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Applied Optics

Applied Optics


  • Vol. 38, Iss. 4 — Feb. 1, 1999
  • pp: 660–665

Interferometric measurement of the modulation transfer function of a spectrometer by using spectral modulations

V. Nirmal Kumar and D. Narayana Rao  »View Author Affiliations

Applied Optics, Vol. 38, Issue 4, pp. 660-665 (1999)

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We present our results on measurement of the modulation transfer function (MTF) of a given spectrometer by using the sinusoidally modulated spectrum from a Michelson interferometer with white light. We studied the MTF by varying the periodicity of the spectral fringes produced by the interferometer. Experimental data are fitted to a theoretical model to derive the spectral slit width from the measured MTF of the spectrometer.

© 1999 Optical Society of America

OCIS Codes
(070.4790) Fourier optics and signal processing : Spectrum analysis
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(120.6200) Instrumentation, measurement, and metrology : Spectrometers and spectroscopic instrumentation
(170.4090) Medical optics and biotechnology : Modulation techniques

Original Manuscript: July 1, 1998
Revised Manuscript: October 13, 1998
Published: February 1, 1999

V. Nirmal Kumar and D. Narayana Rao, "Interferometric measurement of the modulation transfer function of a spectrometer by using spectral modulations," Appl. Opt. 38, 660-665 (1999)

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  1. K. Iizuka, Engineering Optics, Vol. 35 in Springer Series in Optical Sciences (Springer-Verlag, Berlin, 1985), Chap. 10.
  2. K. Gotto, S. Morozumi, “Fourier transform formulation of optical imaging applied to the grating mounting,” Appl. Opt. 10, 764–768 (1971). [CrossRef]
  3. H. Kanamori, 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, A. Takashi, “Optical transfer function of concave grating spectrometer based on wave optical method,” Jpn. J. Appl. Phys. 9, 1509–1516 (1970). [CrossRef]
  5. H. Kanamori, K. Kozima, “Measurement of optical transfer functions and correction of images in spectroscopic systems,” in Application of Holography and Optical Data Processing, E. Marom, A. A. Friessen, E. Wiener-Avnear, eds. (Pergamon, New York, 1977), p. 635. [CrossRef]
  6. K. Kozima, H. Kanamori, O. Matsuda, “Direct measurement of optical transfer function of spectroscopic systems,” Jpn. J. Appl. Phys. 17, 1271–1274 (1978). [CrossRef]
  7. V. J. Coates, H. Hausdorff, “Interferometric method of measuring the spectral slit width of spectrometers,” J. Opt. Soc. Am. 45, 425–430 (1955). [CrossRef]
  8. S. Brodersen, “Interferometric frequency calibration of infrared spectrometers,” J. Opt. Soc. Am. 46, 255–258 (1956). [CrossRef]
  9. V. N. Kumar, D. N. Rao, “Determination of the instrument function of a grating spectrometer using white light interferometry,” Appl. Opt. 36, 4535–4539 (1997). [CrossRef] [PubMed]
  10. H. Fujiwara, “Transfer function of spectroscopic systems using a sinusoidally modulated spectrum,” J. Opt. Soc. Am. 71, 238–242 (1981). [CrossRef]
  11. V. N. Kumar, D. N. Rao, “Using interference in the frequency domain for precise determination of thickness and refractive indices of normal dispersive materials,” J. Opt. Soc. Am. B 12, 1559–1563 (1995); V. N. Kumar, D. N. Rao, “A compact interferometric system for simultaneous measurement of refractive index and thickness,” Commun. Instrum. 5, 209–216 (1997). [CrossRef]
  12. L. Mandel, E. Wolf, “Spectral coherence and the concept of cross-spectral purity,” J. Opt. Soc. Am. 66, 529–535 (1976). [CrossRef]
  13. D. S. Goodman, “Basic optical instruments,” in Methods of Experimental Physics, Geometrical and Instrumental Optics, D. Malacara, ed. (Academic, New York, 1988), Vol. 25, p. 204.
  14. D. J. Schroeder, “Diffraction grating instruments,” in Methods of Experimental Physics, N. Carleton, ed. (Academic, New York, 1974). [CrossRef]
  15. F. Kneubuhl, “Diffraction grating spectroscopy,” Appl. Opt. 8, 505–519 (1969). [CrossRef] [PubMed]
  16. V. N. Kumar, “Spectral interferometry: a study of the degree of coherence in the space-frequency domain and the applications,” Ph.D. dissertation (University of Hyderabad, Hyderabad, India, 1997).
  17. J. E. Stewart, “Polarization interferometer for the determination of spectral modulation transfer functions of monochromators,” Appl. Opt. 6, 1523–1525 (1967). [CrossRef] [PubMed]
  18. J. E. Stewart, “Spurious spectral resolution and the spectral transfer function of monochromators,” Appl. Opt. 4, 609–612 (1965). [CrossRef]
  19. K. D. Mielenz, “Spectroscope slit images in partially coherent light,” J. Opt. Soc. Am. 57, 66–74 (1967). [CrossRef]

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