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| The Matlab algorithm for modeling the response of test masses to ground noise will be presented on this page. | (Edited by Andrey Rodionov on November 28 - 2007) The Matlab algorithm for modeling the response of test masses to the ground noise will be presented on this page. The main idea of this work: find the dependence of the ''__differential length__'' between two mirrors in the arm of interferometer ''__on the values of suspension damping gains__'' for the "input" and "end" test masses in the arms of the interferometer. Minimization of the differential length is an important task, because having minimal differential length means that the force you apply to mirrors forming a cavity to keep the cavity resonating (X-arm, Y-arm or some other cavity) is also minimal. As the first step of our model, we consider the following simplified situation: (1) Each of the test masses is suspended on a system of two thin wires, but we replace that system of a test mass hanging on two wires to a mathematical pendulum with Q-factor which can be varied as if we are varying the suspension damping gain; the whole pendulum will be described in our treatment in terms of the __pendulum transfer function__; (2) the above mentioned wires, or the top point of suspension of the mathematical pendulum, is firmly attached to the top of the cage representing the top of the system of stacks which is used for active vibration damping. We will describe the system of stacks in terms of the __stack transfer function__. See picture for full clarity. attachment:Model.jpg and I have already attached the pdf-file of my presentation at 40-m meeting, made on Wednesday Nov.28 - 2007. attachment:Modelling_of_seismic_noise.pdf |
(Edited by Andrey Rodionov on November 28 - 2007)
The Matlab algorithm for modeling the response of test masses to the ground noise will be presented on this page.
The main idea of this work: find the dependence of the differential length between two mirrors in the arm of interferometer on the values of suspension damping gains for the "input" and "end" test masses in the arms of the interferometer. Minimization of the differential length is an important task, because having minimal differential length means that the force you apply to mirrors forming a cavity to keep the cavity resonating (X-arm, Y-arm or some other cavity) is also minimal.
As the first step of our model, we consider the following simplified situation: (1) Each of the test masses is suspended on a system of two thin wires, but we replace that system of a test mass hanging on two wires to a mathematical pendulum with Q-factor which can be varied as if we are varying the suspension damping gain; the whole pendulum will be described in our treatment in terms of the pendulum transfer function; (2) the above mentioned wires, or the top point of suspension of the mathematical pendulum, is firmly attached to the top of the cage representing the top of the system of stacks which is used for active vibration damping. We will describe the system of stacks in terms of the stack transfer function. See picture for full clarity.
attachment:Model.jpg
- and I have already attached the pdf-file of my presentation at 40-m meeting, made on Wednesday Nov.28 - 2007.
attachment:Modelling_of_seismic_noise.pdf