Abstract

The depth of field of an infinity-corrected microscope system is greatly extended by simply applying a specially designed phase mask between the objective and the tube lens. In comparison with the method of modifying the structure of objective, it is more cost effective and provides improved flexibility for assembling the system. Instead of using an ideal optical system for simulation which was the focus of the previous research, a practical wavefront-coded infinity-corrected microscope system is designed in this paper by considering the various aberrations. Two new optimization methods, based on the commercial optical design software, are proposed to design a wavefront-coded microscope using a non-symmetric phase mask and a symmetric phase mask, respectively. We use polynomial phase mask and rational phase mask as examples of the non-symmetric and symmetric phase masks respectively. Simulation results show that both optimization methods work well for a 32 × infinity-corrected microscope system with 0.6 numerical aperture. The depth of field is extended to about 13 times of the traditional one.

© 2013 OSA

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References

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    [CrossRef]
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    [CrossRef]
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    [CrossRef]

2013 (1)

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

2012 (1)

2011 (1)

2010 (1)

G. Carles, A. Carnicer, and S. Bosch, “Phase mask selection in wavefront coding systems: A design approach,” Opt. Commun.48, 779–785 (2010).

2009 (1)

2007 (2)

Q. Yang, L. Liu, and J. Sun, “Optimized phase pupil masks for extended depth of field,” Opt. Commun.272(1), 56–66 (2007).
[CrossRef]

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

2004 (1)

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

2003 (1)

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

1995 (1)

Bosch, S.

G. Carles, A. Carnicer, and S. Bosch, “Phase mask selection in wavefront coding systems: A design approach,” Opt. Commun.48, 779–785 (2010).

Carles, G.

G. Carles, A. Carnicer, and S. Bosch, “Phase mask selection in wavefront coding systems: A design approach,” Opt. Commun.48, 779–785 (2010).

Carnicer, A.

G. Carles, A. Carnicer, and S. Bosch, “Phase mask selection in wavefront coding systems: A design approach,” Opt. Commun.48, 779–785 (2010).

Cathey, W. T.

Chen, S.

Dong, L.

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

Dowski, E. R.

Fan, Z.

Huang, W.

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

Hui, M.

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

Jia, W.

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

Li, G.

Liu, L.

Q. Yang, L. Liu, and J. Sun, “Optimized phase pupil masks for extended depth of field,” Opt. Commun.272(1), 56–66 (2007).
[CrossRef]

Liu, M.

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

Pauca, V. P.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

Plemmons, R. J.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

Prasad, S.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

Sun, J.

Q. Yang, L. Liu, and J. Sun, “Optimized phase pupil masks for extended depth of field,” Opt. Commun.272(1), 56–66 (2007).
[CrossRef]

Torgersen, T. C.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

van der Gracht, J.

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

Wang, D.

Wang, S.

Xiao, H.

Xu, Z.

Yang, Q.

Q. Yang, L. Liu, and J. Sun, “Optimized phase pupil masks for extended depth of field,” Opt. Commun.272(1), 56–66 (2007).
[CrossRef]

Ye, R.

Ye, Z.

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

Yu, F.

T. Zhao and F. Yu, “Point spread function analysis of a cubic phase wavefront coding system with a circular pupil,” Opt. Express20(3), 2408–2419 (2012).
[CrossRef] [PubMed]

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

Zhang, H.

Zhang, W.

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

Zhao, T.

T. Zhao and F. Yu, “Point spread function analysis of a cubic phase wavefront coding system with a circular pupil,” Opt. Express20(3), 2408–2419 (2012).
[CrossRef] [PubMed]

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

Zhao, Y.

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

Zhou, F.

Zuo, B.

Appl. Opt. (1)

J. Opt. Soc. Am. A (1)

Opt. Commun. (3)

Q. Yang, L. Liu, and J. Sun, “Optimized phase pupil masks for extended depth of field,” Opt. Commun.272(1), 56–66 (2007).
[CrossRef]

G. Carles, A. Carnicer, and S. Bosch, “Phase mask selection in wavefront coding systems: A design approach,” Opt. Commun.48, 779–785 (2010).

M. Liu, L. Dong, Y. Zhao, M. Hui, and W. Jia, “Stationary phase analysis of generalized cubic phase mask wavefront coding,” Opt. Commun.298–299, 67–74 (2013).
[CrossRef]

Opt. Express (1)

Opt. Lett. (1)

Proc. SPIE (3)

T. Zhao, Z. Ye, W. Zhang, W. Huang, and F. Yu, “Design of objective lenses to extend the depth of field based on wavefront coding,” Proc. SPIE6834, 683414, 683414-8 (2007).
[CrossRef]

S. Prasad, V. P. Pauca, R. J. Plemmons, T. C. Torgersen, and J. van der Gracht, “Pupil-phase optimization for extended-focus, aberration-corrected imaging systems,” Proc. SPIE5559, 335–345 (2004).
[CrossRef]

S. Prasad, T. C. Torgersen, V. P. Pauca, R. J. Plemmons, and J. van der Gracht, “Engineering the pupil phase to improve image quality,” Proc. SPIE5108, 1–12 (2003).
[CrossRef]

Other (2)

M. Born and E. Wolf, Principles of Optics, 6th ed. (Oxford: Pergamon Press, 1980).

Zemax 12 Optical design program user’s manual (Radiant Zemax, 2012).

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Figures (3)

Fig. 1
Fig. 1

(a) Schematic drawing of a wavefront-coded infinity-corrected microscope system; (b) The structure of an infinity-corrected objective lens.

Fig. 2
Fig. 2

MTF curves of the wavefront-coded microscope system with the specially designed polynomial phase mask at different object distances: (a) 0.355mm; (b) 0.358mm; (c) 0.362mm; (d) 0.365mm.

Fig. 3
Fig. 3

MTF curves of the wavefront-coded microscope system with rational phase mask at different object distances: (a) 0.358mm; (b) 0.361mm; (c) 0.364mm; (d) 0.367mm.

Tables (2)

Tables Icon

Table 1 Coefficients of the optimized polynomial phase mask

Tables Icon

Table 2 Coefficients of the optimized rational phase mask

Equations (11)

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E= j=1 N v i=1 N u w( i,j ) n=1 N F m=1 N o [ MTF( D o ( m ),F( n ),u( i ),v( j ) ) MTF ¯ ( u( i ),v( j ) ) ] 2 N F N o j=1 N v i=1 N u w( i,j ) ,
MTF ¯ ( u( i ),v( j ) )= 1 N F N o n=1 N F m=1 N o MTF( D o ( m ),F( n ),u( i ),v( j ) ).
P(m,n)={ P 0 min i,j MTF( D o ( m ),F( n ),u( i ),v( j ) )T 0otherwise ,
E'=E+ w p n N F m N o P(m,n) .
z( x,y )= n=2 k m=0 n C m( nm ) x m y nm ,
ξ( m )= 1 N w N r n N w i N r [ Δ( D o ( m ),W(n),r( i ) ) Δ ¯ ( D o ( m ) ) ] 2 ,
Δ ¯ ( D o ( m ) )= 1 N w N r n N w i N r Δ( D o ( m ),W(n),r( i ) ) .
E= 1 N o m N o [ ξ( m ) ξ ¯ ] 2 ,
P= j=1 N j i=1 N i MT F 0 ( u( i ),v( j ) ) 1 N F N o j=1 N j i=1 N i n=1 N F m=1 N o MTF( D o ( m ),F( n ),u( i ),v( j ) ) ,
E'=E+ w p P.
z( r )= i=0 N p i r i i=0 N q i r i ,

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