Abstract

Tolerance in angles of continuously self-imaging gratings (CSIGs) is explored. The degradation in angle of the shape of the point-spread function is theoretically investigated and illustrated by simulations and experiments. The formalism presented is inspired by the one used for classical lenses and can be easily generalized to diffraction gratings. It turns out that well-designed CSIGs could be used for scanning optical systems requiring a large field of view.

© 2007 Optical Society of America

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  20. J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), p. 101.
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  23. E. di Mambro, R. Haïdar, N. Guérineau, and J. Primot, "Sharpness limitations in the projection of thin lines by use of the Talbot experiment," J. Opt. Soc. Am. A 21, 2276-2282 (2004).

2007 (2)

2006 (1)

2004 (1)

2003 (2)

A. Thaning, Z. Jaroszewicz, and A. T. Friberg, "Diffractive axicons in oblique illumination: analysis and experiments and comparaison with elliptical axicons," Appl. Opt. 42, 9-17 (2003).
[CrossRef]

N. Guérineau, S. Rommeluere, E. Di Mambro, I. Ribet, and J. Primot, "New techniques of characterization," C. R. Phys. 4, 1175-1185 (2003).

2001 (1)

2000 (2)

1999 (1)

1998 (2)

1996 (2)

A. T. Friberg, "Stationary-phase analysis of generalized axicons," J. Opt. Soc. Am. A 13, 743-750 (1996).

M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996).
[CrossRef]

1992 (2)

1987 (1)

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

1969 (1)

R. F. Edgar, "The Fresnel diffraction images of periodic structures," Opt. Acta 16, 281-287 (1969).

1954 (1)

J. H. McLoed, "The axicon: a new type of optical element," J. Opt. Soc. Am. 14, 592-597 (1954).

Arimoto, R.

Baida, F.

Bara, S.

Bin, Z.

Born, M.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. IX, p. 468.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. V, p. 203.

Burvall, A.

Courjon, D.

Dainty, C.

di Mambro, E.

E. di Mambro, R. Haïdar, N. Guérineau, and J. Primot, "Sharpness limitations in the projection of thin lines by use of the Talbot experiment," J. Opt. Soc. Am. A 21, 2276-2282 (2004).

N. Guérineau, S. Rommeluere, E. Di Mambro, I. Ribet, and J. Primot, "New techniques of characterization," C. R. Phys. 4, 1175-1185 (2003).

Durnin, J.

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

Edgar, R. F.

R. F. Edgar, "The Fresnel diffraction images of periodic structures," Opt. Acta 16, 281-287 (1969).

Friberg, A. T.

Goncharenko, A. M.

M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996).
[CrossRef]

Goncharov, A. V.

Goodman, J. W.

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), p. 101.

Grosjean, T.

Guérineau, N.

Haïdar, R.

Harchaoui, B.

Heggarty, K.

Jahns, J.

M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996).
[CrossRef]

Jaroszewicz, Z.

Kawata, S.

Khilo, N. A.

M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996).
[CrossRef]

Kolacz, K.

Kolodziejczyk, A.

McLoed, J. H.

J. H. McLoed, "The axicon: a new type of optical element," J. Opt. Soc. Am. 14, 592-597 (1954).

Morales, J.

Primot, J.

Ribet, I.

N. Guérineau, S. Rommeluere, E. Di Mambro, I. Ribet, and J. Primot, "New techniques of characterization," C. R. Phys. 4, 1175-1185 (2003).

Rommeluere, S.

N. Guérineau, S. Rommeluere, E. Di Mambro, I. Ribet, and J. Primot, "New techniques of characterization," C. R. Phys. 4, 1175-1185 (2003).

Saloma, C.

Sánchez-Losa, A.

Sochacki, J.

Soroko, L. M.

L. M. Soroko, "Axicons and meso-optical imaging devices," in Progress in Optics, Vol. 27, E.Wolf, ed. (Elsevier, 1989), pp. 111-127.

Tanaka, T.

T. Tanaka and S. Yamamoto, "Comparison of aberration between axicon and lens," Opt. Commun. 184, 113-118 (2000).
[CrossRef]

R. Arimoto, C. Saloma, T. Tanaka, and S. Kawata, "Imaging properties of axicon in a scanning optical system," Appl. Opt. 31, 6653-6657 (1992).

Testorf, M.

M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996).
[CrossRef]

Thaning, A.

Wolf, E.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. V, p. 203.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. IX, p. 468.

Yamamoto, S.

T. Tanaka and S. Yamamoto, "Comparison of aberration between axicon and lens," Opt. Commun. 184, 113-118 (2000).
[CrossRef]

Zapata-Rodríguez, C. J.

Zhu, L.

Appl. Opt. (7)

C. R. Phys. (1)

N. Guérineau, S. Rommeluere, E. Di Mambro, I. Ribet, and J. Primot, "New techniques of characterization," C. R. Phys. 4, 1175-1185 (2003).

J. Opt. Soc. Am. (3)

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

J. H. McLoed, "The axicon: a new type of optical element," J. Opt. Soc. Am. 14, 592-597 (1954).

N. Guérineau and J. Primot, "Nondiffracting array generation using an N-wave interferometer," J. Opt. Soc. Am. 16, 293-298 (1999).

J. Opt. Soc. Am. A (4)

Opt. Acta (1)

R. F. Edgar, "The Fresnel diffraction images of periodic structures," Opt. Acta 16, 281-287 (1969).

Opt. Commun. (2)

M. Testorf, J. Jahns, N. A. Khilo, and A. M. Goncharenko, "Talbot effect for oblique angle of light propagation," Opt. Commun. 129, 167-172 (1996).
[CrossRef]

T. Tanaka and S. Yamamoto, "Comparison of aberration between axicon and lens," Opt. Commun. 184, 113-118 (2000).
[CrossRef]

Opt. Lett. (1)

Other (4)

J. W. Goodman, Introduction to Fourier Optics (McGraw-Hill, 1968), p. 101.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. V, p. 203.

M. Born and E. Wolf, Principles of Optics, 6th ed. (Pergamon, 1989), Chap. IX, p. 468.

L. M. Soroko, "Axicons and meso-optical imaging devices," in Progress in Optics, Vol. 27, E.Wolf, ed. (Elsevier, 1989), pp. 111-127.

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