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Wavefront shaping makes it possible to form a focus through opaque scatteringmaterials. In some cases, this focus may be scanned over a small distance usingthe optical memory effect. However, in many cases of interest, the opticalmemory effect has a limited range or is even too small to be measured. In suchcases, one often resorts to measuring the full transmission matrix (TM) of thesample to completely control the light transmission. However, this process istime-consuming and may not always be possible. We introduce a new method forfocusing and scanning the focus at any arbitrary position behind the medium bymeasuring only a subset of the transmission matrix, called Sparse FieldFocusing (SFF). With SFF, the scan range is not limited to the memory effectand there is no need to measure the full transmission matrix. Our experimentalresults agree well with our theoretical model. We expect this method will findapplications in imaging through scattering media, especially when the opticalmemory effect range is small.

Scanning a focus through scattering media without using the optical memory effect