Abstract

This paper discusses the formation of the central light spot by means of a binary diffraction axicon with high numerical aperture, using a difference method of solving Maxwell’s equations in the temporal region. It is shown that the broadening of the central light spot that unavoidably appears when the beam that illuminates the axicon is linearly polarized can be compensated by introducing a linear phase singularity (perpendicular to the polarization direction) into the beam. A very compact, weakly broadened light spot whose size in the immediate vicinity of the surface of the optical element is 37% less than the diffraction limit can be formed in this case by varying the substrate thickness.

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2011 (1)

2010 (4)

S. N. Khonina and S. G. Volotovsky, “Controlling the contribution of the electric field components to the focus of a high-aperture lens using binary phase structures,” J. Opt. Soc. Am. A 27, 2188 (2010).
[CrossRef]

S. N. Khonina, A. V. Ustinov, S. G. Volotovski?, and M. A. Anan’in, “An algorithm for fast calculation of the diffraction of radial-vortex laser fields at a microaperture,” Izv. Samar. Nauch. Tsent. RAN, No. 12(3), 15 (2010).

S. N. Khonina, A. A. Kovalev, A. V. Ustinov, and S. G. Volotovski?, “The propagation of radially limited vortical beams in the near field: II. Results of modelling,” Komp. Opt. 34, 332 (2010).

S. N. Khonina, “Forming an axial cutoff with a decrease of the transverse size for linear polarization of an illuminating beam by means of high-aperture axicons that possess no axial symmetry,” Komp. Opt. 34, 461 (2010).

2009 (1)

V. V. Kotlyar and S. S. Stafeev, “Modeling the sharp focusing of a radially polarized laser mode by means of conical and binary microaxicons,” Komp. Opt. 33, 52 (2009).

2008 (1)

Y. Z. Yu and W. B. Dou, “Vector analyses of nondiffracting Bessel beams,” Prog. Electromag. Res. Lett. 5, 57 (2008).
[CrossRef]

2007 (1)

2006 (1)

2001 (1)

J. Tervo and J. Turunen, “Generation of vectorial propagation-invariant fields by polarization-grating axicons,” Opt. Commun. 192, 13 (2001).
[CrossRef]

1998 (1)

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

1997 (2)

1995 (1)

1993 (2)

1991 (3)

1989 (2)

1988 (1)

1954 (1)

Anan’in, M. A.

S. N. Khonina, A. V. Ustinov, S. G. Volotovski?, and M. A. Anan’in, “An algorithm for fast calculation of the diffraction of radial-vortex laser fields at a microaperture,” Izv. Samar. Nauch. Tsent. RAN, No. 12(3), 15 (2010).

Boothroyd, S. A.

Chrostowski, J.

Courjon, D.

Cox, A. J.

Dibble, D. C.

Dou, W. B.

Y. Z. Yu and W. B. Dou, “Vector analyses of nondiffracting Bessel beams,” Prog. Electromag. Res. Lett. 5, 57 (2008).
[CrossRef]

Friberg, A. T.

Golub, I.

Grosjean, T.

Herman, R. M.

Honkanen, M.

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Kalosha, V. P.

Kettunen, V.

Khonina, S. N.

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Khonina, S. N.

S. N. Khonina and I. Golub, “Optimization of focusing of linearly polarized light,” Opt. Lett. 36, 352 (2011).
[CrossRef] [PubMed]

S. N. Khonina, A. A. Kovalev, A. V. Ustinov, and S. G. Volotovski?, “The propagation of radially limited vortical beams in the near field: II. Results of modelling,” Komp. Opt. 34, 332 (2010).

S. N. Khonina, A. V. Ustinov, S. G. Volotovski?, and M. A. Anan’in, “An algorithm for fast calculation of the diffraction of radial-vortex laser fields at a microaperture,” Izv. Samar. Nauch. Tsent. RAN, No. 12(3), 15 (2010).

S. N. Khonina and S. G. Volotovsky, “Controlling the contribution of the electric field components to the focus of a high-aperture lens using binary phase structures,” J. Opt. Soc. Am. A 27, 2188 (2010).
[CrossRef]

S. N. Khonina, “Forming an axial cutoff with a decrease of the transverse size for linear polarization of an illuminating beam by means of high-aperture axicons that possess no axial symmetry,” Komp. Opt. 34, 461 (2010).

Kotlyar, V. V.

V. V. Kotlyar and S. S. Stafeev, “Modeling the sharp focusing of a radially polarized laser mode by means of conical and binary microaxicons,” Komp. Opt. 33, 52 (2009).

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Kovalev, A. A.

S. N. Khonina, A. A. Kovalev, A. V. Ustinov, and S. G. Volotovski?, “The propagation of radially limited vortical beams in the near field: II. Results of modelling,” Komp. Opt. 34, 332 (2010).

Kuittinen, M.

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

P. Vahimaa, V. Kettunen, M. Kuittinen, J. Turunen, and A. T. Friberg, “Electromagnetic analysis of nonparaxial Bessel beams generated by diffractive axicons,” J. Opt. Soc. Am. A 14, 1817 (1997).
[CrossRef]

Lanzl, T.

Lautanen, J.

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

MacDonald, R. P.

Maier, M.

Mansuripur, M.

McLeod, J. H.

Mishra, S. R.

S. R. Mishra, “A vector wave analysis of a Bessel beam,” Opt. Commun. 85, 159 (1991).
[CrossRef]

Niggl, L.

