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Optics Letters

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  • Vol. 20, Iss. 20 — Oct. 15, 1995
  • pp: 2042–2044

Snake beam: a paraxial arbitrary focal line

Joseph Rosen and Amnon Yariv  »View Author Affiliations


Optics Letters, Vol. 20, Issue 20, pp. 2042-2044 (1995)
http://dx.doi.org/10.1364/OL.20.002042


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Abstract

The creation of paraxial arbitrary focal lines by a Fourier computer-generated hologram is demonstrated. The desired focal line is represented by a series of connected straight line segments, each of which is implemented by a radial harmonic function located on a different radial portion of the entire hologram. Each subhologram is multiplied by appropriate linear and quadratic phase functions and is shifted by some distance from the center. The two phase factors determine the location of each line segment, while the in-plane shift determines the tilt angle of the segment.

© 1995 Optical Society of America

History
Original Manuscript: June 14, 1995
Published: October 15, 1995

Citation
Joseph Rosen and Amnon Yariv, "Snake beam: a paraxial arbitrary focal line," Opt. Lett. 20, 2042-2044 (1995)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-20-20-2042


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References

  1. J. Rosen, B. Salik, A. Yariv, J. Opt. Soc. Am. A 12, 2446 (1995). [CrossRef]
  2. J. Durnin, J. J. Miceli, J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987). [CrossRef] [PubMed]
  3. J. Ojeda-Castaneda, L. R. Berriel Valdos, Opt. Lett. 13, 183 (1988). [CrossRef] [PubMed]
  4. J. Rosen, A. Yariv, Opt. Lett. 19, 843 (1994); R. Piestun, J. Shamir, Opt. Lett. 19, 771 (1994). [CrossRef] [PubMed]
  5. L. B. Lesem, P. M. Hirsch, J. A. Jordan, IBM J. Res. Dev. 13, 150 (1969); T. J. Suleski, D. C. O’Shea, “Gray-scale masks for diffractive-optics fabrication. I. Commercial slide imagers,” Appl. Opt. (to be published). [CrossRef]
  6. C. Frère, O. Bryngdahl, Opt. Commun. 60, 369 (1986). [CrossRef]

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