Abstract

Monochromatic imaging systems with spatial-frequency filters in the form of Fabry-Perot interferometers, concentric ring masks, and diffractive multifocal lenses are shown to realize the same effect of multiple equidistant imaging. However, the forms of manifestation of this effect are not identical due to the difference in spectral content of generated wave fields. Self-imaging fields with a discrete angular spectrum inherent in the systems with masks and interferometers are found to comprise a subclass of periodically focused fields with a continuous angular spectrum peculiar to the systems with diffractive multifocal lenses. The advantages of the latter systems are the extremely high total light efficiency and the sharply defined longitudinal localization of generated wave fields, which enhance the brightness of the reproduced images and decreases their parasitic diffraction dispersion, background noise, and blurring.

© 2007 Optical Society of America

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    [CrossRef]
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  6. J. Ojeda-Castañeda, P. Andrés, and E. Tepíchin, "Spatial filters for replicating images," Opt. Lett. 11, 551-553 (1986).
  7. A. W. Lohmann and A. S. Marathay, "About periodicities in 3-D wavefields," Appl. Opt. 28, 4419-4423 (1989).
  8. P. Szwaykowski and J. Ojeda-Castañeda, "Nondiffracting beams and the self-imaging phenomenon," Opt. Commun. 83, 1-4 (1991).
    [CrossRef]
  9. J. Turunen and A. T. Friberg, "Self-imaging and propagation-invariance in electromagnetic fields," Pure Appl. Opt. 2, 51-60 (1993).
    [CrossRef]
  10. R. Piestun and J. Shamir, "Generalized propagation-invariant wave fields," J. Opt. Soc. Am. A 15, 3039-3044 (1998).
  11. S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999).
    [CrossRef]
  12. R. Piestun, Y. Y. Schechner, and J. Shamir, "Propagation-invariant wave fields with finite energy," J. Opt. Soc. Am. A 17, 294-303 (2000).
  13. J. Tervo and J. Turunen, "Self-imaging of electromagnetic fields," Opt. Express 9, 622-630 (2001).
  14. J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003).
    [CrossRef]
  15. T. Saastamoinen, J. Tervo, P. Vahimaa, and J. Turunen, "Exact self-imaging of transversely periodic fields," J. Opt. Soc. Am. A 21, 1424-1429 (2004).
    [CrossRef]
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  17. G. Indebetouw, "Unfocused optical correlator. Part 2: Fabry-Perot prefiltering," Optik (Stuttgart) 59, 287-302 (1981).
  18. G. Indebetouw, "Self-imaging through a Fabry-Perot interferometer," Opt. Acta 30, 1463-1471 (1983).
  19. G. Indebetouw, "Propagation of spatially periodic wave fields," Opt. Acta 31, 531-539 (1984).
  20. G. Indebetouw, "Polychromatic self-imaging," J. Mod. Opt. 35, 243-252 (1988).
  21. M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
    [CrossRef]
  22. Z. L. Horváth, M. Erdélyi, G. Szabó, Zs. Bor, F. K. Tittel, and J. R. Cavallaro, "Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer," J. Opt. Soc. Am. A 14, 3009-3013 (1997).
  23. M. Erdélyi, Zs. Bor, W. L. Wilson, M. C. Smayling, and F. K. Tittel, "Simulation of coherent multiple imaging by means of pupil plane filtering in optical microlithography," J. Opt. Soc. Am. A 16, 1909-1914 (1999).
  24. M. Erdélyi, Zs. Bor, W. L. Wilson, M. C. Smayling, and F. K. Tittel, "Enhanced optical microlithography with a Fabry-Perot-based spatial filtering technique," Appl. Opt. 39, 1121-1129 (2000).
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    [CrossRef]
  26. J. Wagner and Z. Bouchal, "Experimental realization of self-reconstruction of the 2D aperiodic objects," Opt. Commun. 176, 309-311 (2000).
  27. A. G. Sedukhin, "Periodically focused propagation-invariant beams with sharp central peak," Opt. Commun. 228, 231-247 (2003).
  28. A. G. Sedukhin, "Generalized periodically focused beams and multiple on-axis lens imaging," Opt. Commun. 229, 39-57 (2004).
  29. V. V. Cherkashin, A. G. Poleshchuk, and A. G. Sedukhin, "Experimental examination of self-imaging effect with the use of a diffractive multifocal lens," in EOS Topical Meeting Diffractive Optics 2005 (European Optical Society, 2005), pp. 70-71.
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    [CrossRef]
  32. A. G. Sedukhin, "Marginal phase correction of truncated Bessel beams," J. Opt. Soc. Am. A 17, 1059-1066 (2000).
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  35. H. Dammann and K. Gortler, "High-efficiency in-line multiple imaging by means of multiple phase holograms," Opt. Commun. 3, 312-315 (1971).
    [CrossRef]
  36. H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensional periodic structures," Opt. Acta 24, 505-515 (1977).

