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Applied Optics

Applied Optics

APPLICATIONS-CENTERED RESEARCH IN OPTICS

  • Vol. 37, Iss. 14 — May. 10, 1998
  • pp: 3059–3068

Forward Calculation for Interferometers: Method and Validation

Larry M. McMillin, Mitchell D. Goldberg, Hanjun Ding, Joel Susskind, and Chris D. Barnet  »View Author Affiliations


Applied Optics, Vol. 37, Issue 14, pp. 3059-3068 (1998)
http://dx.doi.org/10.1364/AO.37.003059


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Abstract

An approach to approximating the instrument response for an unapodized interferometer is presented. The approach comprises functions that are local enough in frequency space (no more than five wave numbers) that one can use the Planck function at a single frequency to calculate the radiance at a given frequency and atmospheric pressure level, and it is well behaved (transmittances change monotonically from 1.0 to 0.0), so existing transmittance calculation procedures can be used. It is faster than calculating radiances at a high resolution, doing a Fourier transform, and then doing a second transform, and it produces brightness temperatures that agree with exact values to better than the 0.01 K that is due to errors in the approximation. The approach is accurate enough and fast enough to be used for calculating unapodized radiances from an interferometer. It also can be used to calculate transmittances as well as radiances.

© 1998 Optical Society of America

OCIS Codes
(010.1320) Atmospheric and oceanic optics : Atmospheric transmittance
(070.2580) Fourier optics and signal processing : Paraxial wave optics
(120.0280) Instrumentation, measurement, and metrology : Remote sensing and sensors
(120.3180) Instrumentation, measurement, and metrology : Interferometry
(220.1230) Optical design and fabrication : Apodization
(260.3060) Physical optics : Infrared
(260.3160) Physical optics : Interference

Citation
Larry M. McMillin, Mitchell D. Goldberg, Hanjun Ding, Joel Susskind, and Chris D. Barnet, "Forward Calculation for Interferometers: Method and Validation," Appl. Opt. 37, 3059-3068 (1998)
http://www.opticsinfobase.org/ao/abstract.cfm?URI=ao-37-14-3059


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References

  1. L. M. McMillin, L. J. Crone, and T. J. Kleespies, “Atmospheric transmittance of an absorbing gas. 5. Improvements to the OPTRAN approach,” Appl. Opt. 34, 8396–8399 (1995).
  2. L. M. McMillin, L. J. Crone, M. D. Goldberg, and T. J. Kleespies, “Atmospheric transmittance of an absorbing gas. 4. OPTRAN: a computationally fast and accurate transmittance model for absorbing gases with fixed and with variable mixing ratios at variable viewing angles,” Appl. Opt. 34, 6269–6274 (1995).
  3. L. M. McMillin and H. E. Fleming, “Atmospheric transmittance of an absorbing gas: a computationally fast and accurate transmittance model for absorbing gases with constant mixing ratios in inhomogeneous atmospheres,” Appl. Opt. 15, 358–363 (1976).
  4. H. E. Fleming and L. M. McMillin, “Atmospheric transmittance of an absorbing gas. 2. A computationally fast and accurate transmittance model for slant paths at different zenith angles,” Appl. Opt. 16, 1366–1370 (1977).
  5. L. M. McMillin, H. E. Fleming, and M. L. Hill, “Atmospheric transmittance of an absorbing gas. 3. A computationally fast and accurate transmittance model for absorbing gases with variable mixing ratios,” Appl. Opt. 18, 1600–1606 (1979).
  6. M. P. Weinreb and A. C. Neuendorffer, “Method to apply homogeneous-path transmittance models to inhomogeneous atmospheres,” J. Atmos. Sci. 30, 662–666 (1973).
  7. J. Susskind, J. Rosenfield, and D. Rueter, “An accurate radiative transfer model for use in the direct inversion physical inversion of HIRS2 and MSU temperature sounding data,” J. Geophys. Res. 88, 8550–8568 (1983).
  8. R. J. Bell, Introductory Fourier Transform Spectroscopy (Academic, New York, 1972).
  9. U.S. Committee on Extension to the Standard Atmosphere, U.S. Standard Atmosphere and Supplements, 1976 (U.S. Government Printing Office, Washington, D.C., 1976).
  10. R. W. Hamming, Digital Filters, 2nd ed. (Prentice-Hall, Englewood Cliffs, N.J., 1977).
  11. The DDM was developed by J. Susskind, 5 March 1997.

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