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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 41, Iss. 23 — Aug. 10, 2002
  • pp: 4897–4903

Efficient computation of optical disk readout by use of the chirp z transform

Jan L. Bakx  »View Author Affiliations


Applied Optics, Vol. 41, Issue 23, pp. 4897-4903 (2002)
http://dx.doi.org/10.1364/AO.41.004897


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Abstract

Computation of the readout signal of an optical disk involves Fourier transforms from the objective lens pupil to the disk and, after interaction with the disk, from the disk to the objective pupil. Traditionally, the complex two-dimensional Fourier transform is numerically evaluated as a two-dimensional fast Fourier transform. To obtain sufficient resolution in the involved planes, one must choose sampling grid sizes of typically 1024 × 1024 or higher, resulting in a substantial computation time if the calculation is to be repeated many times. Discussed is an alternative method for evaluating the Fourier transform, based on the chirp z transform, by which a considerable improvement in efficiency can be obtained without loss of accuracy.

© 2002 Optical Society of America

OCIS Codes
(070.2590) Fourier optics and signal processing : ABCD transforms
(210.4590) Optical data storage : Optical disks
(210.4770) Optical data storage : Optical recording

History
Original Manuscript: January 28, 2002
Revised Manuscript: April 15, 2002
Published: August 10, 2002

Citation
Jan L. Bakx, "Efficient computation of optical disk readout by use of the chirp z transform," Appl. Opt. 41, 4897-4903 (2002)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-41-23-4897


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References

  1. A. Korpel, “Simplified diffraction theory of the video disk,” Appl. Opt. 17, 2037–2042 (1978). [CrossRef] [PubMed]
  2. J. Pasman, “Vector theory of diffraction” in Principles of Optical Disc SystemsE. R. Pike, ed. (Adam Hilger, Bristol, UK, 1985), pp. 88–124.
  3. L. R. Rabiner, B. Gold, Theory and Application of Digital Signal Processing (Prentice Hall, Englewood Cliffs, N.J., 1975), pp. 393–399.
  4. A. V. Oppenheim, R. W. Schafer, Discrete-Time Signal Processing (Prentice Hall, Englewood Cliffs, N.J., 1989), pp. 452–457.
  5. H. H. Hopkins, “Diffraction theory of laser read-out systems for optical video discs,” J. Opt. Soc. Am. 69, 4–24 (1979). [CrossRef]

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