Interferometric characterization and modeling of pathlength errors resulting from beamwalk across mirror surfaces in LISA

Harald Kögel; Domenico Gerardi; Joep Pijnenburg; Martin Gohlke; Thilo Schuldt; Ulrich Johann; Claus Braxmaier; Dennis Weise

doi:10.1364/AO.52.003516

Interferometric characterization and modeling of pathlength errors resulting from beamwalk across mirror surfaces in LISA

Harald Kögel, Domenico Gerardi, Joep Pijnenburg, Martin Gohlke, Thilo Schuldt, Ulrich Johann, Claus Braxmaier, and Dennis Weise

Applied Optics
Vol. 52,
Issue 15,
pp. 3516-3525
(2013)
•https://doi.org/10.1364/AO.52.003516

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Harald Kögel, Domenico Gerardi, Joep Pijnenburg, Martin Gohlke, Thilo Schuldt, Ulrich Johann, Claus Braxmaier, and Dennis Weise, "Interferometric characterization and modeling of pathlength errors resulting from beamwalk across mirror surfaces in LISA," Appl. Opt. 52, 3516-3525 (2013)

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Related Topics
Table of Contents Category
- Instrumentation, Measurement, and Metrology
Optics & Photonics Topics
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The topics in this list come from the OSA Optics and Photonics Topics applied to this article.
Previously assigned OCIS codes
- Roughness (240.5770)
- Surfaces (240.6700)

About this Article
History
- Original Manuscript: January 17, 2013
- Revised Manuscript: April 16, 2013
- Manuscript Accepted: April 17, 2013
- Published: May 15, 2013

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Abstract

An alternative payload concept with in-field pointing for the laser interferometer space antenna utilizes an actuated mirror in the telescope for beam tracking to the distant satellite. This actuation generates optical pathlength variations due to the resulting beamwalk over the surface of subsequent optical components, which could possibly have a detrimental influence on the accuracy of the measurement instrument. We have experimentally characterized such pathlength errors caused by a $λ / 10$ mirror surface and used the results to validate a theoretical model. This model is then applied to predict the impact of this effect for the current optical design of the LISA off-axis wide-field telescope.

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Mirror	F1	M3	F2
Assumed surface-figure	$λ / 10$	$λ / 10$	$λ / 10$
Beam diameter $d$	10 mm	40 mm	40 mm
Beamwalk distance	56 mm	85 mm	31 mm
Beamwalk velocity $v$	$14.6 nm / s$	$22.1 nm / s$	$8.1 nm / s$

Mirror	F1	M3	F2
Assumed surface-figure	$λ / 10$	$λ / 10$	$λ / 10$
Beam-diameter $d$	10 mm	40 mm	40 mm
Coupling factor $c$	$7.18 \cdot 10^{- 7}$	$3.59 \cdot 10^{- 7}$	$3.59 \cdot 10^{- 7}$

Mirror	F1	M3	F2
Assumed surface-figure	$λ / 10$	$λ / 10$	$λ / 10$
Beam diameter $d$	10 mm	40 mm	40 mm
Beamwalk distance	56 mm	85 mm	31 mm
Beamwalk velocity $v$	$14.6 nm / s$	$22.1 nm / s$	$8.1 nm / s$

Mirror	F1	M3	F2
Assumed surface-figure	$λ / 10$	$λ / 10$	$λ / 10$
Beam-diameter $d$	10 mm	40 mm	40 mm
Coupling factor $c$	$7.18 \cdot 10^{- 7}$	$3.59 \cdot 10^{- 7}$	$3.59 \cdot 10^{- 7}$

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