Abstract

A general treatment of the transfer function (TF) of spectroscopic systems is presented. The TF is expressed as a function of the delay time but not of the spatial frequency. Second, a new method for measuring the TF of spectroscopic systems with a sinusoidally modulated spectrum (SMS) is proposed, and the TF of a prism spectroscope is measured to verify the effectiveness of the method. As this new method is similar to methods of measuring the TF of ordinary imaging systems by using a spatial sine grating, the TF of spectroscopic systems is obtained from measurements of the contrast in the spectrogram of the SMS. This SMS is produced by means of a Michelson interferometer with white light. The period of the SMS can be varied by changing the path difference between two reflecting mirrors of the interferometer.

© 1981 Optical Society of America

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  1. A. Lohmann, "Contrast transfer in the grating spectrograph," Opt. Acta 6, 175–185 (1959).
  2. K. Goto and S. Morozumi, "Fourier transform formulation of optical imaging applied to the grating mounting," Appl. Opt. 10, 764–768 (1971).
  3. H. Kanamori and K. Kozima, "Correction of a spectral image formed by a plane-grating monochromator by means of optical transfer functions—a partially coherent case," Jpn. J. Appl. Phys. 14-1, 199–200 (1975).
  4. T. Katayama and A. Takahashi, "Optical transfer function for concave grating spectrometer," Mem. Def. Acad. Math. Phys. Chem. Eng. Yokosuka, Jpn. 7, 1055–1069 (1967).
  5. T. Katayama and A. Takahashi, "Optical transfer function of concave grating spectrometer based on wave optical method," Jpn. J. Appl. Phys. 9, 1509–1516 (1970).
  6. H. Kanamori and K. Kozima,"Measurement of optical transfer functions and correction of images in spectroscopic systems" in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, and E. Wiener-Avnear, eds. (Pergamon, Oxford, 1977), pp. 635–640.
  7. K. Kozima and H. Kanamori, "Measurement of optical transfer functions of spectroscopic systems (II)," Radio Image Inform. 6, 133–138 (1976) (in Japanese).
  8. K. Murata, "Instruments for the measuring of optical transfer functions," in Progress in Optics V, E. Wolf, ed. (North-Holland, Amsterdam, 1965), pp. 199–245.
  9. P. A. Jansson, "Method for determining the response function of a high-resolution infrared spectrometer," J. Opt. Soc. Am. 60, 184–191 (1970).
  10. W. H. Steel, "The defocused image of sinusoidal gratings," Opt. Acta 3, 65–74, (1956).
  11. K. D. Mielenz, "Spectroscope slit images in partially coherent light," J. Opt. Soc. Am. 57, 66–74 (1967).
  12. C. Delisle, M. Brochu, and J. M. St-Arnaud, "Etude de l'effet desparamètres d'appareil sur la décroissance de la visibilité du spectre cannelé," Can. J. Phys. 49, 2237–2249 (1971).

1976 (1)

K. Kozima and H. Kanamori, "Measurement of optical transfer functions of spectroscopic systems (II)," Radio Image Inform. 6, 133–138 (1976) (in Japanese).

1975 (1)

H. Kanamori and K. Kozima, "Correction of a spectral image formed by a plane-grating monochromator by means of optical transfer functions—a partially coherent case," Jpn. J. Appl. Phys. 14-1, 199–200 (1975).

1971 (2)

K. Goto and S. Morozumi, "Fourier transform formulation of optical imaging applied to the grating mounting," Appl. Opt. 10, 764–768 (1971).

C. Delisle, M. Brochu, and J. M. St-Arnaud, "Etude de l'effet desparamètres d'appareil sur la décroissance de la visibilité du spectre cannelé," Can. J. Phys. 49, 2237–2249 (1971).

1970 (2)

P. A. Jansson, "Method for determining the response function of a high-resolution infrared spectrometer," J. Opt. Soc. Am. 60, 184–191 (1970).

T. Katayama and A. Takahashi, "Optical transfer function of concave grating spectrometer based on wave optical method," Jpn. J. Appl. Phys. 9, 1509–1516 (1970).

1967 (2)

K. D. Mielenz, "Spectroscope slit images in partially coherent light," J. Opt. Soc. Am. 57, 66–74 (1967).

T. Katayama and A. Takahashi, "Optical transfer function for concave grating spectrometer," Mem. Def. Acad. Math. Phys. Chem. Eng. Yokosuka, Jpn. 7, 1055–1069 (1967).

1959 (1)

A. Lohmann, "Contrast transfer in the grating spectrograph," Opt. Acta 6, 175–185 (1959).

1956 (1)

W. H. Steel, "The defocused image of sinusoidal gratings," Opt. Acta 3, 65–74, (1956).

Brochu, M.

C. Delisle, M. Brochu, and J. M. St-Arnaud, "Etude de l'effet desparamètres d'appareil sur la décroissance de la visibilité du spectre cannelé," Can. J. Phys. 49, 2237–2249 (1971).

Delisle, C.

C. Delisle, M. Brochu, and J. M. St-Arnaud, "Etude de l'effet desparamètres d'appareil sur la décroissance de la visibilité du spectre cannelé," Can. J. Phys. 49, 2237–2249 (1971).

