Abstract

A new optical element, a Fresnel axicon (fraxicon), is proposed. Similar to a Fresnel lens, this element consists of concentric prism-like grooves with an apex angle equal to that of a bulk axicon and whose action relies on refraction. The fraxicon is less chromatic and simpler to manufacture than holographic optical element–based diffractive axicons and, in comparison with regular refractive axicons, is more compact with less absorption loss in the material while allowing significant economy in mass production.

© 2006 Optical Society of America

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Errata

A. Vijaykumar and S. Bhattacharya, "Phase shifted Fresnel axicon: erratum," Opt. Lett. 38, 458-458 (2013)
https://www.osapublishing.org/ol/abstract.cfm?uri=ol-38-4-458

References

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D. A. Gregory and G. Peng, Opt. Eng. 40, 713 (2001).
[CrossRef]

2000

1999

1998

1995

1993

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[CrossRef] [PubMed]

J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, J. Opt. Soc. Am. A 10, 1766 (1993).
[CrossRef]

1992

1991

1990

1989

M. Florjanczyk and R. Tremblay, Opt. Commun. 73, 448 (1989).
[CrossRef]

A. Vasara, J. Turunen, and A. T. Friberg, J. Opt. Soc. Am. 6, 1748 (1989).
[CrossRef]

1988

1987

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[CrossRef] [PubMed]

J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

1980

1978

1960

J. H. McLeod, J. Opt. Soc. Am. 50, 592 (1960).
[CrossRef]

1954

Belanger, P.

Burvall, A.

For a recent review on axicons and their applications, see Z. Jaroszewicz, A. Burvall, and T. Friberg, Opt. Photon. News 16(4), 34 (2005).

Chen, Z.

Collins, G.

Cox, A. J.

D'Anna, J.

Davidson, N.

Ding, Z.

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J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

J. Durnin, J. Opt. Soc. Am. A 4, 651 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Elsaesser, T.

Florjanczyk, M.

M. Florjanczyk and R. Tremblay, Opt. Commun. 73, 448 (1989).
[CrossRef]

Friberg, A. T.

Friberg, T.

For a recent review on axicons and their applications, see Z. Jaroszewicz, A. Burvall, and T. Friberg, Opt. Photon. News 16(4), 34 (2005).

Friese, M. E. J.

Friesem, A. A.

Golub, I.

Gregory, D. A.

D. A. Gregory and G. Peng, Opt. Eng. 40, 713 (2001).
[CrossRef]

Griebner, U.

Grunwald, K.

Hartmann, H.-J.

Hasman, E.

Hausler, G.

Heckel, W.

Heckenberg, N. R.

Herzig, H. P.

Jaroszewicz, Z.

For a recent review on axicons and their applications, see Z. Jaroszewicz, A. Burvall, and T. Friberg, Opt. Photon. News 16(4), 34 (2005).

J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, J. Opt. Soc. Am. A 10, 1766 (1993).
[CrossRef]

Z. Jaroszewicz, J. Sochacki, A. Kolodziejczyk, and L. R. Staronski, Opt. Lett. 18, 1893 (1993).
[CrossRef] [PubMed]

L. R. Staronski, J. Sochacki, and Z. Jaroszewicz, J. Opt. Soc. Am. A 9, 2091 (1992).
[CrossRef]

Juptner, W.

Kebbel, V.

Khoo, I.

Kolodziejczyk, A.

J. Sochacki, Z. Jaroszewicz, L. R. Staronski, and A. Kolodziejczyk, J. Opt. Soc. Am. A 10, 1766 (1993).
[CrossRef]

Z. Jaroszewicz, J. Sochacki, A. Kolodziejczyk, and L. R. Staronski, Opt. Lett. 18, 1893 (1993).
[CrossRef] [PubMed]

Kunz, R. E.

Leith, E. N.

Leutz, R.

