Abstract

The possibility is shown of achro- and apochromatic correction of an optical system with any residual chromatism by completing the system with a diffractive–refractive hybrid corrector comprising one diffractive lens and one or two refractive lenses.

© 2006 Optical Society of America

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References

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  1. W. J. Smith, Modern Lens Design, 2nd ed. (SPIE Press, 2004).
  2. M. A. Gan, "Optical systems with holographic and kinoform elements," in Holographic Optics II: Principles and Applications, G.M. Morris, ed., Proc. SPIE 1136, 150 (1989).
  3. M. A. Gan, "Kinoforms long focal objectives for astronomy," in Adaptive Optics and Optical Structures, J.J. Schulte-in-den-Baeumen, C. Zeiss, and R.K. Tyson, eds., Proc. SPIE 1271,330-338 (1990).
  4. M. Gan, I. Potyemin, and A. Perveev, "High-speed apo-lens with kinoform element," in International Colloguium on Diffractive Optical Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 1574,243-249 (1991).
  5. G. I. Greisukh, S. T. Bobrov, and S. A. Stepanov, Optics of Diffractive and Gradient-Index Elements and Systems (SPIE Press, 1997).
  6. H. Hua, Y. Ha, and J. P. Roland, "Design of an ultralight and compact projection lens," Appl. Opt. 42, 97-107 (2003).
    [CrossRef] [PubMed]
  7. http://www.canon.com/do-info.
  8. Y. Wang, W. Yun, and C. Jacobsen, "Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging," Nature 424, 50-53 (2003).
    [CrossRef] [PubMed]
  9. G. I. Greisukh and S. A. Stepanov, "Calculation of the pseudoray path through optical systems including gradient-index and diffraction lenses," Opt. Spectrosc. 81, 638-641 (1996).
  10. http://www.focus-software.com.

2003 (2)

Y. Wang, W. Yun, and C. Jacobsen, "Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging," Nature 424, 50-53 (2003).
[CrossRef] [PubMed]

H. Hua, Y. Ha, and J. P. Roland, "Design of an ultralight and compact projection lens," Appl. Opt. 42, 97-107 (2003).
[CrossRef] [PubMed]

1996 (1)

G. I. Greisukh and S. A. Stepanov, "Calculation of the pseudoray path through optical systems including gradient-index and diffraction lenses," Opt. Spectrosc. 81, 638-641 (1996).

Bobrov, S. T.

G. I. Greisukh, S. T. Bobrov, and S. A. Stepanov, Optics of Diffractive and Gradient-Index Elements and Systems (SPIE Press, 1997).

Gan, M.

M. Gan, I. Potyemin, and A. Perveev, "High-speed apo-lens with kinoform element," in International Colloguium on Diffractive Optical Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 1574,243-249 (1991).

Gan, M. A.

M. A. Gan, "Optical systems with holographic and kinoform elements," in Holographic Optics II: Principles and Applications, G.M. Morris, ed., Proc. SPIE 1136, 150 (1989).

M. A. Gan, "Kinoforms long focal objectives for astronomy," in Adaptive Optics and Optical Structures, J.J. Schulte-in-den-Baeumen, C. Zeiss, and R.K. Tyson, eds., Proc. SPIE 1271,330-338 (1990).

Greisukh, G. I.

G. I. Greisukh and S. A. Stepanov, "Calculation of the pseudoray path through optical systems including gradient-index and diffraction lenses," Opt. Spectrosc. 81, 638-641 (1996).

G. I. Greisukh, S. T. Bobrov, and S. A. Stepanov, Optics of Diffractive and Gradient-Index Elements and Systems (SPIE Press, 1997).

Ha, Y.

Hua, H.

Jacobsen, C.

Y. Wang, W. Yun, and C. Jacobsen, "Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging," Nature 424, 50-53 (2003).
[CrossRef] [PubMed]

Perveev, A.

M. Gan, I. Potyemin, and A. Perveev, "High-speed apo-lens with kinoform element," in International Colloguium on Diffractive Optical Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 1574,243-249 (1991).

Potyemin, I.

M. Gan, I. Potyemin, and A. Perveev, "High-speed apo-lens with kinoform element," in International Colloguium on Diffractive Optical Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 1574,243-249 (1991).

Roland, J. P.

Smith, W. J.

W. J. Smith, Modern Lens Design, 2nd ed. (SPIE Press, 2004).

Stepanov, S. A.

