Coupling of lateral grating displacement to the output ports of a diffractive Fabry–Perot cavity

Hallam, J., Chelkowski, S., Freise, A., Hild, S., Barr, B. , Strain, K. , Burmeister, O. and Schnabel, R. (2009) Coupling of lateral grating displacement to the output ports of a diffractive Fabry–Perot cavity. Journal of Optics A: Pure and Applied Optics, 11(8), 085502. (doi: 10.1088/1464-4258/11/8/085502)

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Abstract

Diffraction gratings have been proposed as core elements in future laser-interferometric gravitational wave detectors. In this paper, we use a steady-state technique to derive coupling of lateral grating displacement to the output ports of a diffractive Fabry–Perot cavity. By introducing a signal to noise ratio (SNR) for each of the three cavity output ports, the magnitudes of the noise sidebands originating from lateral grating displacement are compared to the magnitude of a potential gravitational wave signal. For the example of a 3 km long Fabry–Perot cavity featuring parameters similar to the planned Advanced Virgo instrument, we found that the forward-reflecting grating port offers the highest SNR at low frequencies. Furthermore, for this example suspension requirements for lateral isolation were computed, and a factor of 20 relaxation at a frequency of 10 Hz can be gained over the transmitted port by observing the forward-reflected port.

Item Type:Articles
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Barr, Dr Bryan and Hild, Professor Stefan and Strain, Professor Kenneth
Authors: Hallam, J., Chelkowski, S., Freise, A., Hild, S., Barr, B., Strain, K., Burmeister, O., and Schnabel, R.
College/School:College of Science and Engineering > School of Physics and Astronomy
Journal Name:Journal of Optics A: Pure and Applied Optics
Publisher:Institute of Physics Publishing Ltd.
ISSN:1464-4258
ISSN (Online):1741-3567

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
459312Investigations in Gravitational Radiation.Sheila RowanScience & Technologies Facilities Council (STFC)ST/I001085/1Physics and Astronomy