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 T, wind velocity V, and line intensity I0 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 ΔT and ΔV 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
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)