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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. 23, Iss. 12 — Dec. 1, 2006
  • pp: 3123–3132

Optical transfer functions for specific-shaped apertures generated by illumination with a rectangular light pipe

Chu-Ming Cheng and Jyh-Long Chern  »View Author Affiliations


JOSA A, Vol. 23, Issue 12, pp. 3123-3132 (2006)
http://dx.doi.org/10.1364/JOSAA.23.003123


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Abstract

We investigated the pupil functions of specific-shaped apertures generated by Lambertian illumination with a rectangular light pipe to derive the corresponding optical transfer functions (OTFs) in aberration-free and defocused optical systems. The semianalytical results indicate that the curves of the OTF of the optical system vary with the form of the shaped apertures that are generated by illumination with different geometric structures of light pipes and light sources. It was found that the OTF values of even-peak frequencies decrease when the Lambertian light source decreases. If there are a total of n × n individual apertures within a pupil, then n near-periodical peaks will appear on the OTF curve. It is evident that the values of the OTF remain almost unchanged even when the lengths of the light pipes are different. Furthermore, the geometric structure of the light pipe does not affect the resolution limit of the optical system, and under the condition of a larger defocused coefficient ω 20 , the results of the defocused system can coincide with those of the aberration-free systems.

© 2006 Optical Society of America

OCIS Codes
(080.2740) Geometric optics : Geometric optical design
(120.2040) Instrumentation, measurement, and metrology : Displays
(220.3620) Optical design and fabrication : Lens system design
(220.4830) Optical design and fabrication : Systems design
(230.6120) Optical devices : Spatial light modulators

History
Original Manuscript: April 7, 2006
Revised Manuscript: June 18, 2006
Manuscript Accepted: July 3, 2006

Citation
Chu-Ming Cheng and Jyh-Long Chern, "Optical transfer functions for specific-shaped apertures generated by illumination with a rectangular light pipe," J. Opt. Soc. Am. A 23, 3123-3132 (2006)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-23-12-3123


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References

  1. C. M. Chang and H. P. D. Shieh, "Design of illumination and projection optics for projectors with single digital micromirror device," Appl. Opt. 39, 3202-3208 (2000). [CrossRef]
  2. W. N. Partlo, P. J. Tompkins, P. G. Dewa, and P. F. Michaloski, "Depth of focus and resolution enhancement of i-line and deep-UV limography using annular illumination," in Optical/Laser Microlithography VI, J. D. Cathbert, ed., Proc. SPIE 1927, 137-157 (1993). [CrossRef]
  3. H. H. Hopkins, "Physics of the fiberoptics endoscope," in Endoscopy, G. Berci, ed. (Appleton-Century-Crofts, 1976), pp. 27-63.
  4. T. Hough, J. Van Derlofske, and L. Hillman, "Management of light in thick optical waveguides for illumination: an application of radiometric principles," SAE Tech. Paper Series 940512 (Society of Automotive Engineers, 1994).
  5. W. J. Smith, Modern Optical Engineering (McGraw-Hill, 2000), pp. 279-281.
  6. Y. K. Cheng and J. L. Chern, "Irradiance formation in hollow straight light pipes with square and circular shapes," J. Opt. Soc. Am. A 23, 427-434 (2006). [CrossRef]
  7. J. Ojeda-Castaneda, L. R. Berriel-Valdos, and E. L. Montes, "Bessel annular apodizers: imaging characteristics," Appl. Opt. 26, 2770-2772 (1987). [CrossRef] [PubMed]
  8. L. N. Hazra and A. Guha, "Far-field diffraction properties of radial Walsh filters," J. Opt. Soc. Am. A 3, 843-846 (1986). [CrossRef]
  9. E. M. Sabatke and J. H. Burge, "Basic principles in the optical design of imaging multiple aperture systems," in International Optical Design Conference 2002, P. K. Manhart and J. M. Sasian, eds., Proc. SPIE 4832, 236-248 (2002).
  10. R. Barakat, "Diffraction electromagnetic fields in the neighborhood of the focus of paraboloidal mirror having a central obscuration," Appl. Opt. 26, 3790-3795 (1987). [CrossRef] [PubMed]
  11. M. Mino and Y. Okano, "Improvement in the OTF of a defocused optical system through the use of shaded apertures," Appl. Opt. 10, 2219-2225 (1971). [CrossRef] [PubMed]
  12. C. S. Chung and H. H. Hopkins, "Influence of nonuniform amplitude on the optical transfer function," Appl. Opt. 28, 1244-1250 (1989). [CrossRef] [PubMed]
  13. H. H. Hopkins, "The frequency response of a defocused optical system," Proc. R. Soc. London, Ser. A 231, 143-153 (1955).
  14. W. Cassarly, "Nonimaging optics: concentration and illumination," in OSA Handbook of Optics, 2nd ed. (McGraw-Hill, 2001), Vol. III, pp. 2.1-2.53.
  15. M. S. Brennesholtz, "Light collection efficiency for light valve projection systems," in Projection Display II, M. H. Wu, ed., Proc. SPIE 2065, 71-79 (1996).
  16. E. H. Stupp and M. S. Brennesholtz, Projection Display (Wiley, 1999).
  17. E. Hecht, Optics (Addison-Wesley, 2002), pp. 543-544.
  18. MATHEMATICA version 4, Wolfram Research, Inc., 100 Trade Center Drive Champaign, Ill. 61820-7237.
  19. H. H. Hopkins and M. J. Yzuel, "The computation of diffraction patterns in the presence of aberrations," Opt. Acta 17, 157-182 (1970). [CrossRef]
  20. H. H. Hopkins, "Calculation of the aberration and image assessment for a general optical system," Opt. Acta 28, 667-714 (1981). [CrossRef]

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