OSA's Digital Library

Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 32 — Nov. 11, 2002
  • pp: 6841–6848

Calculation of the average lenslet shape and aberrations of microlens arrays from their far-field intensity distribution

Alexander Büttner and Uwe D. Zeitner  »View Author Affiliations


Applied Optics, Vol. 41, Issue 32, pp. 6841-6848 (2002)
http://dx.doi.org/10.1364/AO.41.006841


View Full Text Article

Enhanced HTML    Acrobat PDF (251 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

We present a method to obtain the average lenslet shape of microlens arrays and especially their aberrations from the far-field intensity distribution of the whole array. The method is based on the phase-retrieval algorithm introduced by Gerchberg and Saxton [Optik (Stuttgart) 35, 237 (1972)]. We show how to overcome the crucial point of this algorithm, that is finding suitable start parameters to end up with correct results. The procedure is successfully applied to a cylindrical microlens array produced by reflow technique and the result is compared with surface profilometric measurements. The technique is applicable for lenslets having small numerical apertures and fill factors near unity.

© 2002 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(100.5070) Image processing : Phase retrieval
(120.0120) Instrumentation, measurement, and metrology : Instrumentation, measurement, and metrology
(120.4630) Instrumentation, measurement, and metrology : Optical inspection

History
Original Manuscript: April 11, 2002
Revised Manuscript: August 2, 2002
Published: November 10, 2002

Citation
Alexander Büttner and Uwe D. Zeitner, "Calculation of the average lenslet shape and aberrations of microlens arrays from their far-field intensity distribution," Appl. Opt. 41, 6841-6848 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-32-6841


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. N. Streibl, U. Nölscher, J. Jahns, S. Walker, “Array generation with lenslet arrays,” Appl. Opt. 30, 2739–2742 (1991). [CrossRef] [PubMed]
  2. H. Herzig, Micro-Optics (Taylor & Francis, London, 1997).
  3. S. Sinzinger, J. Jahns, Microoptics (Wiley, New York, 1999).
  4. C. Kopp, L. Ravel, P. Meyrueis, “Efficient beamshaper homogenizer design combining diffractive optical elements, microlens array, and random phase plate,” J. Opt. A: Pure Appl. Opt. 1, 398–403 (1999). [CrossRef]
  5. P. Nussbaum, R. Völkel, H. Herzig, M. Eisner, S. Haselbeck, “Design, fabrication, and testing of micro-optical components for sensors and microsystems,” in Micro-Optical Technologies for Measurement, Sensors and Microsystems II and Optical Fiber Sensor Technologies and Applications, O. M. Parriaux, B. Culshaw, M. Breidne, E.-B. Kiley, eds., Proc. SPIE3099, 196–211 (1997).
  6. A. Büttner, U. D. Zeitner, “Wave optical analysis of light-emitting diode beam shaping using microlens arrays,” Opt. Eng. (to be published).
  7. D. Malacara, Optical Shop Testing (Wiley, New York, 1991).
  8. L. G. Hale, E. M. Motamedi, W. J. Gunning, “Optical testing and characterization of microlens arrays,” in Miniature and Micro-Optics: Fabrication and System Applications II, C. S. Roychoudhuri, W. B. Veldkamp, eds., Proc. SPIE1751, 47–51 (1993).
  9. J. Schwider, H. Sickinger, “Arraytests for microlenses,” Optik (Stuttgart) 107, 26–34 (1997).
  10. S. Glöckner, R. Göring, “Investigation of statistical variations between lenslets of microlens arrays,” Appl. Opt. 36, 4438–4445 (1997). [CrossRef] [PubMed]
  11. R. Gerchberg, W. Saxton, “A Practical Algorithm for the Determination of Phase from Image and Diffraction Plane Pictures,” Optik (Stuttgart) 35, 237–246 (1972).
  12. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  13. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).
  14. H. Aagedal, M. Schmid, T. Beth, S. Wyrowski, F. Wyrowski, “Theory of speckles in diffractive optics and its application to beam shaping,” J. Mod. Opt. 43, 1409–1421 (1996). [CrossRef]
  15. B. Kress, P. Meyrueis, Digital Diffractive Optics (Wiley, New York, 2000).
  16. A. V. Pfeil, F. Wyrowski, A. Drauschke, H. Aagedal, “Analysis of optical elements with the local plane-interface approximation,” Appl. Opt. 39, 3304–3313 (2000). [CrossRef]
  17. A. V. Pfeil, F. Wyrowski, “Wave-optical structure design with the local plane-interface approximation,” J. Mod. Opt. 47, 2335–2350 (2000).
  18. J. Turunen, F. Wyrowski, Diffractive Optics for Industrial and Commercial Applications (Akademie Verlag, Berlin, 1997).
  19. J. Fienup, “Reconstruction of a complex-valued object from the modulus of its Fourier transform using a support constraint,” J. Opt. Soc. Am. A 4, 118–123 (1987). [CrossRef]
  20. A. Walther, “The question of phase retrieval in optics,” Opt. Acta 10, 41–49 (1963). [CrossRef]
  21. J. R. Fienup, “Iterative method applied to image reconstruction and to computer-generated holograms,” Opt. Eng. 19, 297–305 (1980). [CrossRef]
  22. V. Arrizón, M. Testorf, S. Sinzinger, J. Jahns, “Iterative optimization of phase-only diffractive optical elements based on a lenslet array,” J. Opt. Soc. Am. A 17, 2157–2164 (2000). [CrossRef]
  23. Z. Popovic, R. Sprague, G. Connell, “Technique for monolithic fabrication of microlens arrays,” Appl. Opt. 27, 1281–1284 (1988). [CrossRef] [PubMed]
  24. F. Harris, “On the use of windows for harmonic analysis with the discrete Fourier transform,” Proc. IEEE 66, 51–83 (1978). [CrossRef]

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