Generation of pseudo-Bessel beams at THz frequencies by use of binary axicons

doi:10.1364/OE.17.000888

Generation of pseudo-Bessel beams at THz frequencies by use of binary axicons

Yanzhong Yu and Wenbin Dou »View Author Affiliations

Optics Express, Vol. 17, Issue 2, pp. 888-893 (2009)
http://dx.doi.org/10.1364/OE.17.000888

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Abstract

In order to miniaturize and integrate conveniently in THz quasi-optical systems, binary axicons, based on binary optical ideas, are introduced in our paper and designed for generating pseudo-Bessel beams at THz frequencies. The designed binary axicons are easier to fabricate than holographic axicons, more compact and thus less lossy in the material when compared with classical cone axicons. To calculate the electromagnetic fields diffracted by binary axicons precisely, a two-dimension finite-difference time-domain (2-D FDTD) method in conjunction with Stratton-Chu formulas are employed in this paper. Applying this method, the properties of pseudo-Bessel beams produced by binary axicons are analyzed, and a brief summary is given in the end.

OCIS Codes
(050.1380) Diffraction and gratings : Binary optics
(080.3620) Geometric optics : Lens system design
(050.1965) Diffraction and gratings : Diffractive lenses

ToC Category:
Fiber Optics and Optical Communications

History
Original Manuscript: November 3, 2008
Revised Manuscript: November 28, 2008
Manuscript Accepted: January 9, 2009
Published: January 12, 2009

Citation
Yanzhong Yu and Wenbin Dou, "Generation of pseudo-Bessel beams at THz frequencies by use of binary axicons," Opt. Express 17, 888-893 (2009)
http://www.opticsinfobase.org/oe/abstract.cfm?URI=oe-17-2-888

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References

J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987). [CrossRef]
Z. Bouchal, "Nondiffracting optical beams: physical properties, experiments, and applications," Czech. J. Phys. 53, 537-78 (2003). [CrossRef]
J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001). [CrossRef]
V. Garcés-Chávez,D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003). [CrossRef] [PubMed]
K. Wang, L. Zeng, and Ch. Yin, "Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement," Opt. Commun. 216, 99-103 (2003). [CrossRef]
S. Monk, J. Arlt, D. A. Robertson, J. Courtial, and M. J. Padgett, "The generation of Bessel beams at millimetre-wave frequencies by use of an axicon," Opt. Commun. 170, 213-215 (1999). [CrossRef]
N. Trappe, R. Mahon, W. Lanigan, J. A. Murphy, and S. Withington, "The quasi-optical analysis of Bessel beams in the far infrared," Infrared Phys. Technol. 46, 233-247 (2005). [CrossRef]
J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297-301(2000). [CrossRef]
J. A. Monsoriu, W. D. Furlan, P. Andres, and J. Lancis, "Fractal conical lenses," Opt. Express 14, 9077- 9082 (2006). [CrossRef] [PubMed]
I. Golub, "Fresnel axicon," Opt. Lett. 31, 1890-1892 (2006). [CrossRef] [PubMed]
J. Meltaus, J. Salo, E. Noponen, M. M. Salomaa, V. Viikari, A. Lonnqvist, T. Koskinen, J. Saily, J. Hakli, J. Ala-Laurinaho, J. Mallat, and A. V. Raisanen, "Millimeter-wave beam shaping using holograms," IEEE Trans. Microwave Theory Tech. 51, 1274-1279 (2003). [CrossRef]
J. Courtial and G. Whyte, "Iterative algorithms for holographic shaping of non-diffracting and self-imaging light beams," Opt. Express 14, 2108-2116 (2006). [CrossRef] [PubMed]
J. H. McLeod, "The axicon: a new type of optical element," J. Opt. Soc. Am 44, 592-597 (1954). [CrossRef]
D. Feng, Y. B. Yan, G. F. Jin, Q. F. Tan, and H. T. Liu, "Rigorous electromagnetic design of finite-aperture diffractive optical elements by use of an iterative optimization algorithm," J. Opt. Soc. Am. A 20, 1739- 1745 (2003). [CrossRef]
K. Hirayama, E. N. Glytsis, and T. K. Gaylord, "Rigorous electromagnetic analysis of diffractive cylindrical lenses," J. Opt. Soc. Am. A 13, 2219-2231(1996). [CrossRef]
J. A. Stratton, Electromagnetic Theory (McGraw-Hill, NewYork, 1941).

