Abstract

We developed a deformable mirror with nine actuators for transformation of a laser beam intensity profile. A circular-cross-section Gaussian beam was successfully transformed into a rectangular-cross-section beam by the deformable mirror with conservation of spatial coherency.

© 1996 Optical Society of America

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References

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    [CrossRef] [PubMed]
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    [CrossRef] [PubMed]

1995 (1)

K. Nemoto, T. Fujii, M. Nagano, Proc. SPIE 2375, 103 (1995).
[CrossRef] [PubMed]

1994 (1)

K. Nemto, T. Fujii, N. Goto, Proc. SPIE 2119, 16 (1994).
[CrossRef] [PubMed]

1992 (2)

1991 (1)

C. C. Aleksoff, K. K. Ellis, B. D. Neagle, Opt. Eng. 30, 537 (1991).
[CrossRef] [PubMed]

1986 (1)

1983 (1)

1974 (1)

Aleksoff, C. C.

C. C. Aleksoff, K. K. Ellis, B. D. Neagle, Opt. Eng. 30, 537 (1991).
[CrossRef] [PubMed]

Bryngdahl, O.

Cederquist, J. N.

Eismann, M. T.

Ellis, K. K.

C. C. Aleksoff, K. K. Ellis, B. D. Neagle, Opt. Eng. 30, 537 (1991).
[CrossRef] [PubMed]

Fujii, T.

K. Nemoto, T. Fujii, M. Nagano, Proc. SPIE 2375, 103 (1995).
[CrossRef] [PubMed]

K. Nemto, T. Fujii, N. Goto, Proc. SPIE 2119, 16 (1994).
[CrossRef] [PubMed]

Goto, N.

K. Nemto, T. Fujii, N. Goto, Proc. SPIE 2119, 16 (1994).
[CrossRef] [PubMed]

Han, C. Y.

Ishii, Y.

Malyak, P. H.

Murata, K.

Nagano, M.

K. Nemoto, T. Fujii, M. Nagano, Proc. SPIE 2375, 103 (1995).
[CrossRef] [PubMed]

Neagle, B. D.

C. C. Aleksoff, K. K. Ellis, B. D. Neagle, Opt. Eng. 30, 537 (1991).
[CrossRef] [PubMed]

Nemoto, K.

K. Nemoto, T. Fujii, M. Nagano, Proc. SPIE 2375, 103 (1995).
[CrossRef] [PubMed]

Nemto, K.

K. Nemto, T. Fujii, N. Goto, Proc. SPIE 2119, 16 (1994).
[CrossRef] [PubMed]

Roberts, N. C.

Tai, A. M.

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Figures (5)

Fig. 1
Fig. 1

Surface profile of the mirror for intensity-profile transformation from a circular-cross-section Gaussian beam into a rectangular-cross-section uniform intensity beam.

Fig. 2
Fig. 2

Deformable mirror assembly for intensity-profile transformation with nine lead magnesium niobate (PMN) actuators.

Fig. 3
Fig. 3

Spatial frequency of the surface profile for intensity-profile transformation from a Gaussian beam to a rectangular beam.

Fig. 4
Fig. 4

Experimental setup.

Fig. 5
Fig. 5

Laser beam intensity profile of (a) the initial laser beam and (b) the beam after transformation.

Equations (6)

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a ( u , v ) = j k ( 2 π z ) exp ( j k z ) a ( x , y ) exp [ j ϕ ( x , y ) ] exp { j k [ ( x u ) 2 + ( y v ) 2 ] ( 2 z ) } d x d y .
S ( x , y ) x = ( u x ) 2 z , S ( x , y ) y = ( v y ) 2 z .
v ( x , y ) / x = u ( x , y ) / y .
S 0 ( t ) = 2 r 0 erf ( 2 r 0 / u 0 ) × { t erf ( 2 t / u 0 ) + u 0 2 π [ exp ( 2 t 2 u 0 2 ) 1 ] } t 2 ,
S ( x , y ) = [ S 0 ( x ) + S 0 ( y ) ] / 4 z .
F [ S ( x , y ) ] = F [ S 0 ( x ) ] δ ( n y ) + F [ S 0 ( y ) ] δ ( n x ) ,

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