMARK [3][-]{subsubsection.A.2.4}{A.2.4 Noise Requirement}{subsection.A.2}% 35 \BOOKMARK [3][-]{subsubsection.A.2.5}{A.2.5 Input Optics}{subsection.A.2}% 36 \BOOKMARK [3][-]{subsubsection.A.2.6}{A.2.6 Comments on technical feasibility}{subsection.A.2}% 37 \BOOKMARK [1][-]{appendix.B}{B Members of the working group}{}% 38 \BOOKMARK [1][-]{appendix.C}{C Acronyms}{}% 39