Diffractive efficiency improvement of diffractive cylinder lenses by Gaussian-beam illumination.

doi:10.1364/OE.1.000234

Optics Express

Editor: J. H. Eberly
Vol. 1, Iss. 8 — Oct. 13, 1997
pp: 234–239

Diffractive efficiency improvement of diffractive cylinder lenses by Gaussian-beam illumination.

Felix Fuerer, Martin Schmidt, and Olof Bryngdahl »View Author Affiliations

Optics Express, Vol. 1, Issue 8, pp. 234-239 (1997)
http://dx.doi.org/10.1364/OE.1.000234

View Full Text Article

Enhanced HTML Acrobat PDF (126 KB)

Journal Search
Article Lookup

Article Tools

Share

Citations

Alert me when this article is cited
Export Citation/Save

Abstract
Article Info
References (9)
Cited By
Figures (6)
Metrics
Related Content

Abstract

To maximize the diffraction efficiency of cylinder lenses with high numerical apertures (such as F/0.5 lenses) we use an iterative algorithm to determine the optimum field distribution in the lens plane. The algorithm simulates the free-space propagation between the lens and the focal plane applying the angular spectrum of plane waves. We show that the optimum field distribution in the lens plane is the phase distribution of a converging cylindrical wave-front and an amplitude distribution with Gaussian-profile. The computed results are verified by rigorous calculations, simulating a F/0.5 lens with subwavelength structures.

[Optical Society of America ]

OCIS Codes
(050.1220) Diffraction and gratings : Apertures
(230.3990) Optical devices : Micro-optical devices

ToC Category:
Research Papers

History
Original Manuscript: August 27, 1997
Revised Manuscript: July 24, 1997
Published: October 13, 1997

Citation
Felix Fuerer, Martin Schmidt, and Olof Bryngdahl, "Diffractive efficiency improvement of diffractive cylinder lenses by Gaussian-beam illumination.," Opt. Express 1, 234-239 (1997)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-1-8-234

Sort: Journal | Reset

References

E. Noponen, J. Turunen and A. Vasara, Electromagnetic theory and design of diffractive-lens arrays, J. Opt. Soc. Am. A 10,434-443(1993) [CrossRef]
K. Hirayama, E. N. Glytsis and T. K. Gaylord, Riogorous electromagnetic analysis of diffractive cylinder lenses, J. Opt. Soc. Am. A 13, 2219-2231(1996) [CrossRef]
M. Schmitz and O. Bryngdahl, Rigorous concept for the design of diffractive microlenses with high numerical apertures, J. Opt. Soc. Am. A 14, 901-906(1997) [CrossRef]
J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, 1968)
C. B. Burckhardt, Diffraction of a plane wave at a sinusoidally stratified dielectric grating, J. Opt. Soc. Am. 56, 1502-157(1966) [CrossRef]
F. G. Kaspar, Diffraction by thick, periodically stratified gratings with complex dielectric constant, J. Opt. Soc. Am. 63, 37-45(1973) [CrossRef]
K. Knop, Rigorous diffraction theory ofor transmissionphase gratings with deep rectangular grooves, J. Opt. Soc. Am. 68, 1206-1210(1978) [CrossRef]
M. Schmitz, R. Bruer and O. Bryngdahl, Comment on numerical stability of rigorous differential methods of diffraction, Opt. Commun. 124, 1-8(1996) [CrossRef]
Lifeng Li, Use of Fourier series in the analysis of discontinuous periodic structures, J. Opt. Soc. Am. A 13, 1870-1876(1996) [CrossRef]

Other

E. Noponen, J. Turunen and A. Vasara, Electromagnetic theory and design of diffractive-lens arrays, J. Opt. Soc. Am. A 10,434-443(1993) [CrossRef]
K. Hirayama, E. N. Glytsis and T. K. Gaylord, Riogorous electromagnetic analysis of diffractive cylinder lenses, J. Opt. Soc. Am. A 13, 2219-2231(1996) [CrossRef]
M. Schmitz and O. Bryngdahl, Rigorous concept for the design of diffractive microlenses with high numerical apertures, J. Opt. Soc. Am. A 14, 901-906(1997) [CrossRef]
J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, San Francisco, 1968)
C. B. Burckhardt, Diffraction of a plane wave at a sinusoidally stratified dielectric grating, J. Opt. Soc. Am. 56, 1502-157(1966) [CrossRef]
F. G. Kaspar, Diffraction by thick, periodically stratified gratings with complex dielectric constant, J. Opt. Soc. Am. 63, 37-45(1973) [CrossRef]
K. Knop, Rigorous diffraction theory ofor transmissionphase gratings with deep rectangular grooves, J. Opt. Soc. Am. 68, 1206-1210(1978) [CrossRef]
M. Schmitz, R. Bruer and O. Bryngdahl, Comment on numerical stability of rigorous differential methods of diffraction, Opt. Commun. 124, 1-8(1996) [CrossRef]
Lifeng Li, Use of Fourier series in the analysis of discontinuous periodic structures, J. Opt. Soc. Am. A 13, 1870-1876(1996) [CrossRef]

Cited By

Alert me when this paper is cited

OSA is able to provide readers links to articles that cite this paper by participating in CrossRef's Cited-By Linking service. CrossRef includes content from more than 3000 publishers and societies. In addition to listing OSA journal articles that cite this paper, citing articles from other participating publishers will also be listed.

Click here to see a list of articles that cite this paper