Foveated imaging through scattering medium with LG-basis transmission matrix

Abstract

Higher resolution scattering imaging in the case of a fixed field of view (FOV) is highly desirable. Transmission matrix (TM) is a versatile tool for imaging through scattering medium. Conventionally, the input and output basis of TM are all the eigenstates of spatial position, such as the Hadamard basis, resulting in an image with uniform resolution. Therefore, a gigantic TM is demanded for higher resolution scattering imaging with a fixed FOV. The non-uniform spatial distribution of Laguerre-Gaussian (LG) modes results in a high resolution in the foveal centralis. Inspired by this property, we demonstrate a foveated imaging approach that can locally enhance the resolution of an image reconstructed by LG-basis TM. The influence of beam waist, the range of the azimuthal and radial index of LG-basis on the imaging resolution and FOV are discussed. The method described here complements existing foveated imaging approaches and may pave a way for the application of locally resolution enhanced scattering imaging in biomedical photonics.