Spatial frequency

Optics

Physics

Spatial correlation

Composite material

Interferometry

Spectral density

Deconvolution

Optical transfer function

Scattering

Materials science

Range (aeronautics)

Image resolution

Computer science

Correlation function (quantum field theory)

Point spread function

Telecommunications

Optics Letters

We propose to measure intensity transmission matrices or point-spread-function (PSF) of diffusers via spatial-correlation, with no scanning or interferometric detection required. With the measured PSF, we report optical imaging based on the memory effect that allows tracking of moving objects through a scattering medium. Our technique enlarges the limited effective range of traditional imaging techniques based on the memory effect, and substitutes time-consuming iterative algorithms by a fast cross-correlation deconvolution method to greatly reduce time consumption for image reconstruction.

Imaging through scattering layers exceeding memory effect range with spatial-correlation-achieved point-spread-function