A new method for calibrating rotating element ellipsometers is describ
ed. This procedure is similar in concept to the residual calibration p
rocedure developed by Aspnes (D. E. Aspnes, J. Opt. Soc. Am., 64 (1974
) 812; D. E. Aspnes and A. A. Studna, Appl. Opt., 14 (1975) 220). Howe
ver, instead of using a parabolic approximation to fit the calibration
data, the calibration data are fitted to the exact expressions that m
odel the response of the optical system, using an iterative regression
algorithm. The regression calibration method offers many advantages:
(1) accurate calibration can be obtained on nearly any sample; (2) hig
hly accurate values of the ellipsometric parameters PSI and DELTA are
also extracted from the regression analysis; (3) the quality of the re
gression fit can be used to quantify the accuracy of the optical syste
m. The method may also be easily extended to account for non-ideal ele
ments in the optical system, such as polarization-dependent sensitivit
y in the detector system.