Abstract

Fractal zone plates (FZPs), i.e., zone plates with a fractal structure, are described. The focusing properties of this new type of zone plate are compared with those of conventional Fresnel zone plates. It is shown that the axial irradiance exhibited by the FZP has self-similarity properties that can be correlated to those of the diffracting aperture.

© 2003 Optical Society of America

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  1. B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1982).
  2. C. Allain and M. Coiltre, Phys. Rev. B 33, 3566 (1986).
  3. J. Uozumi and T. Asakura, in Current Trends in Optics, J. C. Dainty, ed. (Academic, London, 1994), pp. 189–196.
  4. G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).
  5. G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).
  6. J. Courtial and M. J. Padgett, Phys. Rev. Lett. 85, 5320 (2000).
  7. O. Trabocchi, S. Granieri, and W. D. Furlan, J. Mod. Opt. 48, 1247 (2001).
  8. A. D. Jaggard and D. L. Jaggard, Opt. Commun. 158, 141 (1998).
  9. M. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).
  10. A. Boidin, J. Opt. Soc. Am. 42, 60 (1952).

2001

G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).

O. Trabocchi, S. Granieri, and W. D. Furlan, J. Mod. Opt. 48, 1247 (2001).

2000

J. Courtial and M. J. Padgett, Phys. Rev. Lett. 85, 5320 (2000).

1999

G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).

1998

A. D. Jaggard and D. L. Jaggard, Opt. Commun. 158, 141 (1998).

1996

M. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).

1986

C. Allain and M. Coiltre, Phys. Rev. B 33, 3566 (1986).

1952

Allain, C.

C. Allain and M. Coiltre, Phys. Rev. B 33, 3566 (1986).

Asakura, T.

J. Uozumi and T. Asakura, in Current Trends in Optics, J. C. Dainty, ed. (Academic, London, 1994), pp. 189–196.

Berry, M.

M. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).

Boidin, A.

Coiltre, M.

C. Allain and M. Coiltre, Phys. Rev. B 33, 3566 (1986).

Courtial, J.

J. Courtial and M. J. Padgett, Phys. Rev. Lett. 85, 5320 (2000).

Furlan, W. D.

O. Trabocchi, S. Granieri, and W. D. Furlan, J. Mod. Opt. 48, 1247 (2001).

Granieri, S.

O. Trabocchi, S. Granieri, and W. D. Furlan, J. Mod. Opt. 48, 1247 (2001).

Jaggard, A. D.

A. D. Jaggard and D. L. Jaggard, Opt. Commun. 158, 141 (1998).

Jaggard, D. L.

A. D. Jaggard and D. L. Jaggard, Opt. Commun. 158, 141 (1998).

Karman, G. P.

G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).

Klein, S.

M. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).

Mandelbrot, B. B.

B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1982).

McDonald, G. S.

G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).

G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).

New, G. H. C.

G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).

G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).

Padgett, M. J.

J. Courtial and M. J. Padgett, Phys. Rev. Lett. 85, 5320 (2000).

Trabocchi, O.

O. Trabocchi, S. Granieri, and W. D. Furlan, J. Mod. Opt. 48, 1247 (2001).

Uozumi, J.

J. Uozumi and T. Asakura, in Current Trends in Optics, J. C. Dainty, ed. (Academic, London, 1994), pp. 189–196.

Woederman, J. P.

G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).

G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).

Yates, M. A.

G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).

J. Mod. Opt.

O. Trabocchi, S. Granieri, and W. D. Furlan, J. Mod. Opt. 48, 1247 (2001).

M. Berry and S. Klein, J. Mod. Opt. 43, 2139 (1996).

J. Opt. Soc. Am.

Nature

G. P. Karman, G. S. McDonald, G. H. C. New, and J. P. Woederman, Nature 402, 138 (1999).

Opt. Commun.

G. H. C. New, M. A. Yates, J. P. Woederman, and G. S. McDonald, Opt. Commun. 193, 261 (2001).

A. D. Jaggard and D. L. Jaggard, Opt. Commun. 158, 141 (1998).

Phys. Rev. B

C. Allain and M. Coiltre, Phys. Rev. B 33, 3566 (1986).

Phys. Rev. Lett.

J. Courtial and M. J. Padgett, Phys. Rev. Lett. 85, 5320 (2000).

Other

J. Uozumi and T. Asakura, in Current Trends in Optics, J. C. Dainty, ed. (Academic, London, 1994), pp. 189–196.

B. B. Mandelbrot, The Fractal Geometry of Nature (Freeman, San Francisco, Calif., 1982).

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