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References

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  1. J. Ojeda-Castaneda, S. Guel-Sandoval, Appl. Opt. 18, 3550 (1979).
    [Crossref] [PubMed]
  2. G. W. Stroke, Appl. Phys. Lett. 6, 201 (1965).
    [Crossref]
  3. S. Guel-Sandoval, J. Ojeda-Castaneda, Appl. Opt. 18, 950 (1979).
    [Crossref] [PubMed]

1979 (2)

1965 (1)

G. W. Stroke, Appl. Phys. Lett. 6, 201 (1965).
[Crossref]

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Figures (3)

Fig. 1
Fig. 1

(a) Hologram recording. (b) Hologram reconstruction.

Fig. 2
Fig. 2

Setup employed to obtain an HLFT only by wavelength variation. The hologram was recorded with λ0 = 514.5 nm and reconstructed simultaneously with λ′ = 632.8 nm and λ = 476.5 nm. The axial and the lateral positions of the HLFTs were found to be given accurately by Eqs. (7) and (8), respectively.

Fig. 3
Fig. 3

Experimental results showing, on-axis, the object illuminated by λ and λ′ (see Fig. 2) and, off-axis, the defocused image or the HLFT: (a) HLFT for λ = 632.8 nm; (b) HLFT for λ′ = 476.5 nm.

Equations (10)

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ϕ ( x ) = ϕ 0 exp [ i π ( 2 x sin α + x 2 / R 0 ) / λ 0 ] ,
I ( x ) = K 0 A ( x ) ϕ * ( x ) ,
ψ ( x ) = ψ 0 exp [ i π ( 2 x sin β + x 2 / R 1 ) / λ ]
t ( x ) = K 1 I ( x ) ψ ( x ) .
t ( x ) = K 0 K 1 ϕ 0 ψ 0 exp [ i 2 x ( sin β / λ - sin α / λ 0 ) ] exp [ i π x 2 ( 1 / R 1 λ - 1 / R 0 λ 0 ) ] A ( x ) .
t ( x ) = K 2 exp ( i 2 π x sin γ / λ ) exp ( i π x 2 / λ R ) A ( x ) ,
sin γ = sin β - λ sin α / λ 0 ,
1 / R = 1 / R 1 - λ / R 0 λ 0 .
a ( ξ ) = - t ( x ) exp [ i π ( x - ξ ) 2 / λ R ] = K 3 - A ( x ) exp ( i 2 π x ξ / λ R ) d x .
1 / R = ( 1 - λ / λ 0 ) / R 0 .

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