Smoothing of diffraction ringing with partially coherent light from an LED. (Please wait for picture processing.)

Diffraction pattern for fully coherent uniform illumination of a square aperture after propagation a short distance.

Illumination with an M^2 = 15 LED after 50 time constants shows significant suppression of the diffraction ringing relative to the case of uniform illumination
Illumination with an M^2 = 15 LED after 10,000 time constants and uniform illumination of a square aperture after propagation a short distance. Illumination with an M^2 = 15 LED after 10,000 time constants shows significant suppression of the diffraction ringing relative to the case of uniform illumination
Diffraction pattern for illumination of a square aperture after propagation a short distance.

Illumination with an M^2 = 60 LED after 50 time constants shows very significant suppression of the diffraction ringing relative to the case of uniform illumination
Illumination with an M^2 = 60 LED after 10,000 time constants and uniform illumination of a square aperture after propagation a short distance. Illumination with an M^2 = 60 LED after 10,000 time constants shows significant suppression of the diffraction ringing relative to the case of uniform illumination