OSA's Digital Library

Journal of the Optical Society of America A

Journal of the Optical Society of America A

| OPTICS, IMAGE SCIENCE, AND VISION

  • Editor: Stephen A. Burns
  • Vol. 24, Iss. 7 — Jul. 1, 2007
  • pp: 1911–1919

Fundamental diffraction limitations in a paraxial 4 - f imaging system with coherent and incoherent illumination

Damien P. Kelly, John T. Sheridan, and William T. Rhodes  »View Author Affiliations


JOSA A, Vol. 24, Issue 7, pp. 1911-1919 (2007)
http://dx.doi.org/10.1364/JOSAA.24.001911


View Full Text Article

Enhanced HTML    Acrobat PDF (536 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

In the usual model of an imaging system, only the effects of the aperture stop are considered in determining diffraction-limited system performance. In fact, diffraction at other stops—those associated with different lens elements, for example—can also affect system performance and cause the imaging to be space variant, even in the absence of vignetting in the conventional ray optics sense. For the 4 - f imaging system investigated in this paper, the severity of the space variance depends on the relative sizes of the two lens stops and the aperture stops. If the diameters of the lenses are equal, the aperture of the first lens has a greater effect on system performance than does that of the second.

© 2007 Optical Society of America

OCIS Codes
(070.0070) Fourier optics and signal processing : Fourier optics and signal processing
(070.6020) Fourier optics and signal processing : Continuous optical signal processing
(110.0110) Imaging systems : Imaging systems
(110.2990) Imaging systems : Image formation theory

ToC Category:
Imaging Systems

History
Original Manuscript: October 20, 2006
Revised Manuscript: February 12, 2007
Manuscript Accepted: February 14, 2007
Published: June 13, 2007

Citation
Damien P. Kelly, John T. Sheridan, and William T. Rhodes, "Fundamental diffraction limitations in a paraxial 4-f imaging system with coherent and incoherent illumination," J. Opt. Soc. Am. A 24, 1911-1919 (2007)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-24-7-1911


Sort:  Author  |  Year  |  Journal  |  Reset  

References

  1. E. L. O'Neill, Introduction to Statistical Optics (Addison-Wesley, 1962).
  2. R. N. Bracewell, The Fourier Transform and Its Applications, Int. ed. (McGraw-Hill, 1986).
  3. J. W. Goodman, Introduction to Fourier Optics, 3rd ed. (Roberts, 2005).
  4. E. Hecht, Optics, 2nd ed. (Addison-Wesley, 1989).
  5. W. T. Rhodes, Lecture Series: Fourier Optics and Holography (Imaging Technology Center, Florida Atlantic University, 2006).
  6. R. W. Dichtburn, Light (Dover, 1965).
  7. M. Gu, Advanced Optical Imaging Theory, 1st ed. (Springer-Verlag, 2000).
  8. T. Wilson and C. Sheppard, Theory and Practice of Scanning Optical Microscopy (Academic, 1984).
  9. J. T. Sheridan and C. J. R. Sheppard, "Modelling of images of square-wave gratings and isolated edges using rigorous diffraction theory," Opt. Commun. 105, 367-378 (1994). [CrossRef]
  10. D. P. Kelly, J. T. Sheridan, and W. T. Rhodes, "Finite-aperture effects for Fourier transform systems with convergent illumination. Part I: 2-D system analysis," Opt. Commun. 263, 171-179 (2006). [CrossRef]
  11. D. P. Kelly, J. T. Sheridan, and W. T. Rhodes, "Finite-aperture effects for Fourier transform systems with convergent illumination. Part II: 3-D system analysis," Opt. Commun. 263, 180-188 (2006). [CrossRef]
  12. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, 1970).
  13. I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, 1980).
  14. S. Wolf, The Mathematica Book, 4th ed. (Cambridge U. Press, 1999).
  15. G. W. Forbes, "Scaling properties in the diffraction of focused waves and an application to scanning beams," Am. J. Phys. 62, 434-443 (1994). [CrossRef]
  16. G. W. Forbes, "Validity of the Fresnel approximation in the diffraction of collimated beams," J. Opt. Soc. Am. A 13, 1816-1826 (1996). [CrossRef]
  17. D. P. Kelly, "Linear quadratic phase systems and their application to speckle photography based metrology systems," Ph.D. dissertation (National University College Dublin, Ireland, 2006).
  18. P. S. Considine, "Effects of coherence on imaging systems," J. Opt. Soc. Am. 20, 661-667 (1966).
  19. K. Dutton, S. Thompson, and B. Barraclough, The Art of Control Engineering (Addison-Wesley, 1997).
  20. D. P. Kelly, B. M. Hennelly, W. T. Rhodes, and J. T. Sheridan, "Analytical and numerical analysis of linear optical systems," Opt. Eng. 45, 088201 (2006). [CrossRef]
  21. E. L. Shirley, "Intuitive diffraction model for multistaged optical systems," Appl. Opt. 43, 735-743 (2004). [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