2004 (2)

T. Saastamoinen, J. Tervo, P. Vahimaa, and J. Turunen, "Exact self-imaging of transversely periodic fields," J. Opt. Soc. Am. A 21, 1424-1429 (2004).
[CrossRef]

A. G. Sedukhin, "Generalized periodically focused beams and multiple on-axis lens imaging," Opt. Commun. 229, 39-57 (2004).

2003 (2)

A. G. Sedukhin, "Periodically focused propagation-invariant beams with sharp central peak," Opt. Commun. 228, 231-247 (2003).

J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003).
[CrossRef]

2001 (1)

2000 (5)

1999 (3)

M. Erdélyi, Zs. Bor, W. L. Wilson, M. C. Smayling, and F. K. Tittel, "Simulation of coherent multiple imaging by means of pupil plane filtering in optical microlithography," J. Opt. Soc. Am. A 16, 1909-1914 (1999).

S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999).
[CrossRef]

M. V. Berry and E. Bodenschatz, "Caustics, multiply reconstructed by Talbot interference," J. Mod. Opt. 46, 349-365 (1999).
[CrossRef]

1998 (1)

1997 (2)

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Z. L. Horváth, M. Erdélyi, G. Szabó, Zs. Bor, F. K. Tittel, and J. R. Cavallaro, "Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer," J. Opt. Soc. Am. A 14, 3009-3013 (1997).

1995 (1)

1993 (1)

J. Turunen and A. T. Friberg, "Self-imaging and propagation-invariance in electromagnetic fields," Pure Appl. Opt. 2, 51-60 (1993).
[CrossRef]

1991 (1)

P. Szwaykowski and J. Ojeda-Castañeda, "Nondiffracting beams and the self-imaging phenomenon," Opt. Commun. 83, 1-4 (1991).
[CrossRef]

1989 (1)

1988 (1)

G. Indebetouw, "Polychromatic self-imaging," J. Mod. Opt. 35, 243-252 (1988).

1987 (1)

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

1986 (1)

1984 (1)

G. Indebetouw, "Propagation of spatially periodic wave fields," Opt. Acta 31, 531-539 (1984).

1983 (2)

G. Indebetouw, "Self-imaging through a Fabry-Perot interferometer," Opt. Acta 30, 1463-1471 (1983).

A. W. Lohmann, J. Ojeda-Castañeda, and N. Streibl, "Spatial periodicities in coherent and partially coherent fields," Opt. Acta 30, 1259-1266 (1983).

1981 (1)

G. Indebetouw, "Unfocused optical correlator. Part 2: Fabry-Perot prefiltering," Optik (Stuttgart) 59, 287-302 (1981).

1980 (1)

1977 (1)

H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensional periodic structures," Opt. Acta 24, 505-515 (1977).

1975 (1)

1971 (1)

H. Dammann and K. Gortler, "High-efficiency in-line multiple imaging by means of multiple phase holograms," Opt. Commun. 3, 312-315 (1971).
[CrossRef]

1967 (1)

1836 (1)

H. F. Talbot, "Facts relating to optical science," Philos. Mag. 9, 401-407 (1836).

Andrés, P.

