Abstract

We describe a technique that uses complex field holograms to project three-dimensional light patterns. Holographic projection commonly uses phase-only encoding since accurately representing complex holograms using both amplitude and phase spatial light modulators reduces the optical throughput significantly. Here, we use a lossless projection via the generalized phase contrast method to produce the necessary amplitude pattern required for complex field holographic projection. We numerically evaluate the technique and demonstrate high optical throughput with reduced undesired high diffraction orders.

© 2011 Optical Society of America

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  1. J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
    [CrossRef]
  2. J. E. Curtis, B. A. Koss, D. G. Grier, Opt. Commun. 207, 169 (2002).
    [CrossRef]
  3. R. L. Eriksen, V. R. Daria, J. Glückstad, Opt. Express 10, 597 (2002).
    [PubMed]
  4. P. J. Rodrigo, V. R. Daria, J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
    [CrossRef]
  5. G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
    [CrossRef]
  6. V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
    [CrossRef]
  7. C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
    [CrossRef]
  8. D. Palima, V. R. Daria, Appl. Opt. 45, 6689 (2006).
    [CrossRef] [PubMed]
  9. J. Glückstad, “Phase contrast imaging,” U. S.patent6,011,874 (January 4, 2000).
  10. J. Glückstad, P. Mogensen, Appl. Opt. 40, 268 (2001).
    [CrossRef]
  11. H. Bartelt, Appl. Opt. 23, 1499 (1984).
    [CrossRef] [PubMed]
  12. J. Gluckstad, “Generation of desired three-dimensional electromagnetic field,” WIPOPatentWO 2005/096115 (2005).
  13. J. Gluckstad, D. Palima, P. J. Rodrigo, C. A. Alonzo, Opt. Lett. 32, 3281 (2007).
    [CrossRef] [PubMed]
  14. M. J. Romero, V. R. Daria, Opt. Commun. 280, 237 (2007).
    [CrossRef]
  15. A. Jessacher, C. Maurer, A. Schwaighofer, S. Bernet, M. Ritsch-Marte, Opt. Express 16, 2597 (2008).
    [CrossRef]

2009 (2)

G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
[CrossRef]

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

2008 (2)

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

A. Jessacher, C. Maurer, A. Schwaighofer, S. Bernet, M. Ritsch-Marte, Opt. Express 16, 2597 (2008).
[CrossRef]

2007 (2)

2006 (1)

2005 (1)

P. J. Rodrigo, V. R. Daria, J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

2002 (2)

J. E. Curtis, B. A. Koss, D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

R. L. Eriksen, V. R. Daria, J. Glückstad, Opt. Express 10, 597 (2002).
[PubMed]

2001 (1)

2000 (1)

J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

1984 (1)

Alonzo, C. A.

Bachor, H. A.

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

Bartelt, H.

Bautista, G.

G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
[CrossRef]

Bernet, S.

Bowman, R.

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

Charpak, S.

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

Curtis, J. E.

J. E. Curtis, B. A. Koss, D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Daria, V. R.

G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
[CrossRef]

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

M. J. Romero, V. R. Daria, Opt. Commun. 280, 237 (2007).
[CrossRef]

D. Palima, V. R. Daria, Appl. Opt. 45, 6689 (2006).
[CrossRef] [PubMed]

P. J. Rodrigo, V. R. Daria, J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

R. L. Eriksen, V. R. Daria, J. Glückstad, Opt. Express 10, 597 (2002).
[PubMed]

DeSars, V.

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

DiGregorio, D.

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

Emiliani, V.

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

Eriksen, R. L.

Gluckstad, J.

J. Gluckstad, D. Palima, P. J. Rodrigo, C. A. Alonzo, Opt. Lett. 32, 3281 (2007).
[CrossRef] [PubMed]

J. Gluckstad, “Generation of desired three-dimensional electromagnetic field,” WIPOPatentWO 2005/096115 (2005).

Glückstad, J.

P. J. Rodrigo, V. R. Daria, J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

R. L. Eriksen, V. R. Daria, J. Glückstad, Opt. Express 10, 597 (2002).
[PubMed]

J. Glückstad, P. Mogensen, Appl. Opt. 40, 268 (2001).
[CrossRef]

J. Glückstad, “Phase contrast imaging,” U. S.patent6,011,874 (January 4, 2000).

Grier, D. G.

