OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A


  • Vol. 16, Iss. 5 — May. 1, 1999
  • pp: 1175–1183

Imaging properties of planar-integrated micro-optics

Markus Testorf and Jürgen Jahns  »View Author Affiliations

JOSA A, Vol. 16, Issue 5, pp. 1175-1183 (1999)

View Full Text Article

Enhanced HTML    Acrobat PDF (471 KB)

Browse Journals / Lookup Meetings

Browse by Journal and Year


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools



The properties of planar-integrated imaging systems are studied on the basis of algebraic ray tracing. A third-order approximation yields analytical expressions for ray aberrations in the image plane. Ray aberrations are compared with the diffraction-limited spot size to estimate optimum system performance from the minimum of the second moment of the point-spread function. We use as a figure of merit the space–bandwidth product of the planar imaging setups. The investigation is restricted to imaging systems consisting of three optical elements.

© 1999 Optical Society of America

OCIS Codes
(080.1010) Geometric optics : Aberrations (global)
(110.0110) Imaging systems : Imaging systems
(350.3950) Other areas of optics : Micro-optics

Original Manuscript: July 13, 1998
Revised Manuscript: October 23, 1998
Manuscript Accepted: November 2, 1998
Published: May 1, 1999

Markus Testorf and Jürgen Jahns, "Imaging properties of planar-integrated micro-optics," J. Opt. Soc. Am. A 16, 1175-1183 (1999)

Sort:  Author  |  Year  |  Journal  |  Reset  


  1. J. Jahns, A. Huang, “Planar integration of free-space optical components,” Appl. Opt. 28, 1602–1605 (1989). [CrossRef] [PubMed]
  2. J. Jahns, “Integrated optical imaging system,” Appl. Opt. 29, 1998 (1990). [CrossRef] [PubMed]
  3. J. Jahns, S. J. Walker, “Imaging with planar optical systems,” Opt. Commun. 76, 313–317 (1990). [CrossRef]
  4. M. Testorf, J. Jahns, “Paraxial theory of planar integrated systems,” J. Opt. Soc. Am. A 14, 1569–1575 (1997). [CrossRef]
  5. R. Barakat, A. Houston, “The aberrations of non-rotationally symmetric systems and their diffraction effects,” Opt. Acta 13, 1–30 (1966). [CrossRef]
  6. M. Testorf, J. Jahns, “Imaging in planar optics: system design with respect to the angle of light propagation,” in Diffractive Optics and Micro-Optics, Vol. 5 of 1996 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1996), pp. 364–367.
  7. Ch. Gimkiewicz, D. Hagedorn, J. Jahns, E. B. Kley, F. Thoma, “Fabrication of microprisms for planar-optical interconnections using analog gray-scale lithography with high-energy beam-sensitive glass,” in Diffractive Optics and Micro-Optics, Vol. 10 of 1998 OSA Technical Digest Series (Optical Society of America, Washington, D.C., 1998), pp. 175–176.
  8. W. Eckert, K.-H. Brenner, C. Passon, “Planar integration of free-space micro-optical systems with refractive elements,” presented at the International Conference on Optical Computing, Edinburgh, August 22–25, 1994.
  9. A. Walter, “Eikonal theory and computer algebra,” J. Opt. Soc. Am. A 13, 523–531 (1996). [CrossRef]
  10. C. W. Harris, “Optical design by a matrix method,” J. Opt. Soc. Am. 40, 819–822 (1950). [CrossRef]
  11. J. A. Davis, R. A. Lilly, “Ray-matrix approach for diffractive optics,” Appl. Opt. 32, 155–158 (1992). [CrossRef]
  12. W. T. Welford, “Aberration theory of gratings and grating mountings,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1965), Vol. 4, pp. 243–280.
  13. G. Schulz, “Primary aberration-free imaging by three refracting surfaces,” J. Opt. Soc. Am. 70, 1149–1152 (1980). [CrossRef]
  14. A. Offner, “New concepts in projection mask aligners,” Opt. Eng. 14, 130–132 (1975). [CrossRef]
  15. W. G. Fastie, “A small plane grating monochromator,” J. Opt. Soc. Am. 42, 641–647 (1952). [CrossRef]
  16. N. Bareket, “Second moment of the diffraction point spread function as an image quality criterion,” J. Opt. Soc. Am. 69, 1311–1312 (1979). [CrossRef]
  17. E. H. Linfoot, “Contrast transmission function at low spatial frequencies,” Opt. Acta 6, 387–403 (1959). [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