. Structured Illumination microscopy on the other hand introduces a resolution improvement of factor 2 by use of the principle of moiré fringes. Here, we show that for linear low-intensity excitation and linear optical detection the simultaneous use of both techniques leads to an in theory unlimited resolution power with the improvement scaling favorably as

m + \sqrt{m}

in dependence of the correlation order

m

. Hence, yielding this technique to be of interest in microscopy for imaging a variety of samples including biological ones. We present the underlying theory and simulations demonstrating the highly increased spatial superresolution, and point out requirements for an experimental implementation.

DOI: 10.1364/optica.4.000580

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m

creates an effective PSF with FWHM shrunk by the factor

\sqrt{m}

m + \sqrt{m}

in dependence of the correlation order

m