Physics
Scientific paper
May 2003
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2003phrvd..67j2004d&link_type=abstract
Physical Review D, vol. 67, Issue 10, id. 102004
Physics
18
Experimental Tests Of Gravitational Theories, Control Systems, Interferometers, Lasers
Scientific paper
We introduce and study a non-Gaussian paraxial cavity mode that has a special beam intensity by properly designing the end mirrors of a resonator. The final aim is to reduce the thermoelastic noise generated by the interaction between the field and the mirror by optimizing the shape of both. We present numerical results for the special design of a resonator as long as the Fabry-Pérot arms of the gravitational wave detector Laser Interferometric Gravitational Wave Observatory (LIGO). We discuss the alignment stability of such a cavity and we present the most important investigations we have done for implementing the reshaped mirrors we propose in the next LIGO configuration. We implement different numerical tools in order to understand the impact of both a small misalignment in the Fabry-Pérot cavity and imperfections in the radial profile of the mirrors on the power built up inside the resonators and on the signal at the dark port of the beam splitter. The results of all the simulation runs are compared with an analytical model that takes into account mismatch problems and losses.
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