Abstract

The improved method for calculation of a phase hologram and its application to laser writing of waveguides with a spatial light modulator are presented. It was found that the amplitude and phase distributions of light spots generated by a phase hologram can be distorted compared to those of a focused single beam. The distortion of light spots could be reduced by adding a simple constraint, in which light intensities around a light spot should be as small as possible, to the conventional calculation method of a phase hologram. It was also demonstrated that the improved calculation method can be considered essential for laser writing of waveguides.

© 2011 Optical Society of America

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References

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2010 (1)

2009 (3)

2008 (1)

2007 (1)

2005 (1)

Y. Hayasaki, T. Sugimoto, A. Takita, and N. Nishida, Appl. Phys. Lett. 87031101 (2005).
[CrossRef]

2003 (1)

S. Nolte, M. Will, J. Burghoff, and A Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

2001 (2)

1996 (1)

1994 (1)

1972 (1)

R. W. Gerchberg and W. O. Saxton, Optik 35237 (1972).

Audouard, E.

Belini, N.

Bengtsson, J.

Brodeur, A.

Burghoff, J.

S. Nolte, M. Will, J. Burghoff, and A Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Cerullo, G.

Chen, W. J.

Cheng, G.

Davis, K. M.

Eaton, S. M.

Emons, M.

Fujimoto, J. G.

Garcia, J. F.

Gerchberg, R. W.

R. W. Gerchberg and W. O. Saxton, Optik 35237 (1972).

Hartl, I.

Hayasaki, Y.

Y. Hayasaki, T. Sugimoto, A. Takita, and N. Nishida, Appl. Phys. Lett. 87031101 (2005).
[CrossRef]

Herman, P. R.

Hertel, I. V.

Hirao, K.

Huot, N.

Ianni, F.

Iizuka, K.

K. Iizuka, Engineering Optics (Springer-Verlag, 1985).

Ippen, E. P.

Kowalevicz, A. M.

Leonardo, R. D.

Mauclair, C.

Mazur, E.

Minoshima, K.

Miura, K.

Morgner, U.

Nishida, N.

Y. Hayasaki, T. Sugimoto, A. Takita, and N. Nishida, Appl. Phys. Lett. 87031101 (2005).
[CrossRef]

Nolte, S.

S. Nolte, M. Will, J. Burghoff, and A Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Osellame, R.

Palmer, G.

Pospiech, M.

Rosenfeld, A.

Ruocco, G.

Sakakura, M.

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Opt. Express 18, 12136 (2010).
[CrossRef] [PubMed]

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Jpn. J. Appl. Phys. 48, 126507 (2009).
[CrossRef]

Sawano, T.

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Opt. Express 18, 12136 (2010).
[CrossRef] [PubMed]

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Jpn. J. Appl. Phys. 48, 126507 (2009).
[CrossRef]

Saxton, W. O.

R. W. Gerchberg and W. O. Saxton, Optik 35237 (1972).

Schaffer, C. B.

Shimotsuma, Y.

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Opt. Express 18, 12136 (2010).
[CrossRef] [PubMed]

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Jpn. J. Appl. Phys. 48, 126507 (2009).
[CrossRef]

Steinmann, A.

Stoian, R.

Sugimoto, N.

Sugimoto, T.

Y. Hayasaki, T. Sugimoto, A. Takita, and N. Nishida, Appl. Phys. Lett. 87031101 (2005).
[CrossRef]

Takita, A.

Y. Hayasaki, T. Sugimoto, A. Takita, and N. Nishida, Appl. Phys. Lett. 87031101 (2005).
[CrossRef]

Tuennermann, A

S. Nolte, M. Will, J. Burghoff, and A Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Will, M.

S. Nolte, M. Will, J. Burghoff, and A Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Zhang, H.

Appl. Opt. (1)

Appl. Phys. A (1)

S. Nolte, M. Will, J. Burghoff, and A Tuennermann, Appl. Phys. A 77, 109 (2003).
[CrossRef]

Appl. Phys. Lett. (1)

Y. Hayasaki, T. Sugimoto, A. Takita, and N. Nishida, Appl. Phys. Lett. 87031101 (2005).
[CrossRef]

Jpn. J. Appl. Phys. (1)

M. Sakakura, T. Sawano, Y. Shimotsuma, K. Miura, and K. Hirao, Jpn. J. Appl. Phys. 48, 126507 (2009).
[CrossRef]

Opt. Express (5)

Opt. Lett. (3)

Optik (1)

R. W. Gerchberg and W. O. Saxton, Optik 35237 (1972).

Other (1)

K. Iizuka, Engineering Optics (Springer-Verlag, 1985).

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Figures (4)

Fig. 1
Fig. 1

Experimental setup for holographic writing of multiple waveguides with an SLM. L1 and L2 are lenses ( f = 500 mm and 150 mm , respectively), and MP is a thin stainless steel plate.

Fig. 2
Fig. 2

(a), (b) Light spot patterns A and B, respectively. The numbers #1, #2, and #3 indicate the nearest light spots for evaluating the light distribution in detail. (c), (d) Holograms calculated by the ORA method to generate the light pattern A and B, respectively.

Fig. 3
Fig. 3

(a), (b) Amplitude and phase distributions of three light spots #1, #2, and #3 calculated by holograms A and B, respectively. (c), (d) Upper: cross sections of the waveguides written using hologram A and B, respectively. Lower: near-field patterns of the light guided through the waveguides.

Fig. 4
Fig. 4

(a) Phase hologram calculated by the modified ORA method to generate the light spot distribution of pattern B. (b) The amplitude and phase distributions in the three light spots from hologram A. (c) Cross section of the waveguides written by the light spots generated by hologram A, and the near-field patterns of the light guided through the waveguides.

Equations (3)

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E ( R k ) n { F ( r n ) * exp ( j Δ ϕ ( r n ) + j 2 π r n · R k λ f ) } ,
S = k W k | E ( R k ) | ,
S = k W k | E ( R k ) | k , Δ R W k , Δ R | E ( R k + Δ R ) | ,

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