G. I. Greisukh and S. A. Stepanov, "Calculation of the pseudoray path through optical systems including gradient-index and diffraction lenses," Opt. Spectrosc. 81, 638-641 (1996).

G. I. Greisukh, S. T. Bobrov, and S. A. Stepanov, Optics of Diffractive and Gradient-Index Elements and Systems (SPIE Press, 1997).

Wang, Y.

Y. Wang, W. Yun, and C. Jacobsen, "Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging," Nature 424, 50-53 (2003).
[CrossRef] [PubMed]

Yun, W.

Y. Wang, W. Yun, and C. Jacobsen, "Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging," Nature 424, 50-53 (2003).
[CrossRef] [PubMed]

Appl. Opt. (1)

Nature (1)

Y. Wang, W. Yun, and C. Jacobsen, "Achromatic Fresnel optics for wideband extreme-ultraviolet and X-ray imaging," Nature 424, 50-53 (2003).
[CrossRef] [PubMed]

Opt. Spectrosc. (1)

G. I. Greisukh and S. A. Stepanov, "Calculation of the pseudoray path through optical systems including gradient-index and diffraction lenses," Opt. Spectrosc. 81, 638-641 (1996).

Other (7)

http://www.focus-software.com.

http://www.canon.com/do-info.

W. J. Smith, Modern Lens Design, 2nd ed. (SPIE Press, 2004).

M. A. Gan, "Optical systems with holographic and kinoform elements," in Holographic Optics II: Principles and Applications, G.M. Morris, ed., Proc. SPIE 1136, 150 (1989).

M. A. Gan, "Kinoforms long focal objectives for astronomy," in Adaptive Optics and Optical Structures, J.J. Schulte-in-den-Baeumen, C. Zeiss, and R.K. Tyson, eds., Proc. SPIE 1271,330-338 (1990).

M. Gan, I. Potyemin, and A. Perveev, "High-speed apo-lens with kinoform element," in International Colloguium on Diffractive Optical Elements, J. Nowak and M. Zajac, eds., Proc. SPIE 1574,243-249 (1991).

G. I. Greisukh, S. T. Bobrov, and S. A. Stepanov, Optics of Diffractive and Gradient-Index Elements and Systems (SPIE Press, 1997).

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Figures (5)

Fig. 1
Fig. 1

Objective with corrector:RL, refractive lens; AS, aperture stop; DL, diffractive lens.

Fig. 2
Fig. 2

Chromatic focal shift of (a) the base objective and (b) its modified model.

Fig. 3
Fig. 3

Field aberration plots (a) for the base objective and (b) its modified model:1, at λ = λF; 2, at λ = λd; and 3, at λ = λC (solid curves, sagittal; and dashed curves, tangential shifts).

Fig. 4
Fig. 4

Distribution of the wave-front aberration within the exit pupil (a) of the base objective and (b) its modified model: solid curves, at λ = λF; long dash curves, at λ = λd; and short dash curves, at λ = λC.

Fig. 5
Fig. 5

Polychromatic diffraction MTF (a) of the base objective and (b) its modified model:at 0° (1) and at 16° half-field angle (2, 3) tangential and sagittal specifications, respectively.

Tables (2)

Tables Icon

Table 1 Design Parameters of Cooke Triplet a

Tables Icon

Table 2 Design Parameters of the Objective with a Diffractive–Refractive Corrector a

Equations (17)

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( φ D ν D + i = 1 φ R i ν R i ) h A 2 S ch ( λ min , λ max ) = 0 ,
φ D + i = 1 φ R i = Φ .
ν R = ( n λ ¯ 1 ) / ( n λ min n λ max ) ,
ν D = λ ¯ / ( λ min λ max ) .
( φ D ν D γ D + i = 1 γ R i φ R i ν R i ) h A 2 S ch ( λ min , λ ¯ ) = 0 ,
γ D = ( λ min λ ¯ ) / ( λ min λ max ) ,
γ R = ( n λ min n λ ¯ ) / ( n λ min n λ max )
φ R = φ D = ν D ν R U ν D ν R ,
U = S ch ( λ min , λ max ) / h A 2 .
ν R = ν D 1 γ R L 1 γ D L ,
φ R = ν R ( U ν D Φ ) ν D ν R ,
φ D = Φ φ R ,
L = U ν D Φ W ν D γ D Φ ,
W = S ch ( λ min , λ ¯ ) h A 2 .
Ω ( ρ ) = 1 2 π d Ψ d ρ ,
Ψ = j = 1 A j ρ 2 j .
φ D = λ A 1 / π ,

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