Abstract

The least-squares curve fitting procedure of experimental data is described for heterodyne detection. Two independent methods, the Maximum Likelihood method of Fisher and SIMPLEX, have been tried. The relative merits and limitations are discussed in detail.

Method of Least Squares and Curve Fitting

H. S. Uhler
J. Opt. Soc. Am. 7(11) 1043-1066 (1923)

Maximum-likelihood curve-fitting scheme for experiments with pulsed lasers subject to intensity fluctuations

Thomas Metz, Joachim Walewski, and Clemens F. Kaminski
Appl. Opt. 42(9) 1551-1563 (2003)

Global approach for fitting 2D interferometric data

Luigi Bruno
Opt. Express 15(8) 4835-4847 (2007)

Fitting Refractive Index Data by Least Squares

Loyd E. Sutton and Orestes N. Stavroudis
J. Opt. Soc. Am. 51(8) 901-905 (1961)

Accurate, nondifferential, curve-fitted, self-referenced optical rotation polarimeter

Doron Goldberg and Zeev Weissman
Appl. Opt. 58(36) 9815-9822 (2019)