An analytic model of the optical behaviour of laterally light emitting thin
film structures is developed. It is employed to calculate the outcoupled l
ight of a pixel used in light emitting dot matrix displays such as laterall
y emitting thin film electroluminescent displays (LETFEL) with micromirrors
. Consequently, one can identify the optimum pixel geometry. Here, the opti
cal behaviour of the circular, square and hexagonal pixel geometry is model
led. The presented closed form solutions are based on a ray optics approxim
ation whereby the absorption of the light within the light generating mediu
m (phosphor material) and the transmission behaviour of the phosphor-air in
terface is taken into account, as well as the micromirror width. These solu
tions, however, neglect back reflected light. The effect of this neglect is
investigated for square pixels by taking into account the first reflection
. The model is applied to a typical LETFEL display with ZnS material doped
with Mn. An optimal pixel diameter of 35 mum is estimated for that particul
ar type of display.