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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. 17, Iss. 1 — Jan. 1, 2000
  • pp: 63–67

Diffractive variable beam splitter: optimal design

Riccardo Borghi, Gabriella Cincotti, and Massimo Santarsiero  »View Author Affiliations


JOSA A, Vol. 17, Issue 1, pp. 63-67 (2000)
http://dx.doi.org/10.1364/JOSAA.17.000063


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Abstract

The analytical expression of the phase profile of the optimum diffractive beam splitter with an arbitrary power ratio between the two output beams is derived. The phase function is obtained by an analytical optimization procedure such that the diffraction efficiency of the resulting optical element is the highest for an actual device. Comparisons are presented with the efficiency of a diffractive beam splitter specified by a sawtooth phase function and with the pertinent theoretical upper bound for this type of element.

© 2000 Optical Society of America

OCIS Codes
(050.1950) Diffraction and gratings : Diffraction gratings
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(230.1360) Optical devices : Beam splitters

History
Original Manuscript: May 17, 1999
Revised Manuscript: August 16, 1999
Manuscript Accepted: July 8, 1999
Published: January 1, 2000

Citation
Riccardo Borghi, Gabriella Cincotti, and Massimo Santarsiero, "Diffractive variable beam splitter: optimal design," J. Opt. Soc. Am. A 17, 63-67 (2000)
http://www.opticsinfobase.org/josaa/abstract.cfm?URI=josaa-17-1-63


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References

  1. See, for example, H. P. Herzig, ed., Micro-Optics: Elements, Systems, and Applications (Taylor & Francis, London, 1997).
  2. F. Wyrowski, “Upper bound of the diffraction efficiency of diffractive phase elements,” Opt. Lett. 16, 1915–1917 (1991). [CrossRef] [PubMed]
  3. F. Wyrowski, “Design theory of diffractive elements in the paraxial domain,” J. Opt. Soc. Am. A 10, 1553–1561 (1993). [CrossRef]
  4. U. Krackhardt, J. N. Mait, N. Streibl, “Upper bound on the diffraction efficiency of phase-only fanout element,” Appl. Opt. 31, 27–37 (1992). [CrossRef] [PubMed]
  5. See, for example, the contribution by J. Turunen in Ref. 1, p. 31 and references therein.
  6. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, New York, 1968).
  7. M. Abramowitz, I. Stegun, eds., Handbook of Mathematical Functions (Dover, New York, 1972).
  8. F. Gori, “Diffractive optics: an introduction,” in Diffractive Optics and Optical Microsystems, S. Martellucci, A. N. Chester, eds. (Plenum, New York, 1997), pp. 3–22.
  9. See Ref. 1, p. 15.
  10. F. Gori, M. Santarsiero, S. Vicalvi, R. Borghi, G. Cincotti, E. Di Fabrizio, M. Gentili, “Analytical derivation of the optimum triplicator,” Opt. Commun. 157, 13–16 (1998). [CrossRef]
  11. A. P. Prudnikov, Yu. A. Brychkov, O. I. Marichev, Integrals and Series, V. 1 (Gordon & Breach, New York, 1992).

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