The equations below are valid for each DMD in a single chip or multi-chip DMD system.
QILLUMINATION = (QINCIDENT × DMD average thermal absorptivity) (W)
QINCIDENT = ILLDENSITY × ILLAREA (W)
ILLDENSITY = measured illumination optical power density at DMD (W/cm2)
ILLAREA = illumination area on DMD (cm2)
DMD average thermal absorptivity = 0.40
QELECTRICAL = 3.32 W
Array size = 14.6664 mm × 8.6400 mm = 1.267 cm2
ILLDENSITY = 31 W/cm2 (measured)
TCERAMIC = 50.0 °C (measured)
ILLAREA = 1.267 cm2 / (83.7%) = 1.512 cm2
QINCIDENT = 31 W/cm2 × 1.512 cm2 =46.9 W
QARRAY = 3.32 W + (46.9 W × 0.40) = 22.1 W
TARRAY = 50.0 °C + (22.1 W × 0.60 °C/W) = 63.3 °C