Berry, M. V.

M. V. Berry and E. Bodenschatz, "Caustics, multiply reconstructed by Talbot interference," J. Mod. Opt. 46, 349-365 (1999).
[CrossRef]

Bodenschatz, E.

M. V. Berry and E. Bodenschatz, "Caustics, multiply reconstructed by Talbot interference," J. Mod. Opt. 46, 349-365 (1999).
[CrossRef]

Bor, Zs.

Bouchal, Z.

Z. Bouchal and J. Wagner, "Self-reconstruction effect in free propagation of wave field," Opt. Commun. 176, 299-307 (2000).
[CrossRef]

J. Wagner and Z. Bouchal, "Experimental realization of self-reconstruction of the 2D aperiodic objects," Opt. Commun. 176, 309-311 (2000).

Carter, W. H.

Cavallaro, J. R.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Z. L. Horváth, M. Erdélyi, G. Szabó, Zs. Bor, F. K. Tittel, and J. R. Cavallaro, "Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer," J. Opt. Soc. Am. A 14, 3009-3013 (1997).

Cherkashin, V. V.

V. V. Cherkashin, A. G. Poleshchuk, and A. G. Sedukhin, "Experimental examination of self-imaging effect with the use of a diffractive multifocal lens," in EOS Topical Meeting Diffractive Optics 2005 (European Optical Society, 2005), pp. 70-71.

Dammann, H.

H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensional periodic structures," Opt. Acta 24, 505-515 (1977).

H. Dammann and K. Gortler, "High-efficiency in-line multiple imaging by means of multiple phase holograms," Opt. Commun. 3, 312-315 (1971).
[CrossRef]

Durnin, J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Eberly, J. H.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Erdélyi, M.

Friberg, A. T.

W. Wang, A. T. Friberg, and E. Wolf, "Structure of focused fields in systems with large Fresnel numbers," J. Opt. Soc. Am. A 12, 1947-1953 (1995).

J. Turunen and A. T. Friberg, "Self-imaging and propagation-invariance in electromagnetic fields," Pure Appl. Opt. 2, 51-60 (1993).
[CrossRef]

Gortler, K.

H. Dammann and K. Gortler, "High-efficiency in-line multiple imaging by means of multiple phase holograms," Opt. Commun. 3, 312-315 (1971).
[CrossRef]

Horváth, Z. L.

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Z. L. Horváth, M. Erdélyi, G. Szabó, Zs. Bor, F. K. Tittel, and J. R. Cavallaro, "Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer," J. Opt. Soc. Am. A 14, 3009-3013 (1997).

Indebetouw, G.

G. Indebetouw, "Polychromatic self-imaging," J. Mod. Opt. 35, 243-252 (1988).

G. Indebetouw, "Propagation of spatially periodic wave fields," Opt. Acta 31, 531-539 (1984).

G. Indebetouw, "Self-imaging through a Fabry-Perot interferometer," Opt. Acta 30, 1463-1471 (1983).

G. Indebetouw, "Unfocused optical correlator. Part 2: Fabry-Perot prefiltering," Optik (Stuttgart) 59, 287-302 (1981).

G. Indebetouw, "Tunable spatial filtering with a Fabry-Perot interferometer," Appl. Opt. 19, 761-764 (1980).

Jahns, J.

J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003).
[CrossRef]

Khonina, S.

S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999).
[CrossRef]

Klotz, E.

H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensional periodic structures," Opt. Acta 24, 505-515 (1977).

Knuppertz, H.

J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003).
[CrossRef]

Kotlyar, V.

S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999).
[CrossRef]

Lohmann, A. W.

J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003).
[CrossRef]

A. W. Lohmann and A. S. Marathay, "About periodicities in 3-D wavefields," Appl. Opt. 28, 4419-4423 (1989).

A. W. Lohmann, J. Ojeda-Castañeda, and N. Streibl, "Spatial periodicities in coherent and partially coherent fields," Opt. Acta 30, 1259-1266 (1983).

