Abstract

A modified asymmetrical Czerny–Turner arrangement with a fixed plane grating is proposed to correct aberrations over a wide spectral region by analysis of the dependence of aberration correction for different wavelengths. The principle and method of aberration correction are described in detail. We compare the performance of this modified Czerny–Turner arrangement with that of the existing Czerny–Turner arrangement by using a practical Czerny–Turner imaging spectrometer example.

© 2008 Optical Society of America

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References

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  1. G. G. Chandler, “Optimization of a 4-m asymmetric Czerny-Turner spectrograph,” J. Opt. Soc. Am. 58, 895-899 (1968).
    [CrossRef]
  2. http//www. Jobin Yvon.com/OSD.htm.
  3. R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
    [CrossRef]
  4. R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
    [CrossRef]
  5. M. R. Torr and D. G. Torr, “Compact imaging spectrograph for broadband spectral simultaneity,” Appl. Opt. 34, 7888-7898(1995).
    [CrossRef] [PubMed]
  6. M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
    [CrossRef]
  7. A. B. Shafer, L. R. Megill, and L. Droppleman, “Optimization of the Czerny-Turner spectrometer,” J. Opt. Soc. Am. 54, 879-887 (1964).
    [CrossRef]
  8. F. A. Jenkins and H. E. White, Fundamental of Optics (McGraw-Hill, 1950), p. 92.
  9. ZEMAX is a trademark of Zemax Development Corporation, Bellevue, Washington 98004, USA.

2002 (1)

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

2000 (1)

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

1999 (1)

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

1995 (1)

1968 (1)

1964 (1)

Brown, C. M.

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

Brown, T. L.

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

Cardon, J. G.

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

Chandler, G. G.

Chrisp, M.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Conway, R. R.

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

Dittman, M. G.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Dixon, T.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Droppleman, L.

Flittner, D. E.

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

Frazier, D.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Heath, D. F.

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

Hilsenrath, E.

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

Janz, S. J.

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

Jenkins, F. A.

F. A. Jenkins and H. E. White, Fundamental of Optics (McGraw-Hill, 1950), p. 92.

Leitch, J. W.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

McComas, B. K.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

McPeters, R. D.

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

Megill, L. R.

Mount, G. H.

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

Philbrick, R. H.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Rodriguez, J. V.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Shafer, A. B.

Sparks, A. L.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Stevens, M. H.

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

Torr, D. G.

Torr, M. R.

Wasinger, D.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

White, H. E.

F. A. Jenkins and H. E. White, Fundamental of Optics (McGraw-Hill, 1950), p. 92.

Zasadil, S. E.

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

Zaun, N. H.

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Appl. Opt. (1)

Geophys. Res. Lett. (1)

R. D. McPeters, S. J. Janz, E. Hilsenrath, T. L. Brown, D. E. Flittner, and D. F. Heath, “The retrieval of ozone profiles from limb scatter measurements: results from the Shuttle Ozone Limb Sounding Experiment,” Geophys. Res. Lett. 27, 2597-2600 (2000).
[CrossRef]

J. Geophys. Res. (1)

R. R. Conway, M. H. Stevens, C. M. Brown, J. G. Cardon, S. E. Zasadil, and G. H. Mount, “Middle atmosphere high resolution spectrograph investigation,” J. Geophys. Res. 104, 16327-16348 (1999).
[CrossRef]

J. Opt. Soc. Am. (2)

Proc. SPIE (1)

M. G. Dittman, J. W. Leitch, M. Chrisp, J. V. Rodriguez, A. L. Sparks, B. K. McComas, N. H. Zaun, D. Frazier, T. Dixon, R. H. Philbrick, and D. Wasinger, “Limb broad-band imaging spectrometer for the NPOESS Ozone Mapping and Profiler Suite (OMPS),” Proc. SPIE 4814, 120-130 (2002).
[CrossRef]

Other (3)

F. A. Jenkins and H. E. White, Fundamental of Optics (McGraw-Hill, 1950), p. 92.

ZEMAX is a trademark of Zemax Development Corporation, Bellevue, Washington 98004, USA.

http//www. Jobin Yvon.com/OSD.htm.

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Figures (5)

Fig. 1
Fig. 1

Geometric relation between the distance L g - fc and the incident angles to the focusing mirror for different wavelength.

Fig. 2
Fig. 2

Layout of the Czerny–Turner imaging spectrometer system.

Fig. 3
Fig. 3

Spot diagrams for different fields of view with (a) a spherical and (b) a toroidal focusing mirror.

Fig. 4
Fig. 4

RMS spot radius versus wavelength.

Fig. 5
Fig. 5

MTF of the Czerny–Turner imaging spectrometer system under central and marginal wavelengths.

Tables (1)

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Table 1 Optical Parameters of the Imaging Spectrometer

Equations (12)

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W S ( max ) = ( y max ) 4 8 r 3 .
( y max ) 4 8 r 3 λ 4 .
f 256 · λ · ( F # ) 4 ,
D 256 · λ · ( F # ) 3 .
sin α 1 sin α 2 = ( r 1 r 2 ) 2 ( cos θ cos α 1 cos i cos α 2 ) 3 .
sin α 1 sin α 2 = ( r 1 r 2 ) 2 ( cos θ cos i ) 3 .
d ( sin i + sin θ ) = m λ .
f t n = ( r n / 2 ) cos α n + Δ f t n ;
f s n = ( ρ n / 2 ) sec α n + Δ f s n .
δ f = ( f s 1 f t 1 ) + ( f s 2 f t 2 ) .
| GC | sin GAC = | CA | sin CGA = r 2 sin ( π 2 + Δ ω ) = r 2 cos Δ ω ,
| GC | sin GOC = | CO | sin CGO = r 2 sin ( π 2 ) = r 2 .

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