J. E. Curtis, B. A. Koss, D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Haist, T.

J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Jessacher, A.

Koss, B. A.

J. E. Curtis, B. A. Koss, D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

Liesener, J.

J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Lutz, C.

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

Maurer, C.

Mogensen, P.

Otis, T.

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

Palima, D.

Redman, S.

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

Reichester, M.

J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Ritsch-Marte, M.

Rodrigo, P. J.

J. Gluckstad, D. Palima, P. J. Rodrigo, C. A. Alonzo, Opt. Lett. 32, 3281 (2007).
[CrossRef] [PubMed]

P. J. Rodrigo, V. R. Daria, J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

Romero, M. J.

G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
[CrossRef]

M. J. Romero, V. R. Daria, Opt. Commun. 280, 237 (2007).
[CrossRef]

Schwaighofer, A.

Stricker, C.

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

Tapang, G.

G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
[CrossRef]

Tiziani, H. J.

J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

Appl. Opt. (3)

Appl. Phys. Lett. (2)

V. R. Daria, C. Stricker, R. Bowman, S. Redman, H. A. Bachor, Appl. Phys. Lett. 95, 093701 (2009).
[CrossRef]

P. J. Rodrigo, V. R. Daria, J. Glückstad, Appl. Phys. Lett. 86, 074103 (2005).
[CrossRef]

Nat. Methods (1)

C. Lutz, T. Otis, V. DeSars, S. Charpak, D. DiGregorio, V. Emiliani, Nat. Methods 5, 821 (2008).
[CrossRef]

Opt. Commun. (4)

G. Bautista, M. J. Romero, G. Tapang, V. R. Daria, Opt. Commun. 282, 3746 (2009).
[CrossRef]

J. Liesener, M. Reichester, T. Haist, H. J. Tiziani, Opt. Commun. 185, 77 (2000).
[CrossRef]

J. E. Curtis, B. A. Koss, D. G. Grier, Opt. Commun. 207, 169 (2002).
[CrossRef]

M. J. Romero, V. R. Daria, Opt. Commun. 280, 237 (2007).
[CrossRef]

Opt. Express (2)

Opt. Lett. (1)

Other (2)

J. Gluckstad, “Generation of desired three-dimensional electromagnetic field,” WIPOPatentWO 2005/096115 (2005).

J. Glückstad, “Phase contrast imaging,” U. S.patent6,011,874 (January 4, 2000).

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Figures (3)

Fig. 1
Fig. 1

Geometry of combined system for full complex field holographic projection using the GPC method for optimal projection of the amplitude profile.

Fig. 2
Fig. 2

Holographic projection using (a) a phase-only encoding and a complex field with a (b) normalized amplitude pattern and (c) similar pattern produced via the GPC method, and intensity distributions showing four foci at the output using (d) phase-only and complex hologram encoding with a (e) lossy and (f) optimal GPC-generated amplitude pattern.

Fig. 3
Fig. 3

(a) Normalized optical throughput and (b) ratio of highest second order peak, I 2 , to mean first order peak, I 1 , comparing phase-only and complex hologram encoding using a lossy amplitude modulator and the GPC method.

Equations (5)

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

h ( u , v ) = 1 N i N 1 exp ( i 2 π λ ( NA R ( u x i + v y i ) + ( 2 NA r R ) 2 z i ) ) = a ( u , v ) exp ( i ϕ ( u , v ) ) ,
g ( u , v ) = I { I { A ( u , v ) exp ( i b ( u , v ) ) } · f ( x , y ) } = b ( u , v ) exp ( i δ ( u , v ) ) ,
f ( x , y ) = 1 + exp ( i θ ) circ ( ρ 1 ( x 2 + y 2 ) 1 / 2 )
h ( u , v ) = g ( u , v ) exp ( i ( ϕ ( u , v ) δ ( u , v ) ) ) .
b ( u , v ) = π ( 1 + exp ( γ ( a ( u , v ) 0.5 ) ) ) 1 ,

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