Marathay, A. S.

Miceli, J. J.

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Michette, A. G.

A. G. Michette, Optical Systems for Soft X Rays (Plenum, 1986).

Montgomery, W. D.

Ojeda-Castañeda, J.

P. Szwaykowski and J. Ojeda-Castañeda, "Nondiffracting beams and the self-imaging phenomenon," Opt. Commun. 83, 1-4 (1991).
[CrossRef]

J. Ojeda-Castañeda, P. Andrés, and E. Tepíchin, "Spatial filters for replicating images," Opt. Lett. 11, 551-553 (1986).

A. W. Lohmann, J. Ojeda-Castañeda, and N. Streibl, "Spatial periodicities in coherent and partially coherent fields," Opt. Acta 30, 1259-1266 (1983).

Patorski, K.

K. Patorski, "The self-imaging phenomenon and its applications," in Progress in Optics, E.Wolf, ed. (North-Holland, 1989), Vol. 27, pp. 1-108.

Piestun, R.

Poleshchuk, A. G.

V. V. Cherkashin, A. G. Poleshchuk, and A. G. Sedukhin, "Experimental examination of self-imaging effect with the use of a diffractive multifocal lens," in EOS Topical Meeting Diffractive Optics 2005 (European Optical Society, 2005), pp. 70-71.

Saastamoinen, T.

Schechner, Y. Y.

Sedukhin, A. G.

A. G. Sedukhin, "Generalized periodically focused beams and multiple on-axis lens imaging," Opt. Commun. 229, 39-57 (2004).

A. G. Sedukhin, "Periodically focused propagation-invariant beams with sharp central peak," Opt. Commun. 228, 231-247 (2003).

A. G. Sedukhin, "Marginal phase correction of truncated Bessel beams," J. Opt. Soc. Am. A 17, 1059-1066 (2000).

V. V. Cherkashin, A. G. Poleshchuk, and A. G. Sedukhin, "Experimental examination of self-imaging effect with the use of a diffractive multifocal lens," in EOS Topical Meeting Diffractive Optics 2005 (European Optical Society, 2005), pp. 70-71.

Shamir, J.

Smayling, M. C.

Soifer, V.

S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999).
[CrossRef]

Streibl, N.

A. W. Lohmann, J. Ojeda-Castañeda, and N. Streibl, "Spatial periodicities in coherent and partially coherent fields," Opt. Acta 30, 1259-1266 (1983).

Szabó, G.

Z. L. Horváth, M. Erdélyi, G. Szabó, Zs. Bor, F. K. Tittel, and J. R. Cavallaro, "Generation of nearly nondiffracting Bessel beams with a Fabry-Perot interferometer," J. Opt. Soc. Am. A 14, 3009-3013 (1997).

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Szwaykowski, P.

P. Szwaykowski and J. Ojeda-Castañeda, "Nondiffracting beams and the self-imaging phenomenon," Opt. Commun. 83, 1-4 (1991).
[CrossRef]

Talbot, H. F.

H. F. Talbot, "Facts relating to optical science," Philos. Mag. 9, 401-407 (1836).

Tepíchin, E.

Tervo, J.

Tittel, F. K.

Turunen, J.

Vahimaa, P.

Wagner, J.

Z. Bouchal and J. Wagner, "Self-reconstruction effect in free propagation of wave field," Opt. Commun. 176, 299-307 (2000).
[CrossRef]

J. Wagner and Z. Bouchal, "Experimental realization of self-reconstruction of the 2D aperiodic objects," Opt. Commun. 176, 309-311 (2000).

Wang, W.

Wilson, W. L.

Wolf, E.

