Abstract

We have combined the flexibility of computer-generated binary holograms with the high optical quality of dichromated gelatin holography to fabricate a range of efficient, wide-bandwidth, and compact space-invariant fanout elements. Our approach is based on a certain novel coherent spatial filtering technique, termed the inverse central dark ground method, which permits the use of a binary-amplitude hologram corresponding to the desired binary-phase profile in the object arm of the interferometric recording setup.

© 1990 Optical Society of America

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References

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  1. J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).
  2. H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
    [CrossRef]
  3. R. C. Fairchild, J. R. Fienup, Opt. Eng. 21, 133 (1982).
  4. H. Bartelt, S. K. Case, Appl. Opt. 21, 2886 (1982).
    [CrossRef] [PubMed]
  5. B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Appl. Opt. 29, 1134 (1990).
    [CrossRef] [PubMed]
  6. B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).
  7. L. Wang, W. Z. Geng, R. K. Kostuk, Proc. Soc. Photo-Opt. Instrum. Eng. 1052, 97 (1989).
  8. B. J. Chang, C. D. Leonard, Appl. Opt. 18, 2407 (1979).
    [CrossRef] [PubMed]
  9. J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
    [CrossRef]
  10. R. L. Morrison, S. L. Walker, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper TuFF6.
  11. M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

1990

1989

J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).

L. Wang, W. Z. Geng, R. K. Kostuk, Proc. Soc. Photo-Opt. Instrum. Eng. 1052, 97 (1989).

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

1988

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

1982

R. C. Fairchild, J. R. Fienup, Opt. Eng. 21, 133 (1982).

H. Bartelt, S. K. Case, Appl. Opt. 21, 2886 (1982).
[CrossRef] [PubMed]

1979

1971

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Bartelt, H.

Case, S. K.

Chang, B. J.

Dammann, H.

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Fagerholm, J.

J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).

Fairchild, R. C.

R. C. Fairchild, J. R. Fienup, Opt. Eng. 21, 133 (1982).

Fienup, J. R.

R. C. Fairchild, J. R. Fienup, Opt. Eng. 21, 133 (1982).

Geng, W. Z.

L. Wang, W. Z. Geng, R. K. Kostuk, Proc. Soc. Photo-Opt. Instrum. Eng. 1052, 97 (1989).

Gortler, K.

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Jin, G.

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

Kostuk, R. K.

L. Wang, W. Z. Geng, R. K. Kostuk, Proc. Soc. Photo-Opt. Instrum. Eng. 1052, 97 (1989).

Leonard, C. D.

Morrison, R. L.

R. L. Morrison, S. L. Walker, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper TuFF6.

Redmond, I. R.

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

Robertson, B.

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Appl. Opt. 29, 1134 (1990).
[CrossRef] [PubMed]

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).

Salin, A.

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

Smith, S. D.

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

Taghizadeh, M. R.

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Appl. Opt. 29, 1134 (1990).
[CrossRef] [PubMed]

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).

Turunen, J.

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Appl. Opt. 29, 1134 (1990).
[CrossRef] [PubMed]

J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

Vasara, A.

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Appl. Opt. 29, 1134 (1990).
[CrossRef] [PubMed]

J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

Walker, A. C.

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

Walker, S. L.

R. L. Morrison, S. L. Walker, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper TuFF6.

Wang, L.

L. Wang, W. Z. Geng, R. K. Kostuk, Proc. Soc. Photo-Opt. Instrum. Eng. 1052, 97 (1989).

Westerholm, J.

J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

Appl. Opt.

J. Phys. D

J. Turunen, A. Vasara, J. Westerholm, A. Salin, G. Jin, J. Phys. D 21, S102 (1988).
[CrossRef]

Opt. Commun.

H. Dammann, K. Gortler, Opt. Commun. 3, 312 (1971).
[CrossRef]

Opt. Eng.

R. C. Fairchild, J. R. Fienup, Opt. Eng. 21, 133 (1982).

Proc. Inst. Electr. Eng.

B. Robertson, M. R. Taghizadeh, J. Turunen, A. Vasara, Proc. Inst. Electr. Eng. 311, 200 (1989).

Proc. Soc. Photo-Opt. Instrum. Eng.

L. Wang, W. Z. Geng, R. K. Kostuk, Proc. Soc. Photo-Opt. Instrum. Eng. 1052, 97 (1989).

J. Fagerholm, J. Turunen, A. Vasara, J. Westerholm, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 253 (1989).

M. R. Taghizadeh, I. R. Redmond, B. Robertson, A. C. Walker, S. D. Smith, Proc. Soc. Photo-Opt. Instrum. Eng. 1136, 261 (1989).

Other

R. L. Morrison, S. L. Walker, in Digest of Optical Society of America Annual Meeting (Optical Society of America, Washington, D.C., 1989), paper TuFF6.

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Figures (3)

Fig. 1
Fig. 1

Schematic of the experimental setup.

Fig. 2
Fig. 2

(a) Array generated by a 1 × 14 binary-amplitude Dammann grating; (b) array generated by the DCG copy.

Fig. 3
Fig. 3

(a) Array generated by a 14 × 14 binary-amplitude Dammann grating; (b) array generated by the DCG copy.

Equations (8)

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G a ( m ) = 0 1 T ( x ) exp ( i 2 πmx ) d x ,
G p ( m ) = 0 1 exp [ ( x ) i 2 πmx ] d x .
G p ( m ) = 1 η S ( m ) G a ( m ) .
G p ( m ) = 2 G a ( m ) sin θ
G p ( 0 ) = [ 2 G a ( 0 ) 1 ] sin θ + i cos θ
S ( m ) = 2 η sin θ
S ( 0 ) = η G a ( 0 ) { [ 2 G a ( 0 ) 1 ] sin θ + i cos θ } .
S ( 0 ) = 1 1 2 G a ( 0 ) ,

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