M. Golombok et al., DROPLET DIAMETER AND THE INTERFERENCE-FRINGES BETWEEN REFLECTED AND REFRACTED LIGHT, Journal of physics. D, Applied physics (Print), 31(18), 1998, pp. 59-62
The geometric optics model of light scattering from droplets is based
on the interference of the reflected and refracted light. Although the
relationships are regularly quoted, we have found that the assumption
s in the underlying derivations are incorrect, In this rapid communica
tion, we derive the correct optical path difference between reflected
and refracted beams scattered from a droplet. Furthermore, we show tha
t the standard form used for the scattering factor relating the fringe
separation to the droplet diameter is wrong-we derive the correct ana
lytical result, which leads to a correction in droplet-size calculatio
ns based on optical measurements.