Abstract

A methodology is presented for producing a Gabor zone plate by using a binary transmittance function that is distributed on the surface of the plate. The measured optical properties of such both radially and azimuthally be in agreement with those of the idealized Gabor plate that possesses a radially sinusoidal a plate are shown to transmittance function.

© 1992 Optical Society of America

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References

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  1. D. Rudolph, G. Schmal, in Proceedings of Symposium on New Techniques in Space Astronomy, F. Labuhn, R. Lust, eds. (Reidel, Dordrecht, Netherlands, 1971), Vol. 41, pp. 205–207.
  2. P. N. Keating, R. K. Mueller, T. Sawatari, J. Opt. Soc. Am. 62, 945 (1972).
    [Crossref]
  3. D. C. Pfeifer, L. D. Ferris, W. M. Yen, J. Opt. Soc. Am. 63, 91 (1973).
    [Crossref]
  4. M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
    [Crossref]
  5. M. Howells, J. Kirz, D. Sayre, Sci. Am. 264(2), 42 (1991).
    [Crossref]
  6. S. Cornbleet, Microwave Optics (Academic, New York, 1978).
  7. H. H. M. Chau, Appl. Opt. 8, 1209 (1969).
    [Crossref] [PubMed]
  8. R. Tatchyn, P. L. Csonka, I. Lindau, J. Opt. Soc. Am. B 2, 1284 (1985).
    [Crossref]
  9. B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
    [Crossref]
  10. C. E. Miles, Appl. Opt. 7, 976 (1968).
    [Crossref] [PubMed]
  11. B. J. Thompson, in Handbook of Optical Holography, H. J. Caulfield, ed. (Academic, San Diego, Calif., 1979), pp. 29–41.
  12. M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 380.

1991 (1)

M. Howells, J. Kirz, D. Sayre, Sci. Am. 264(2), 42 (1991).
[Crossref]

1990 (1)

B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
[Crossref]

1985 (2)

R. Tatchyn, P. L. Csonka, I. Lindau, J. Opt. Soc. Am. B 2, 1284 (1985).
[Crossref]

M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
[Crossref]

1973 (1)

1972 (1)

1969 (1)

1968 (1)

Born, M.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 380.

Cai, A.

B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
[Crossref]

Chau, H. H. M.

Cornbleet, S.

S. Cornbleet, Microwave Optics (Academic, New York, 1978).

Csonka, P. L.

Ferris, L. D.

Howells, M.

M. Howells, J. Kirz, D. Sayre, Sci. Am. 264(2), 42 (1991).
[Crossref]

M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
[Crossref]

Keating, P. N.

Kirz, J.

M. Howells, J. Kirz, D. Sayre, Sci. Am. 264(2), 42 (1991).
[Crossref]

M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
[Crossref]

Lindau, I.

Meyyalppan, A.

B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
[Crossref]

Miles, C. E.

Mueller, R. K.

Patt, B. E.

B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
[Crossref]

Pfeifer, D. C.

Rudolph, D.

D. Rudolph, G. Schmal, in Proceedings of Symposium on New Techniques in Space Astronomy, F. Labuhn, R. Lust, eds. (Reidel, Dordrecht, Netherlands, 1971), Vol. 41, pp. 205–207.

Sawatari, T.

Sayre, D.

M. Howells, J. Kirz, D. Sayre, Sci. Am. 264(2), 42 (1991).
[Crossref]

M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
[Crossref]

Schmal, G.

M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
[Crossref]

D. Rudolph, G. Schmal, in Proceedings of Symposium on New Techniques in Space Astronomy, F. Labuhn, R. Lust, eds. (Reidel, Dordrecht, Netherlands, 1971), Vol. 41, pp. 205–207.

Tatchyn, R.

Thompson, B. J.

B. J. Thompson, in Handbook of Optical Holography, H. J. Caulfield, ed. (Academic, San Diego, Calif., 1979), pp. 29–41.

Wade, G.

B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
[Crossref]

Wolf, E.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 380.

Yen, W. M.

Appl. Opt. (2)

J. Opt. Soc. Am. (2)

J. Opt. Soc. Am. B (1)

Nucl. Instrum. Methods A (1)

B. E. Patt, A. Meyyalppan, A. Cai, G. Wade, Nucl. Instrum. Methods A 299, 554 (1990).
[Crossref]

Phys. Today (1)

M. Howells, J. Kirz, D. Sayre, G. Schmal, Phys. Today 38(8), 22 (1985).
[Crossref]

Sci. Am. (1)

M. Howells, J. Kirz, D. Sayre, Sci. Am. 264(2), 42 (1991).
[Crossref]

Other (4)

S. Cornbleet, Microwave Optics (Academic, New York, 1978).

B. J. Thompson, in Handbook of Optical Holography, H. J. Caulfield, ed. (Academic, San Diego, Calif., 1979), pp. 29–41.

M. Born, E. Wolf, Principles of Optics (Pergamon, London, 1980), p. 380.

D. Rudolph, G. Schmal, in Proceedings of Symposium on New Techniques in Space Astronomy, F. Labuhn, R. Lust, eds. (Reidel, Dordrecht, Netherlands, 1971), Vol. 41, pp. 205–207.

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Figures (4)

Fig. 1
Fig. 1

Diagram to illustrate the zone-plate geometry and the contribution on the optical axis z that arises from an element rdrdθ on the plate.

Fig. 2
Fig. 2

Geometric arrangement of the binary absorption pattern distributed uniformly in 40 sectors for a 40-zone Gabor plate. Also shown is the detail of one sector.

Fig. 3
Fig. 3

Measured intensity along the optical axis of a 40-zone Gabor plate (triangles) compared with the theoretical distribution (solid curve) for λ = 488 nm light. The measured and theoretical results are normalized at their peak values.

Fig. 4
Fig. 4

Photographic image of a standard test object taken with a 40-zone Gabor plate with f = 0.2 m in λ = 488 nm light.

Equations (4)

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U ( z ) = ( A 0 / i λ ) 0 R N 0 2 π t ( r 2 ) exp [ - i k ( r 2 + z 2 ) 1 / 2 ] ( r 2 + z 2 ) 1 / 2 × r d r d θ .
U ( z ) = ( A 0 π / i λ z ) exp ( - i k z ) × 0 R N t ( r 2 ) exp ( - i π r 2 / λ z ) d ( r 2 ) ,
t ( r 2 ) = 1 / 2 + ( 1 / i π ) p = - p = + p - 1 exp ( - i p π r 2 / r 1 2 ) ,             p odd ,
t * ( r 2 ) = ( 1 / 2 π ) 0 2 π t ( r , θ ) d θ .

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