M. Nenkov et T. Pencheva, CALCULATION OF THIN-FILM OPTICAL-CONSTANTS BY TRANSMITTANCE-SPECTRA FITTING, Journal of the Optical Society of America. A, Optics, image science,and vision., 15(7), 1998, pp. 1852-1857
Our investigation uses the film-interference transmittance spectrum in
the computer calculation of thin-film thickness t and complex refract
ive index n = n - ik. Titanium oxide films of different thicknesses a
re studied, and a new approach to determine the film thickness and opt
ical constants is proposed. This new approach is based on the use of n
umerical optimization methods in transmittance-spectra fitting. Variou
s dispersion equations of the finite-power-series type are used to obt
ain the best fit between transmittance measurements and calculations.
The best-fit results for n(lambda) and k(lambda) are found to agree wi
th dispersion relations that follow from a quantum theory of light abs
orption. (C) 1998 Optical Society of America.