He completed his mathematical work just before the time for submission and this allowed him to calculate the intensity of light at every point behind the diffracter using what were later called Fresnel's integrals.
Niya natapos ang kanyang trabaho lang matematiko bago ang oras para pagpapasailalim at ito pinapayagan sa kanya upang kalkulahin ang intensity ng ilaw sa bawat point sa likod ng diffracter gamit ang kung ano ang susunod na tinatawag na Fresnel's integrals.