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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

  • Vol. 12, Iss. 8 — Aug. 1, 1995
  • pp: 1702–1706

One-dimensional beam shaping

Boaz Salik, Joseph Rosen, and Ammon Yariv  »View Author Affiliations


JOSA A, Vol. 12, Issue 8, pp. 1702-1706 (1995)
http://dx.doi.org/10.1364/JOSAA.12.001702


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Abstract

A general method is presented of optimizing one-dimensional holograms to realize an arbitrary diffracted field distribution over the propagation volume. A computationally simpler approach is developed for the case in which only the transverse distribution in one plane and the longitudinal distribution on one axis are of interest. Scaling effects in the optimized beams are studied and compared with those of canonical beams.

© 1995 Optical Society of America

History
Original Manuscript: November 21, 1994
Revised Manuscript: February 21, 1995
Manuscript Accepted: February 22, 1995
Published: August 1, 1995

Citation
Boaz Salik, Joseph Rosen, and Ammon Yariv, "One-dimensional beam shaping," J. Opt. Soc. Am. A 12, 1702-1706 (1995)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-12-8-1702


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References

  1. W. H. Lee, in Progress in Optics, E. Wolf, ed. (North-Holland, Amsterdam, 1978), Vol. XVI, pp. 119–173. [CrossRef]
  2. J. Rosen, A. Yariv, “Synthesis of an arbitrary axial field profile by computer-generated holograms,” Opt. Lett. 19, 843–845 (1994). [CrossRef] [PubMed]
  3. M. D. Levenson, “Phase-shifting mask strategies: isolated bright contacts,” Microlithography World (September–October 1992).
  4. E. B. Treacy, “Optical pulse compression with diffraction gratings,” IEEE J. Quantum Electron. QE-5, 454–458 (1969). [CrossRef]
  5. J. Rosen, B. Salik, A. Yariv, H. K. Liu, “Pseudo non-diffracting slitlike beam and its analogy to the pseudo nondispersing pulse,” Opt. Lett. 20, 423–425 (1995). [CrossRef] [PubMed]
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968), pp. 59–61.
  7. R. Piestun, B. Spector, J. Shamir, “Control of wavefront propagation with diffractive elements,” Opt. Lett. 19, 771–773 (1994). [CrossRef] [PubMed]
  8. C. W. McCutchen, “Generalized aperture and the three-dimensional diffraction image,” J. Opt. Soc. Am. 54, 240–244 (1964). [CrossRef]
  9. L. R. Foulds, Optimization Techniques (Springer-Verlag, New York, 1981), pp. 329–335.
  10. A. Yariv, Optical Electronics (Saunders, Philadelphia, 1991), pp. 48–49.

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