R. Leutz and A. Suzuki, Nonimaging Fresnel Lenses, Vol. 83of Springer Series in Optical Sciences (Springer, 2001).

McLeod, J. H.

J. H. McLeod, J. Opt. Soc. Am. 50, 592 (1960).
[CrossRef]

J. H. McLeod, J. Opt. Soc. Am. 44, 592 (1954).
[CrossRef]

Miceli, J. J.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Nelson, J. S.

Nibbering, E. T. J.

Nieminen, T. A.

Peng, G.

D. A. Gregory and G. Peng, Opt. Eng. 40, 713 (2001).
[CrossRef]

Popov, S. Y.

Ren, H.

Rioux, M.

Rossi, M.

Rubinsztein-Dunlop, and H.

Sochacki, J.

Staronski, L. R.

Suzuki, A.

R. Leutz and A. Suzuki, Nonimaging Fresnel Lenses, Vol. 83of Springer Series in Optical Sciences (Springer, 2001).

Tremblay, R.

I. Golub and R. Tremblay, J. Opt. Soc. Am. B 7, 1264 (1990).
[CrossRef]

M. Florjanczyk and R. Tremblay, Opt. Commun. 73, 448 (1989).
[CrossRef]

Tschirschwitz, F.

Turunen, J.

A. Vasara, J. Turunen, and A. T. Friberg, J. Opt. Soc. Am. 6, 1748 (1989).
[CrossRef]

J. Turunen, A. Vasara, and A. T. Friberg, Appl. Opt. 27, 3959 (1988).
[CrossRef] [PubMed]

Vasara, A.

A. Vasara, J. Turunen, and A. T. Friberg, J. Opt. Soc. Am. 6, 1748 (1989).
[CrossRef]

J. Turunen, A. Vasara, and A. T. Friberg, Appl. Opt. 27, 3959 (1988).
[CrossRef] [PubMed]

Wynn, T.

Zhao, Y.

Appl. Opt.

J. Opt. Soc. Am.

A. Vasara, J. Turunen, and A. T. Friberg, J. Opt. Soc. Am. 6, 1748 (1989).
[CrossRef]

E. N. Leith, G. Collins, I. Khoo, and T. Wynn, J. Opt. Soc. Am. 70, 141 (1980).
[CrossRef]

J. H. McLeod, J. Opt. Soc. Am. 44, 592 (1954).
[CrossRef]

J. H. McLeod, J. Opt. Soc. Am. 50, 592 (1960).
[CrossRef]

J. Opt. Soc. Am. A

J. Opt. Soc. Am. B

Opt. Commun.

M. Florjanczyk and R. Tremblay, Opt. Commun. 73, 448 (1989).
[CrossRef]

Opt. Eng.

D. A. Gregory and G. Peng, Opt. Eng. 40, 713 (2001).
[CrossRef]

Opt. Lett.

Phys. Rev. Lett.

J. Durnin, J. J. Miceli, and J. H. Eberly, Phys. Rev. Lett. 58, 1499 (1987).
[CrossRef] [PubMed]

Other

For a recent review on axicons and their applications, see Z. Jaroszewicz, A. Burvall, and T. Friberg, Opt. Photon. News 16(4), 34 (2005).

R. Leutz and A. Suzuki, Nonimaging Fresnel Lenses, Vol. 83of Springer Series in Optical Sciences (Springer, 2001).

Fresnel Tehnologies, Inc., Fresnel lenses information brochure, www.fresneltech.com.

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Figures (3)

Fig. 1
Fig. 1

Bulk axicon and an equivalent Fresnel axicon.

Fig. 2
Fig. 2

Zemax simulation of focusing by a, refractive axicon and b, Fresnel axicon [the second surface from the left is a Fresnel-lens-type surface having the same parameters and refraction angle as the axicon in a.

Fig. 3
Fig. 3

a, Ring pattern generation by the bulk axicon–lens combination. b, Bulk refractive axicon combined with a lens and its equivalent Fresnel axicon integrated with a Fresnel lens.

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