A two-dimensional model composed of a synthesis of the Leslie-Ericksen
continuum theory of nematics and the Euler-Lagrange equation for surf
ace director motion is used to study the magnetic-induced director reo
rientation dynamics confined in spherical bipolar droplets with viscoe
lastic surfaces. The magnetic field is restricted to the droplet axis
of symmetry direction. The numerical results indicate that the surface
viscosity and anchoring strength must be taken into account to descri
be accurately director reorientation dynamics in droplets. In addition
, the numerical results replicate frequently reported experimental obs
ervations on the performance of polymer dispersed liquid crystal films
. These observations include the familiar exponential increase followe
d by saturation in light transmittance as the external applied held in
creases, and the exponential increase (decrease) followed by saturatio
n as time increases in the on (off) stale. Furthermore, this model is
able to predict precisely the relationships between the rise and decay
times and the external applied field strength, and the fact that the
switching field strength is inversely proportional to droplet size.