Karlsruhe 2011 – scientific programme
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GR: Fachverband Gravitation und Relativitätstheorie
GR 3: Experimentelle Tests
GR 3.2: Talk
Tuesday, March 29, 2011, 14:20–14:40, 20.40: 101
Towards high precision modeling at the 10−20 level — Michael Andres1, Lothar Banz1, Adrian Costea1, •Eva Hackmann2, Sven Herrmann2, Claus Lämmerzahl2, Leo Nesemann1, Zouhair Nezhi1, Benny Rievers2, and Ernst P. Stephan1 — 1IfAM, Leibniz Universität Hannover — 2ZARM, Universität Bremen
In modern high precision experiments optical high-finesse resonators are widely used as a frequency reference for the stabilization of lasers e.g. in optical atomic clocks or in direct tests of special and general relativity. Changes in the optical length of optical resonators are now commonly measured to 10−15 precision, and new experimental approaches point out that the achievable experimental accuracies may improve down to the level of 10−17 in the near future. Therefore, the requirements for accurate numerical simulation are increasing constantly. If deformations of the optical length of a resonator in the range of 10−15 occur, those effects can not be simulated and analyzed any more with standard methods based on double precision data types.
For the development and improvement of high precision resonators and the analysis of experimental data, new methods have to be developed which allow for the needed level of simulation accuracy. Therefore ZARM and IfAM plan the development of new high precision algorithms for the simulation and modeling of thermo-mechanical effects with an achievable accuracy of 10−20. In this talk we present a test case and identify the problems on the way to this goal.