Wj. Deng et Zq. Zhang, AMPLIFICATION AND LOCALIZATION BEHAVIORS OF OBLIQUELY INCIDENT LIGHT IN RANDOMLY LAYERED MEDIA, Physical review. B, Condensed matter, 55(21), 1997, pp. 14230-14235
We have extended the study of light amplification and localization beh
aviors in a randomly layered medium from normal to oblique incidence.
Both p and s polarizations are considered. It is found that the statis
tical properties of the transmission and reflection coefficients depen
d only on L/xi(0)(theta) and xi(0)(theta)/l(g)(theta), independent of
polarization. Here L is the sample size, xi(0)(theta) is the localizat
ion length in the absence of gain, theta is the angle of incidence, an
d l(g)(theta) = l(g) cos theta, where l(g) is the gain length. The loc
alization length in the presence of gain is found to follow 1/xi(theta
) = 1/xi(0)(theta)+1/l(g)(theta). These scaling results reduce the pro
blem from five parameters to two parameters and hold as long as the in
cident angle is below the critical angle of total internal reflection.
A method of measuring xi(0)(theta) using resonant tunneling is propos
ed. Similar results are obtained for the case of dissipation.