Matlab model of Heintzmann and Cremer's super resolution technique

The wave nature of light poses certain difficulties on enhancing the quality of resolution past Abbe's limit of about 200 nm for visible light. Extensive research efforts have provided several methodologies to surpass Abbe's limit. One such methodology is a Structured Illumination Method (SIM) outlined by Heintzmann and Cremer. A numerical Matlab model was built to simulate the method. The model uses mathematical methods of Fourier transform to simulate the effects of the filters in the method. Image target with resolution metrics was used in experimentation so it could be seen how the resolution of the resulting image compared to the resolution of the original image. The grating frequency was varied to see how differences in the parameters would affect the resulting images. The mathematical model found that changing the grating frequency affected the resolution of the resulting images. It was found that as the normalized frequency increases between .4 and .6 the resolution range that sees improvement gets smaller. As the frequency increases, some larger groups of lines that were formerly distinguishable became indistinguishable while some smaller groups of lines that were formerly indistinguishable became distinguishable.