Goto, K.

Jansson, P. A.

Kanamori, H.

K. Kozima and H. Kanamori, "Measurement of optical transfer functions of spectroscopic systems (II)," Radio Image Inform. 6, 133–138 (1976) (in Japanese).

H. Kanamori and K. Kozima, "Correction of a spectral image formed by a plane-grating monochromator by means of optical transfer functions—a partially coherent case," Jpn. J. Appl. Phys. 14-1, 199–200 (1975).

H. Kanamori and K. Kozima,"Measurement of optical transfer functions and correction of images in spectroscopic systems" in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, and E. Wiener-Avnear, eds. (Pergamon, Oxford, 1977), pp. 635–640.

Katayama, T.

T. Katayama and A. Takahashi, "Optical transfer function of concave grating spectrometer based on wave optical method," Jpn. J. Appl. Phys. 9, 1509–1516 (1970).

T. Katayama and A. Takahashi, "Optical transfer function for concave grating spectrometer," Mem. Def. Acad. Math. Phys. Chem. Eng. Yokosuka, Jpn. 7, 1055–1069 (1967).

Kozima, K.

K. Kozima and H. Kanamori, "Measurement of optical transfer functions of spectroscopic systems (II)," Radio Image Inform. 6, 133–138 (1976) (in Japanese).

H. Kanamori and K. Kozima, "Correction of a spectral image formed by a plane-grating monochromator by means of optical transfer functions—a partially coherent case," Jpn. J. Appl. Phys. 14-1, 199–200 (1975).

H. Kanamori and K. Kozima,"Measurement of optical transfer functions and correction of images in spectroscopic systems" in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, and E. Wiener-Avnear, eds. (Pergamon, Oxford, 1977), pp. 635–640.

Lohmann, A.

A. Lohmann, "Contrast transfer in the grating spectrograph," Opt. Acta 6, 175–185 (1959).

Mielenz, K. D.

Morozumi, S.

Murata, K.

K. Murata, "Instruments for the measuring of optical transfer functions," in Progress in Optics V, E. Wolf, ed. (North-Holland, Amsterdam, 1965), pp. 199–245.

St-Arnaud, J. M.

C. Delisle, M. Brochu, and J. M. St-Arnaud, "Etude de l'effet desparamètres d'appareil sur la décroissance de la visibilité du spectre cannelé," Can. J. Phys. 49, 2237–2249 (1971).

Steel, W. H.

W. H. Steel, "The defocused image of sinusoidal gratings," Opt. Acta 3, 65–74, (1956).

Takahashi, A.

T. Katayama and A. Takahashi, "Optical transfer function of concave grating spectrometer based on wave optical method," Jpn. J. Appl. Phys. 9, 1509–1516 (1970).

T. Katayama and A. Takahashi, "Optical transfer function for concave grating spectrometer," Mem. Def. Acad. Math. Phys. Chem. Eng. Yokosuka, Jpn. 7, 1055–1069 (1967).

Appl. Opt. (1)

Can. J. Phys. (1)

C. Delisle, M. Brochu, and J. M. St-Arnaud, "Etude de l'effet desparamètres d'appareil sur la décroissance de la visibilité du spectre cannelé," Can. J. Phys. 49, 2237–2249 (1971).

J. Opt. Soc. Am. (2)

Jpn. J. Appl. Phys. (2)

H. Kanamori and K. Kozima, "Correction of a spectral image formed by a plane-grating monochromator by means of optical transfer functions—a partially coherent case," Jpn. J. Appl. Phys. 14-1, 199–200 (1975).

T. Katayama and A. Takahashi, "Optical transfer function of concave grating spectrometer based on wave optical method," Jpn. J. Appl. Phys. 9, 1509–1516 (1970).

Mem. Def. Acad. Math. Phys. Chem. Eng. Yokosuka, Jpn. (1)

T. Katayama and A. Takahashi, "Optical transfer function for concave grating spectrometer," Mem. Def. Acad. Math. Phys. Chem. Eng. Yokosuka, Jpn. 7, 1055–1069 (1967).

Opt. Acta (2)

W. H. Steel, "The defocused image of sinusoidal gratings," Opt. Acta 3, 65–74, (1956).

A. Lohmann, "Contrast transfer in the grating spectrograph," Opt. Acta 6, 175–185 (1959).

Radio Image Inform. (1)

K. Kozima and H. Kanamori, "Measurement of optical transfer functions of spectroscopic systems (II)," Radio Image Inform. 6, 133–138 (1976) (in Japanese).

Other (2)

K. Murata, "Instruments for the measuring of optical transfer functions," in Progress in Optics V, E. Wolf, ed. (North-Holland, Amsterdam, 1965), pp. 199–245.

H. Kanamori and K. Kozima,"Measurement of optical transfer functions and correction of images in spectroscopic systems" in Applications of Holography and Optical Data Processing, E. Marom, A. A. Friesem, and E. Wiener-Avnear, eds. (Pergamon, Oxford, 1977), pp. 635–640.

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