Abstract

A synthetic slit method is used to record the rainbow hologram of a three-dimensional diffused object directly, without any lens. By controlling the position of the synthetic slit, we use this method to produce the reconstructed image of a hologram with much larger image depth than without such control.

© 1999 Optical Society of America

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References

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  1. J. C. Wyant, “Image blur for rainbow holograms,” Opt. Lett. 1, 130–132 (1977).
    [CrossRef] [PubMed]
  2. H. Chen, “Color blur of the rainbow hologram,” Appl. Opt. 17, 3290–3293 (1978).
    [CrossRef] [PubMed]
  3. S. L. Zhuang, P. H. Ruterbusch, Y. W. Zhang, T. T. S. Yu, “Resolution and color blur of the one-step rainbow hologram,” Appl. Opt. 20, 872–877 (1981).
    [CrossRef] [PubMed]
  4. E. N. Leith, H. Chen, “Deep-image rainbow holograms,” Opt. Lett. 2, 82–84 (1978).
    [CrossRef] [PubMed]

1981

1978

1977

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Figures (3)

Fig. 1
Fig. 1

Basic recording configuration. H, holographic plate; O, objects; R, reference light.

Fig. 2
Fig. 2

Objects illuminated by two parallel beams along the horizontal direction. BS, beam splitter; M, mirror; O, objects; CL, collimating lens; SF, spatial filter; H, holographic plate.

Fig. 3
Fig. 3

(a) (b) Photograph of white-light reconstructed image of large image depth hologram.

Equations (17)

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U0x0, y0, z0; =U0x0, y0-, z0.
Uhx, y; z0; =expjkz0jλz0 -+ U0x0, y0, z0; ×expjπλz0x-x02+y-y02×dx0dy0,
Urx, y=expjπλzrx2+y-yr2.
tx, y; z0=-0/2+0/2 Ohx, y; z0; R*x, yd.
Ucx, y=expjπλzcx2+y-yc2,
Uhx, y; z0=a expjπ1λzc-1λzrx2+y2×-0/2+0/2 Uhx, y; z0; d,
ycλz0=yrλzr.
Uxs, ys; z0=exp-jkzs-jλzsexpjkz0jλz0×- a expjπ1λzc-λz0λzrxs2+ys2×--0/20/2 U0x0, y0-, z0d×expjπλz0x-x02+y-y02dx0dy0×exp-jπλzsxs-x2+ys-y2dxdy.
Uxs, ys; z0=A sin cπ0ysλzsexpjkz0×exp-jπλzs1+λz0λzsxs2+ys2×FU0x0, y0, z0ξ=-xs/λzs, η=-ys/λzs,
1zs=1zc-λλzr.
Usxs, ys=A sin c0yλzs  expjkz0exp-jπλzs×1+λz0λzsxs2+ys2FOx0, y0, z0dz0.
W=λzs/0.
α=0/zs.
Δθz0wz0+zszs,
Δθ=λz00z0+zs.
α=ΔθαE;
z0=02λ-0αE,

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