Paper
1 October 1990 Spacial PSDs of optical structures due to random vibration
Simon Chia-Fu Sheng
Author Affiliations +
Abstract
For very sensitive applications, it may be necessary to adjust the spatial power spectral density (PSD), obtained by measuring any line figure on an optical surface, to eliminate the effect due to ground vibration. This is possible only if we know how to relate the standard random vibration output-numerous pointwise temporal PSDs-to spatial PSDs measured by interferometers. This paper serves as such a link. Two methods are presented here. The first uses direct integration starting from the mathematical definition of the spatial PSD of a function. The second borrows the relationship between two-dimensional spatial PSD and temporal PSD from atmospheric disturbance. As expected, both methods give nearly identical results.
© (1990) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Simon Chia-Fu Sheng "Spacial PSDs of optical structures due to random vibration", Proc. SPIE 1303, Advances in Optical Structure Systems, (1 October 1990); https://doi.org/10.1117/12.21499
Advertisement
Advertisement
RIGHTS & PERMISSIONS
Get copyright permission  Get copyright permission on Copyright Marketplace
KEYWORDS
Mirrors

Metrology

Interferometers

Vibrometry

Integration

Phase measurement

Astrophysics

RELATED CONTENT

Axial shift mapping metrology for x-ray telescope mirrors
Proceedings of SPIE (August 31 2022)
JWST center of curvature test method and results
Proceedings of SPIE (September 05 2017)
Interferometric Testing At Perkin-Elmer
Proceedings of SPIE (March 23 1987)
X ray mirrors for high brilliance synchrotron beamlines R...
Proceedings of SPIE (January 20 1993)
Mirror metrology and bender characterization at ESRF
Proceedings of SPIE (September 16 2005)

Back to Top