Abstract

A method that utilizes incoherent light interferometry is used to form images through vanishingly small apertures. The method utilizes the increased channel capacity produced by reduction of spatial coherence, but in a way that improves the resolution instead of the signal-to-noise ratio.

© 1990 Optical Society of America

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References

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  1. G. Hohberg, Optik 28, 288 (1968).
  2. M. Ueda, T. T. Sato, M. Kondo, Opt. Acta 20, 403 (1973).
    [Crossref]
  3. D. Gorlitz, F. Lanzl, Opt. Commun. 20, 68 (1977).
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]

1989 (1)

A. Cunha, E. N. Leith, IEEE J. Quantum Electron. 25, 351 (1989).
[Crossref]

1987 (1)

1986 (1)

1985 (1)

1978 (2)

1977 (3)

1973 (1)

M. Ueda, T. T. Sato, M. Kondo, Opt. Acta 20, 403 (1973).
[Crossref]

1968 (1)

G. Hohberg, Optik 28, 288 (1968).

Angell, D. K.

Cunha, A.

A. Cunha, E. N. Leith, IEEE J. Quantum Electron. 25, 351 (1989).
[Crossref]

Gorlitz, D.

D. Gorlitz, F. Lanzl, Opt. Commun. 20, 68 (1977).
[Crossref]

Hohberg, G.

G. Hohberg, Optik 28, 288 (1968).

Kondo, M.

M. Ueda, T. T. Sato, M. Kondo, Opt. Acta 20, 403 (1973).
[Crossref]

Kuei, C.-P.

Lanzl, F.

D. Gorlitz, F. Lanzl, Opt. Commun. 20, 68 (1977).
[Crossref]

Leith, E. N.

Lohmann, A.

Lohmann, A. W.

Rhodes, W. T.

Sato, T. T.

M. Ueda, T. T. Sato, M. Kondo, Opt. Acta 20, 403 (1973).
[Crossref]

Stoner, W.

Ueda, M.

M. Ueda, T. T. Sato, M. Kondo, Opt. Acta 20, 403 (1973).
[Crossref]

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Figures (2)

Fig. 1
Fig. 1

Basic grating interferometer for two-channel holographic imaging.

Fig. 2
Fig. 2

Successive modifications to the interferometer of Fig. 1.

Equations (15)

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s i = s * h 1 h 2 *
S i = S ( H 1 H 2 ) ,
S i = S H 2 * .
s ( x ) = S ( f x ) exp ( 2 π f x x ) d f x ,
I ( t ) = | u 1 + u 2 | 2 ,
u 1 = S ( 0 ) exp [ j θ ( 0 , t ) ] + S ( f 1 ) exp [ j θ ( f 1 , t ) ] + ,
u 2 = exp [ j θ ( 0 , t ) ] + exp { j [ 2 π f 1 x θ ( f 1 , t ) ] } + .
{ S ( 0 ) exp [ j θ ( 0 , t ) ] + S ( f 1 ) exp [ j θ ( f 1 , t ) ] + } ( exp [ j θ ( 0 , t ) ] + exp { j [ 2 π f 1 x + θ ( f 1 , t ) ] } + ) .
S ( f k ) exp { j [ 2 π f l x + θ ( f k , t ) θ ( f l t ) ] } .
S ( f k ) exp ( j 2 π f l x ) exp { j [ θ ( f k , t ) θ ( f l t ) ] } .
S ( 0 ) + S ( f 1 ) exp ( j 2 π f 1 x ) + ,
u 1 = δ ( f x ) N ( α ) S ( α f x ) d α exp ( j 2 π f x x ) d f x = N ( α ) S ( α ) d α .
u 2 = N ( f x ) exp ( j 2 π f x x ) d f x .
u 1 u 2 * = N ( α ) S ( α ) N * ( f x ) exp ( j 2 π f x x ) d α d f x = exp { j [ θ ( α , τ ) θ ( f x , τ ) ] S ( α ) × exp ( j 2 π f x x ) d α d f x .
s ( x ) = S ( f x ) exp ( j 2 π f x x ) d f x ,

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