The amount of optical overfill on the critical area of the window aperture cannot be measured directly. For systems with uniform illumination on the array, the amount is determined using the total measured incident optical power on the DMD, and the ratio of the total optical power on the DMD that is on the defined critical area. The optical model is used to determine the percentage of optical power on the window aperture critical area and estimate the size of the area.
- QAP-ILL = [QINCIDENT × OPAP_ILL_RATIO] ÷ AAP_ILL (W/cm2)
where:
- QAP-ILL = window aperture illumination overfill (W/cm2)
- QINCIDENT = total incident optical power on the DMD (Watts) (measured)
- OPAP_ILL_RATIO = ratio of the optical power on the critical area of the window aperture to the total optical power on the DMD (optical model)
- AAP-ILL = size of the window aperture critical area (cm2) (data sheet)
- OPCA_RATIO = percent of the window aperture critical area with incident optical power (%) (optical model)
Sample calculation:
See the above figure for the length of the critical aperture.
Equation 6. QINCIDENT = 12.1W (measured)
Equation 7. OPAP_ILL_RATIO = 0.312% (optical model)
Equation 8. OVCA_RATIO = 25% (optical model)
Equation 9. Length of the window aperture for critical area = 0.9802cm (data sheet)
Equation 10. Width of critical area = 0.050 cm (data sheet)
Equation 11. AAP-ILL = 0.9802cm × 0.050 cm = 0.04901cm2
Equation 12. QAP-ILL = (12.1W × 0.00312) ÷ (0.04901cm2 × 0.25) = 3.08W/cm2 (W/cm2)