Appl. Opt. (3)

J. Mod. Opt. (2)

G. Indebetouw, "Polychromatic self-imaging," J. Mod. Opt. 35, 243-252 (1988).

M. V. Berry and E. Bodenschatz, "Caustics, multiply reconstructed by Talbot interference," J. Mod. Opt. 46, 349-365 (1999).
[CrossRef]

J. Opt. Soc. Am. (2)

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

J. Vac. Sci. Technol. B (1)

M. Erdélyi, Z. L. Horváth, G. Szabó, Zs. Bor, F. K. Tittel, J. R. Cavallaro, and M. C. Smayling, "Generation of diffraction-free beams for applications in optical microlithography," J. Vac. Sci. Technol. B 15, 287-292 (1997).
[CrossRef]

Opt. Acta (4)

H. Dammann and E. Klotz, "Coherent optical generation and inspection of two-dimensional periodic structures," Opt. Acta 24, 505-515 (1977).

G. Indebetouw, "Self-imaging through a Fabry-Perot interferometer," Opt. Acta 30, 1463-1471 (1983).

G. Indebetouw, "Propagation of spatially periodic wave fields," Opt. Acta 31, 531-539 (1984).

A. W. Lohmann, J. Ojeda-Castañeda, and N. Streibl, "Spatial periodicities in coherent and partially coherent fields," Opt. Acta 30, 1259-1266 (1983).

Opt. Commun. (7)

P. Szwaykowski and J. Ojeda-Castañeda, "Nondiffracting beams and the self-imaging phenomenon," Opt. Commun. 83, 1-4 (1991).
[CrossRef]

J. Jahns, H. Knuppertz, and A. W. Lohmann, "Montgomery self-imaging effect using computer-generated diffractive optical elements," Opt. Commun. 225, 13-17 (2003).
[CrossRef]

H. Dammann and K. Gortler, "High-efficiency in-line multiple imaging by means of multiple phase holograms," Opt. Commun. 3, 312-315 (1971).
[CrossRef]

Z. Bouchal and J. Wagner, "Self-reconstruction effect in free propagation of wave field," Opt. Commun. 176, 299-307 (2000).
[CrossRef]

J. Wagner and Z. Bouchal, "Experimental realization of self-reconstruction of the 2D aperiodic objects," Opt. Commun. 176, 309-311 (2000).

A. G. Sedukhin, "Periodically focused propagation-invariant beams with sharp central peak," Opt. Commun. 228, 231-247 (2003).

A. G. Sedukhin, "Generalized periodically focused beams and multiple on-axis lens imaging," Opt. Commun. 229, 39-57 (2004).

Opt. Express (1)

Opt. Lett. (1)

Optik (Stuttgart) (1)

G. Indebetouw, "Unfocused optical correlator. Part 2: Fabry-Perot prefiltering," Optik (Stuttgart) 59, 287-302 (1981).

Philos. Mag. (1)

H. F. Talbot, "Facts relating to optical science," Philos. Mag. 9, 401-407 (1836).

Phys. Rev. Lett. (1)

J. Durnin, J. J. Miceli, Jr., and J. H. Eberly, "Diffraction-free beams," Phys. Rev. Lett. 58, 1499-1501 (1987).
[CrossRef]

Pure Appl. Opt. (1)

J. Turunen and A. T. Friberg, "Self-imaging and propagation-invariance in electromagnetic fields," Pure Appl. Opt. 2, 51-60 (1993).
[CrossRef]

Tech. Phys. Lett. (1)

S. Khonina, V. Kotlyar, and V. Soifer, "Self-reproduction of multimode Hermite-Gaussian beams," Tech. Phys. Lett. 25, 489-491 (1999).
[CrossRef]

Other (3)

K. Patorski, "The self-imaging phenomenon and its applications," in Progress in Optics, E.Wolf, ed. (North-Holland, 1989), Vol. 27, pp. 1-108.

V. V. Cherkashin, A. G. Poleshchuk, and A. G. Sedukhin, "Experimental examination of self-imaging effect with the use of a diffractive multifocal lens," in EOS Topical Meeting Diffractive Optics 2005 (European Optical Society, 2005), pp. 70-71.

A. G. Michette, Optical Systems for Soft X Rays (Plenum, 1986).

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