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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 72, Iss. 3 — Mar. 1, 1982
  • pp: 386–391

Maximum-likelihood optimization of a Fabry-Perot interferometer for thermospheric temperature and wind measurements

H. Jahn, G. Fellberg, B. Gladitz, and M. Scheele  »View Author Affiliations


JOSA, Vol. 72, Issue 3, pp. 386-391 (1982)
http://dx.doi.org/10.1364/JOSA.72.000386


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Abstract

A method for the optimization of a Fabry-Perot interferometer (FPI) designed for the measurement of Doppler-broadened emission lines is presented. Assuming that the measurement values (counts) are Poisson distributed, the likelihood function is derived. Maximization of the likelihood function yields optimal estimates of temperature <i>T</i>, wind velocity <i>V</i>, and line intensity <i>I</i><sub>0</sub> and is accomplished by an iterative procedure of the Newton type. An optimal FPI design is obtained by a minimization of the calculated estimation errors Δ<i>T</i> and Δ<i>V</i> that represent the measurement quality. The method is appropriate for short-time measurements of weak emission lines, especially in space applications.

© 1982 Optical Society of America

Citation
H. Jahn, G. Fellberg, B. Gladitz, and M. Scheele, "Maximum-likelihood optimization of a Fabry-Perot interferometer for thermospheric temperature and wind measurements," J. Opt. Soc. Am. 72, 386-391 (1982)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-72-3-386


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References

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