OSA's Digital Library

Optics Express

Optics Express

  • Editor: C. Martijn de Sterke
  • Vol. 20, Iss. 21 — Oct. 8, 2012
  • pp: 23275–23280

Two-quadrant area structure function analysis for optical surface characterization

Liangyu He, Chris J. Evans, and Angela Davies  »View Author Affiliations


Optics Express, Vol. 20, Issue 21, pp. 23275-23280 (2012)
http://dx.doi.org/10.1364/OE.20.023275


View Full Text Article

Enhanced HTML    Acrobat PDF (2646 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

This paper describes the use of the area structure function (SF) for the specification and characterization of optical surfaces. A two-quadrant area SF is introduced because the one-quadrant area SF does not completely describe surfaces with certain asymmetries. Area SF calculations of simulation data and of a diamond turned surface are shown and compared to area power spectral density (PSD) and area autocorrelation function (ACF) representations. The direct relationship between SF, PSD, and ACF for a stationary surface does not apply to non-stationary surfaces typical of optics with figure errors.

© 2012 OSA

OCIS Codes
(120.3940) Instrumentation, measurement, and metrology : Metrology
(120.6650) Instrumentation, measurement, and metrology : Surface measurements, figure
(120.6660) Instrumentation, measurement, and metrology : Surface measurements, roughness

ToC Category:
Instrumentation, Measurement, and Metrology

History
Original Manuscript: June 26, 2012
Revised Manuscript: September 4, 2012
Manuscript Accepted: September 19, 2012
Published: September 25, 2012

Citation
Liangyu He, Chris J. Evans, and Angela Davies, "Two-quadrant area structure function analysis for optical surface characterization," Opt. Express 20, 23275-23280 (2012)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-20-21-23275


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. D. M. Aikens, C. R. Wolfe, and J. K. Lawson, “The use of power spectral density (PSD) functions in specifying optics for the national ignition facility,” Proc. SPIE2576, 281–292 (1995). [CrossRef]
  2. J. K. Lawson, C. R. Wolfe, K. R. Manes, J. B. Trenholme, D. M. Aikens, and R. E. English, “Specification of optical components using the power spectral density function,” Proc. SPIE2536, 38–50 (1995). [CrossRef]
  3. J. M. Tamkin and T. D. Milster, “Effects of structured mid-spatial frequency surface errors on image performance,” Appl. Opt.49(33), 6522–6536 (2010). [CrossRef] [PubMed]
  4. R. N. Youngworth, B. B. Gallagher, and B. L. Stamper, “An overview of power spectral density (PSD) calculations,” Proc. SPIE5869, 58690U, 58690U-11 (2005). [CrossRef]
  5. V. I. Tatarski, Wave Propagation in a Turbulent Medium (McGraw-Hill, 1961).
  6. D. L. Fried, “Statistics of a geometric representation of wavefront distortion,” J. Opt. Soc. Am.55(11), 1427–1435 (1965). [CrossRef]
  7. R. E. Parks, “Specifications: figure and finish are not enough,” Proc. SPIE7071, 70710B, 70710B-9 (2008). [CrossRef]
  8. A. M. Hvisc and J. H. Burge, “Structure function analysis of mirror fabrication and support errors,” Proc. SPIE6671, 66710A, 66710A-10 (2007). [CrossRef]
  9. D. J. Whitehouse, The Properties of Random Surfaces of Significance in their Contact (University of Leicester, 1971).
  10. R. S. Sayles and T. R. Thomas, “The spatial representation of surface roughness by means of the structure function: a practical alternative to correlation,” Wear42(2), 263–276 (1977). [CrossRef]
  11. D. J. Whitehouse, “Some theoretical aspects of structure functions, fractal parameters and related subjects,” Proc.- Inst. Mech. Eng.215(2), 207–210 (2001). [CrossRef]
  12. T. R. Thomas and B. G. Rose’n, “Determination of the optimum sampling interval for rough contact mechanics,” Tribol. Int.33(9), 601–610 (2000). [CrossRef]
  13. T. R. Thomas, B. G. Rose’n, and N. Amini, “Fractal characterisation of the anisotropy of rough surfaces,” Wear232(1), 41–50 (1999). [CrossRef]
  14. T. R. Thomas and B. G. Rose’n, “Surfaces generated by abrasive finishing processes as self-affine fractals,” Int. J. Surf. Sci. Eng.3(4), 275–285 (2009). [CrossRef]
  15. E. L. Church and P. Z. Takacs, “Surface scattering,” in Handbook of Optics. vol. I, M. Bass, ed. (McGraw-Hill, New York, 2009).
  16. E. L. Church and P. Z. Takacs, “Specification of surface figure and finish in terms of system performance,” Appl. Opt.32(19), 3344–3353 (1993). [CrossRef] [PubMed]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.


« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited