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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 22 — Aug. 1, 2002
  • pp: 4611–4619

High Tolerance to Spherical Aberrations and Defects of Focus with a Birefringent Lens

Sucharita Sanyal and Ajay Ghosh  »View Author Affiliations


Applied Optics, Vol. 41, Issue 22, pp. 4611-4619 (2002)
http://dx.doi.org/10.1364/AO.41.004611


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Abstract

We report a systematic investigation of the imaging behavior of an optical system consisting of a lens from a uniaxial birefringent crystal sandwiched between two linear polarizers into which primary spherical aberration has been introduced. The proposed system has higher tolerance to primary spherical aberration and has a larger depth of focus than an imaging system found with an isotropic lens. Some specific cases are computed and illustrated graphically.

© 2002 Optical Society of America

OCIS Codes
(110.0110) Imaging systems : Imaging systems
(220.0220) Optical design and fabrication : Optical design and fabrication
(260.1440) Physical optics : Birefringence
(260.5430) Physical optics : Polarization

Citation
Sucharita Sanyal and Ajay Ghosh, "High Tolerance to Spherical Aberrations and Defects of Focus with a Birefringent Lens," Appl. Opt. 41, 4611-4619 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-22-4611


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References

  1. J. Tsujiuchi, “A density filter improving aberrant optical image,” J. Phys. Soc. Jpn. 12, 744–752 (1957).
  2. T. Asakura and R. Barakat, “Annular and annulus apertures with spherical aberration and defocusing,” Oyo Butsuri 30, 728–735 (1961).
  3. T. Asakura, “Axial intensity distribution for an annular aperture with primary spherical aberration,” Oyo Butsuri 31, 243–244 (1962).
  4. T. Asakura and H. Mishina, “Irradiance distribution in the diffraction patterns of an annual aperture with spherical aberration and coma,” Jpn. J. Appl. Phys. 7, 751–758 (1968).
  5. T. Asakura and H. Mishina, “Three dimensional distribution in the diffraction patterns of annular apertures with primary spherical aberration,” Oyo Butsuri 37, 805–809 (1968).
  6. 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).
  7. S. C. Biswas and A. Boivin, “Influence of primary astigmatism on the performance of optimum apodizers,” J. Opt. (Paris) 4, 1–5 (1975).
  8. S. C. Biswas and A. Boivin, “Influence of spherical aberration on the performance of optimum apodizers,” Opt. Acta 23, 569–588 (1976).
  9. S. C. Biswas and A. Boivin, “Performance of optimum apodizers in the presence of primary coma,” Can. J. Phys. 57, 1388–1396 (1979).
  10. M. J. Yzuel and F. Calvo, “A study of the possibility of image optimization by apodization filters in optical systems with residual aberrations,” Opt. Acta 26, 1397–1406 (1979).
  11. M. J. Yzuel and F. Calvo, “Point-spread function calculation for optical systems with residual aberrations and a non-uniform transmission pupil,” Opt. Acta 30, 233–242 (1983).
  12. J. Ojeda-Castaneda, P. Andres, and A. Diaz, “Annular apodizers for low sensitivity to defocus and to spherical aberration,” Opt. Lett. 11, 487–489 (1986).
  13. J. Ojeda-Castaneda, L. R. Berriel-Valdos, and E. Montes, “Line-spread function relatively insensitive to defocus,” Opt. Lett. 8, 458–460 (1983).
  14. J. Ojeda-Castaneda, L. R. Berriel-Valdos, and E. Montes, “Spatial filter for increasing the depth of focus,” Opt. Lett. 10, 520–522 (1985).
  15. J. Ojeda-Castaneda, L. R. Berriel-Valdos, and E. Montes, “Bessel annular apodizers: imaging characteristics,” Appl. Opt. 26, 2770–2772 (1987).
  16. J. Ojeda-Castaneda and L. R. Berriel-Valdos, “Arbitrarily high focal depth with finite apertures,” Opt. Lett. 13, 183–185 (1988).
  17. J. Ojeda-Castaneda and A. Diaz, “High focal depth by quasibifocus,” Appl. Opt. 27, 4163–4165 (1988).
  18. J. Ojeda-Castaneda, L. R. Berriel-Valdos, and E. Montes, “Ambiguity function as a design tool for high focal depth,” Appl. Opt. 27, 790–795 (1988).
  19. J. Ojeda-Castaneda, E. Tepichin, and A. Pons, “Apodization of annual apertures: Strehl ratio,” Appl. Opt. 27, 5140–5145 (1988).
  20. J. Ojeda-Castaneda and C. M. Gomez-Sarabia, “Focal depth: optimum annular apodizer,” Appl. Opt. 28, 4263–4264 (1989).
  21. J. Ojeda-Castaneda, E. Tepichin, and A. Diaz, “Arbitrarily high focal depth with a quasioptimum real and positive transmittance apodizer,” Appl. Opt. 28, 2666–2670 (1989).
  22. J. Ojeda-Castaneda and L. R. Berriel-Valdos, “Zone plate for arbitrarily high focal depth,” Appl. Opt. 29, 994–997 (1990).
  23. J. Tsujiuchi, “Correction of optical images by compensation of aberrations and by spatial frequency filtering,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1963), Vol. II, pp. 131–180.
  24. P. Jacquinot and B. Roizen-Dossier, “Apodization,” in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1964), Vol. III, pp. 29–186.
  25. A. K. Chakraborty, S. Das, D. K. Basu, and A. Ghosh, “Imaging characteristics of a birefringent lens,” in Polarization Considerations for Optical Systems II, R. A. Chipman, ed., Proc. SPIE 1166, 130–134 (1990).
  26. S. Sanyal, P. Bandyopadhyay, and A. Ghosh, “Vector wave imagery using a birefringent lens,” Opt. Eng. 37, 592–599 (1998).
  27. S. Sanyal and A. Ghosh, “Simulation of complex masks on the lens aperture using a birefringent lens,” Opt. Optoelectron. 1, 656–661 (1998).
  28. S. Sanyal and A. Ghosh, “Imaging characteristics of birefringent lenses under focused and defocused conditions,” Optik 110, 513–520 (1999).
  29. S. Sanyal and A. Ghosh, “High focal depth with a quasi-bifocus birefringent lens,” Appl. Opt. 39, 2321–2325 (2000).
  30. S. Sanyal and A. Ghosh, “Imaging behaviour of a birefringent lens suffering from primary coma,” J. Opt. (India) 29, 15–24 (2000).
  31. S. Sanyal and A. Ghosh, “Frequency response characteristics of a birefringent lens,” Opt. Eng. (to be published).
  32. M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, Oxford, 1985).
  33. H. H. Hopkins, Wave Theory of Aberrations (Clarendon, Oxford, 1950).
  34. V. N. Mahajan, Aberration Theory Made Simple (SPIE Optical Eng. Press, Bellingham, Wash. 1991).
  35. H. H. Hopkins, “The frequency response of a defocused optical system,” Proc. R. Soc. London Ser. A231, 91–103 (1955).
  36. M. Abramowitz and I. A. Stegun, Handbook of Mathematical Functions (Dover, New York, 1972).
  37. R. Barakat and A. Houston, “Reciprocity relations between the transfer function and total illuminance,” J. Opt. Soc. Am. 53, 1244–1249 (1963).
  38. A. Papoulis, Systems and Transforms with Applications in Optics (McGraw-Hill, New York, 1968).

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