Abstract

We describe Talbot array illuminators that generate, at fractions of the Talbot distance, arrays of bright spots with optimum compression ratio. We compare the performance of these Talbot array illuminators with that of an array of parabolic lenses.

© 1996 Optical Society of America

Full Article  |  PDF Article

References

  • View by:
  • |
  • |
  • |

  1. J. M. Cowley, A. F. Moodie, Proc. Phys. Soc. London Ser. B 76, 378 (1960).
  2. T. Winthrop, C. R. Worthington, J. Opt. Soc. Am. 55, 373 (1965).
    [CrossRef]
  3. J. P. Guigay, Opt. Acta 18, 677 (1971).
    [CrossRef]
  4. A. W. Lohmann, Optik 79, 41 (1988).
  5. J. R. Leger, G. J. Swanson, Opt. Lett. 15, 288 ( 1990).
    [CrossRef] [PubMed]
  6. V. Arrizón, J. Ojeda-Castañeda, Appl. Opt. 33,5925 (1994).
    [CrossRef] [PubMed]
  7. V. Arrizón, Opt. Lett. 18, 1205 (1993).
    [CrossRef] [PubMed]

1994

1993

1990

1988

A. W. Lohmann, Optik 79, 41 (1988).

1971

J. P. Guigay, Opt. Acta 18, 677 (1971).
[CrossRef]

1965

1960

J. M. Cowley, A. F. Moodie, Proc. Phys. Soc. London Ser. B 76, 378 (1960).

Arrizón, V.

Cowley, J. M.

J. M. Cowley, A. F. Moodie, Proc. Phys. Soc. London Ser. B 76, 378 (1960).

Guigay, J. P.

J. P. Guigay, Opt. Acta 18, 677 (1971).
[CrossRef]

Leger, J. R.

Lohmann, A. W.

A. W. Lohmann, Optik 79, 41 (1988).

Moodie, A. F.

J. M. Cowley, A. F. Moodie, Proc. Phys. Soc. London Ser. B 76, 378 (1960).

Ojeda-Castañeda, J.

Swanson, G. J.

Winthrop, T.

Worthington, C. R.

Appl. Opt.

J. Opt. Soc. Am.

Opt. Acta

J. P. Guigay, Opt. Acta 18, 677 (1971).
[CrossRef]

Opt. Lett.

Optik

A. W. Lohmann, Optik 79, 41 (1988).

Proc. Phys. Soc. London Ser. B

J. M. Cowley, A. F. Moodie, Proc. Phys. Soc. London Ser. B 76, 378 (1960).

Cited By

OSA participates in CrossRef's Cited-By Linking service. Citing articles from OSA journals and other participating publishers are listed here.

Alert me when this article is cited.


Figures (3)

Fig. 1
Fig. 1

Two periods of the phase distribution of an optimum TAI with output planes (a) z = ZT/9 and (b) z = 8ZT/9. (c) Output irradiance pattern with a compression ratio of 9.

Fig. 2
Fig. 2

Two periods of the phase distribution of an optimum TAI with output planes (a) z = ZT/12 and (b) z = 11ZT/12. (c) Output irradiance pattern with a compression ratio of 6.

Fig. 3
Fig. 3

Two periods of the focused irradiance distribution of an array of cylindrical lenses with period d and focal distance ZT/12.

Equations (18)

Equations on this page are rendered with MathJax. Learn more.

G ( x ) = exp [ i ϕ ( x ) ] ,
u ( x , M Z T / N ) = L = 0 N 1 C ( L , M , N ) G ( x L d / N ) ,
C ( L , M , N ) = 1 N q = 0 N 1 exp [ i 2 π N q ( L M q ) ] .
C ( L , M , N ) = | C ( L , M , N ) | exp [ i ψ ( L , M , N ) ] ,
| C ( L , M , N ) | = { 1 / N for odd N and arbitray L , 2 / N for N / 2 and L both even or both odd , 0 otherwise .
ψ ( L , 1 , N ) = { ( L 2 2 N N 2 ) π , N and L both odd , L 2 2 N π , otherwise .
ψ ( L , N 1 , N ) = ψ ( L , 1 , N ) .
u ( x , M N Z T ) = 1 N L = 0 N 1 exp [ i ψ ( L , M , N ) ] × exp [ i ϕ ( x L d N ) ] .
u ( x , M N Z T ) = 2 N L = 0 N / 2 1 exp [ i ψ ( 2 L , M , N ) ] × exp [ i ϕ ( x 2 L d N ) ] .
ϕ ( x L d N ) = ψ ( L , M , N )
ϕ ( x 2 L d N ) = ψ ( 2 L , M , N )
I max = { N odd N , N / 2 even N / 2 .
Δ x = { d / N odd N , 2 d / N even N / 2 .
G ( x , y ) = exp { i [ ϕ ( x ) + ϕ ( y ) ] } .
ϕ ( x ) = N π 2 ( x d ) 2
u ( x , z = Z T / N ) = N 2 sinc [ N 2 ( x d ) ] ,
Δ x = 4 d / N ,
I max = N / 2 .

Metrics