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[1] J. Durnin, "Exact solutions for nondiffracting beams. I. The scalar theory," J. Opt. Soc. Am. A 4, 651-654 (1987). [CrossRef]

[2] Z. Bouchal, "Nondiffracting optical beams: physical properties, experiments, and applications," Czech. J. Phys. 53, 537-78 (2003). [CrossRef]

[3] J. Arlt, V. Garces-Chavez, W. Sibbett, and K. Dholakia, "Optical micromanipulation using a Bessel light beam," Opt. Commun. 197, 239-245 (2001). [CrossRef]

[4] V. Garcés-Chávez,D. McGloin, M. J. Padgett, W. Dultz, H. Schmitzer, and K. Dholakia, "Observation of the transfer of the local angular momentum density of a multiringed light beam to an optically trapped particle," Phys. Rev. Lett. 91, 093602 (2003). [CrossRef] [PubMed]

[5] K. Wang, L. Zeng, and Ch. Yin, "Influence of the incident wave-front on intensity distribution of the nondiffracting beam used in large-scale measurement," Opt. Commun. 216, 99-103 (2003). [CrossRef]

[6] S. Monk, J. Arlt, D. A. Robertson, J. Courtial, and M. J. Padgett, "The generation of Bessel beams at millimetre-wave frequencies by use of an axicon," Opt. Commun. 170, 213-215 (1999). [CrossRef]

[7] N. Trappe, R. Mahon, W. Lanigan, J. A. Murphy, and S. Withington, "The quasi-optical analysis of Bessel beams in the far infrared," Infrared Phys. Technol. 46, 233-247 (2005). [CrossRef]

[8] J. Arlt and K. Dholakia, "Generation of high-order Bessel beams by use of an axicon," Opt. Commun. 177, 297-301(2000). [CrossRef]

[9] J. A. Monsoriu, W. D. Furlan, P. Andres, and J. Lancis, "Fractal conical lenses," Opt. Express 14, 9077- 9082 (2006). [CrossRef] [PubMed]

[10] I. Golub, "Fresnel axicon," Opt. Lett. 31, 1890-1892 (2006). [CrossRef] [PubMed]

[11] J. Meltaus, J. Salo, E. Noponen, M. M. Salomaa, V. Viikari, A. Lonnqvist, T. Koskinen, J. Saily, J. Hakli, J. Ala-Laurinaho, J. Mallat, and A. V. Raisanen, "Millimeter-wave beam shaping using holograms," IEEE Trans. Microwave Theory Tech. 51, 1274-1279 (2003). [CrossRef]

[12] J. Courtial and G. Whyte, "Iterative algorithms for holographic shaping of non-diffracting and self-imaging light beams," Opt. Express 14, 2108-2116 (2006). [CrossRef] [PubMed]

[13] J. H. McLeod, "The axicon: a new type of optical element," J. Opt. Soc. Am 44, 592-597 (1954). [CrossRef]

[14] D. Feng, Y. B. Yan, G. F. Jin, Q. F. Tan, and H. T. Liu, "Rigorous electromagnetic design of finite-aperture diffractive optical elements by use of an iterative optimization algorithm," J. Opt. Soc. Am. A 20, 1739- 1745 (2003). [CrossRef]

[15] K. Hirayama, E. N. Glytsis, and T. K. Gaylord, "Rigorous electromagnetic analysis of diffractive cylindrical lenses," J. Opt. Soc. Am. A 13, 2219-2231(1996). [CrossRef]

[16] J. A. Stratton, Electromagnetic Theory (McGraw-Hill, NewYork, 1941).

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Generation of pseudo-Bessel beams at THz frequencies by use of binary axicons