Realistic 3D coherent transfer function inverse filtering of complex fields

Abstract

We present a novel technique for three-dimensional (3D) image processing of complex fields. It consists in inverting the coherent image formation by filtering the complex spectrum with a realistic 3D coherent transfer function (CTF) of a high-NA digital holographic microscope. By combining scattering theory and signal processing, the method is demonstrated to yield the reconstruction of a scattering object field. Experimental reconstructions in phase and amplitude are presented under non-design imaging conditions. The suggested technique is best suited for an implementation in high-resolution diffraction tomography based on sample or illumination rotation.

Super-resolution Phase Tomography

“…Resolutions better than 100 nm have been achieved recently by pushing the synthetic NA to its maximum value. This development corresponds nearly to a full 2π DHM [4], [5]. As an illustration of the resolution improvement achieved with the synthesized aperture approach, Fig.…”

“…Before being in position to synthesize fully the aperture, 3D deconvolution of the complex field reconstructed from the measured hologram must be achieved. A method to derive experimentally and to model the coherent transfer function (CTF) has been developed and described in [2] and [4]. The approach of complex deconvolution offers the advantage of directly correcting for phase aberrations within the CTF spatial frequency domain.…”

Holographic Microscopy Techniques for Multifocus Phase Imaging of Living Cells

“…The results further demonstrate that the presented DHM concepts can be utilized for investigations on dynamic cell morphology changes and for the quantitative analysis of cellular reactions on toxin treatment. In addition, recently developed novel algorithms for the deconvolution of the holographically retrieved wave fields [91,92] and the corresponding quantitative phase images [93] prospect a further improvement in the spatial resolution. Future prospects include the use of DHM for multimodal imaging [87], 3D cell tracking in a 3D environment, further analysis of the quantitative phase images for light scattering (see Ref.…”

Determination of the transfer function for optical surface topography measuring instruments—a review

“…A number of solutions have been proposed in this vein, with Schrader et al, for example, using 80 nm diameter colloidal gold particles immersed in immersion oil [143] (although phase was not measured by the authors). Cotte et al use a 75 nm diameter nano-hole created via focused ion beam milling [144]. As with the measurements of the intensity PSF, the finite size of these sources will play a role in accurate determination of the OTF.…”