Abstract

We use a wavefront coding approach to control thermal defocus aberration in an IR imaging system. The design method of athermalized system using a wavefront coding technique is discussed. An athermalized long wave IR optical system, which works at temperatures ranging from 40°C to 60°C, is designed by employing a cubic phase mask. Computer simulations and the first experimental demonstration are executed to verify the performance of this wavefront coded athermalized system and to clarify the issues related to its implementation.

© 2011 Optical Society of America

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References

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G. Muyo and A. R. Harvey, Proc. SPIE 5612, 227 (2004).
[CrossRef]

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S. Mezouari and A. R. Harvey, Proc. SPIE 4442, 34 (2001).
[CrossRef]

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[CrossRef]

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[CrossRef]

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[CrossRef]

1981

T. H. Jamieson, Opt. Eng. 20, 156 (1981).

1976

Andersson, M.

Cathey, W. T.

Dowski, E. R.

Harvey, A. R.

G. Muyo, A. Singh, M. Andersson, D. Huckridge, A. Wood, and A. R. Harvey, Opt. Express 17, 21118 (2009).
[CrossRef] [PubMed]

G. Muyo and A. R. Harvey, Proc. SPIE 5612, 227 (2004).
[CrossRef]

S. Mezouari and A. R. Harvey, Proc. SPIE 4442, 34 (2001).
[CrossRef]

Huckridge, D.

Icenogle, H. W.

Jamieson, T. H.

T. H. Jamieson, Opt. Eng. 20, 156 (1981).

Kürbitz, G.

G. Kürbitz and C. ZeissProc. SPIE 1540, 612 (1991).
[CrossRef]

Mezouari, S.

S. Mezouari and A. R. Harvey, Proc. SPIE 4442, 34 (2001).
[CrossRef]

Muyo, G.

Platt, B. C.

Richardson, P.

P. Richardson, Proc. SPIE 1303, 458 (1990).
[CrossRef]

Singh, A.

Tajime, T.

Y. Tamagawa and T. Tajime, Opt. Eng. 35, 3001 (1996).
[CrossRef]

Tamagawa, Y.

Y. Tamagawa and T. Tajime, Opt. Eng. 35, 3001 (1996).
[CrossRef]

Wolfe, W. L.

Wood, A.

Zeiss, C.

G. Kürbitz and C. ZeissProc. SPIE 1540, 612 (1991).
[CrossRef]

Appl. Opt.

Opt. Eng.

Y. Tamagawa and T. Tajime, Opt. Eng. 35, 3001 (1996).
[CrossRef]

T. H. Jamieson, Opt. Eng. 20, 156 (1981).

Opt. Express

Proc. SPIE

S. Mezouari and A. R. Harvey, Proc. SPIE 4442, 34 (2001).
[CrossRef]

G. Muyo and A. R. Harvey, Proc. SPIE 5612, 227 (2004).
[CrossRef]

P. Richardson, Proc. SPIE 1303, 458 (1990).
[CrossRef]

G. Kürbitz and C. ZeissProc. SPIE 1540, 612 (1991).
[CrossRef]

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Figures (4)

Fig. 1
Fig. 1

Cubic phase mask with the optimized phase parameter 0.01298 λ at λ = 10 μm . The material of the phase mask is ZnS. The red rectangular area is the phase mask.

Fig. 2
Fig. 2

Schematic of the experimental setup and the actual experimental system.

Fig. 3
Fig. 3

In-focus MTFs at different field of views and an in-focus PSF at the field of view center under room temperature 20 ° C . Row 1: designed results. Row 2: experimental results.

Fig. 4
Fig. 4

Images of the target at different temperatures. (a) Images obtained by an ordinary LWIR optical system, (b) encoded images obtained by the wavefront coded athermalized system with the optimized phase mask, and (c) restored images obtained by using a Wiener filter, which the kernel is the experimental result of the PSF in Fig. 3. Column 1: 20 ° C , column 2: 40 ° C , and column 3: 60 ° C .

Equations (4)

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z ( I , J ) = α [ ( 2 n + 2 I 1 2 n 1 L ) 3 + ( 2 n 2 J + 1 2 n 1 L ) 3 ] ,
P t ( I , J ) = exp { j 2 π [ z ( I , J ) + M t ( I , J ) ] } ,
MTF t ( I , J ) = | FFT ( | FFT ( P t ( I , J ) ) | 2 ) | ,
min α ( t I = 1 2 n J = 1 2 n | MTF t = 20 ° C ( I , J ) MTF t ( I , J ) | ) subject to I = 1 2 n J = 1 2 n MTF t = 20 ° C ( I , J ) max ( MTF t = 20 ° C ( I , J ) ) σ ,

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