Da. Ramsey et Kc. Ludema, THE INFLUENCES OF ROUGHNESS ON FILM THICKNESS MEASUREMENTS BY MUELLERMATRIX ELLIPSOMETRY, Review of scientific instruments, 65(9), 1994, pp. 2874-2881
The accuracy of measurement of the thickness of uniform thin films on
solid substrates by null ellipsometry is severely limited when the sub
strate is rough. It is impossible to separate these two effects experi
mentally with the null ellipsometer, and there is no theoretical basis
or generally used model available to separate these effects. Thus, a
dual rotating-compensator Mueller matrix ellipsometer has been constru
cted to carry out film thickness measurements on rough substrates. Mea
surements were made on a set of specially prepared specimens of 8630 s
teel, roughened by grit blasting with aluminum oxide. Grit sizes and b
lasting pressures were varied to produce 11 different roughness values
ranging from 0.01 to 1.295 mu m R(a), as measured with a stylus trace
r device. Upon each of the 11 roughness groups, films of magnesium flu
oride were overlaid to thicknesses of 89, 180, 254, and 315 nm. One se
t of specimens was left uncoated. Experimental results for film thickn
ess measurements on rough surfaces matched the ideal (for smooth surfa
ces) form well for roughnesses up to 0.13 mu m R(a), at most angles of
incidence. For rougher specimens, significant deviations in results w
ere observed for all but the largest angles of incidence. The nonideal
data were attributed to the cross-polarization effects of surface geo
metry, and apparent depolarization. The resolution of thickness measur
ements was 1 nm for polished specimens, and decreased continuously to
10 nm for the roughest specimens examined.