Paakkonen, P.

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Rosen, J.

Salik, B.

Soifer, V. A.

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

Stafeev, S. S.

V. V. Kotlyar and S. S. Stafeev, “Modeling the sharp focusing of a radially polarized laser mode by means of conical and binary microaxicons,” Komp. Opt. 33, 52 (2009).

Syrett, B. A.

Tervo, J.

J. Tervo and J. Turunen, “Generation of vectorial propagation-invariant fields by polarization-grating axicons,” Opt. Commun. 192, 13 (2001).
[CrossRef]

Turunen, J.

J. Tervo and J. Turunen, “Generation of vectorial propagation-invariant fields by polarization-grating axicons,” Opt. Commun. 192, 13 (2001).
[CrossRef]

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

P. Vahimaa, V. Kettunen, M. Kuittinen, J. Turunen, and A. T. Friberg, “Electromagnetic analysis of nonparaxial Bessel beams generated by diffractive axicons,” J. Opt. Soc. Am. A 14, 1817 (1997).
[CrossRef]

J. Turunen and A. T. Friberg, “Electromagnetic theory of reflaxicon beams,” Pure Appl. Opt. 2, 539 (1993).
[CrossRef]

A. Vasara, J. Turunen, and A. T. Friberg, “Realization of general nondiffracting beams with computer-generated holograms,” J. Opt. Soc. Am. A 6, 1748 (1989).
[CrossRef] [PubMed]

J. Turunen, A. Vasara, and A. T. Friberg, “Holographic generation of diffraction-free beams,” Appl. Opt. 27, 3959 (1988).
[CrossRef] [PubMed]

Ustinov, A. V.

S. N. Khonina, A. V. Ustinov, S. G. Volotovski?, and M. A. Anan’in, “An algorithm for fast calculation of the diffraction of radial-vortex laser fields at a microaperture,” Izv. Samar. Nauch. Tsent. RAN, No. 12(3), 15 (2010).

S. N. Khonina, A. A. Kovalev, A. V. Ustinov, and S. G. Volotovski?, “The propagation of radially limited vortical beams in the near field: II. Results of modelling,” Komp. Opt. 34, 332 (2010).

Vahimaa, P.

Vasara, A.

Volotovskii, S. G.

S. N. Khonina, A. A. Kovalev, A. V. Ustinov, and S. G. Volotovski?, “The propagation of radially limited vortical beams in the near field: II. Results of modelling,” Komp. Opt. 34, 332 (2010).

S. N. Khonina, A. V. Ustinov, S. G. Volotovski?, and M. A. Anan’in, “An algorithm for fast calculation of the diffraction of radial-vortex laser fields at a microaperture,” Izv. Samar. Nauch. Tsent. RAN, No. 12(3), 15 (2010).

Volotovsky, S. G.

Wiggins, T. A.

Yariv, A.

Yu, Y. Z.

Y. Z. Yu and W. B. Dou, “Vector analyses of nondiffracting Bessel beams,” Prog. Electromag. Res. Lett. 5, 57 (2008).
[CrossRef]

Appl. Opt. (3)

Izv. Samar. Nauch. Tsent. RAN (1)

S. N. Khonina, A. V. Ustinov, S. G. Volotovski?, and M. A. Anan’in, “An algorithm for fast calculation of the diffraction of radial-vortex laser fields at a microaperture,” Izv. Samar. Nauch. Tsent. RAN, No. 12(3), 15 (2010).

J. Mod. Opt. (1)

P. Paakkonen, J. Lautanen, M. Honkanen, M. Kuittinen, J. Turunen, S. N. Khonina, V. V. Kotlyar, V. A. Soifer, and A. T. Friberg, “Rotating optical fields: experimental demonstration with diffractive optics,” J. Mod. Opt. 45, 2355 (1998).
[CrossRef]

J. Opt. Soc. Am. (1)

J. Opt. Soc. Am. A (7)

Komp. Opt. (3)

S. N. Khonina, A. A. Kovalev, A. V. Ustinov, and S. G. Volotovski?, “The propagation of radially limited vortical beams in the near field: II. Results of modelling,” Komp. Opt. 34, 332 (2010).

S. N. Khonina, “Forming an axial cutoff with a decrease of the transverse size for linear polarization of an illuminating beam by means of high-aperture axicons that possess no axial symmetry,” Komp. Opt. 34, 461 (2010).

V. V. Kotlyar and S. S. Stafeev, “Modeling the sharp focusing of a radially polarized laser mode by means of conical and binary microaxicons,” Komp. Opt. 33, 52 (2009).

Opt. Commun. (2)

S. R. Mishra, “A vector wave analysis of a Bessel beam,” Opt. Commun. 85, 159 (1991).
[CrossRef]

J. Tervo and J. Turunen, “Generation of vectorial propagation-invariant fields by polarization-grating axicons,” Opt. Commun. 192, 13 (2001).
[CrossRef]

Opt. Express (1)

Opt. Lett. (2)

Prog. Electromag. Res. Lett. (1)

Y. Z. Yu and W. B. Dou, “Vector analyses of nondiffracting Bessel beams,” Prog. Electromag. Res. Lett. 5, 57 (2008).
[CrossRef]

Pure Appl. Opt. (1)

J. Turunen and A. T. Friberg, “Electromagnetic theory of reflaxicon beams,” Pure Appl. Opt. 2, 539 (1993).
[CrossRef]

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