Fast exact scalar propagation for an in-line holographic microscopy on the diffraction limit

Abstract

In lensless digital in-line holographic microscopy, currently applied fast reconstruction techniques use approximations limiting the usable NA for optical resolution. The computational effort for an exact scalar reconstruction with straightforward algorithms depends on the relation between the desired resolution and the given pixel pitch of the detector. So there is a trade-off between achievable image resolution and required computation time. We present an exact reconstruction algorithm that guaranties optimum resolution with affordable computation time. Experimental results show a realized NA of at least 0.62. A 1 megapixel hologram was reconstructed in about 1.5 s.

On-Chip Biomedical Imaging

“…Recently Kanka et al also reported another reconstruction scheme which solved the aliasing problem of the spherical reference wave, enabling the use of the more rigorous angular spectrum method [31]. A computationally more efficient version of this algorithm [32] was recently demonstrated to reconstruct holograms with an NA of ~0.8. As an example, using a modulated laser with reduced coherence length can resolve a cluster of e.g., 816 nm microbeads (see Fig.…”

Reconstru ction of Holographic Microscopy Images Based on Matching Pursuits on A Pair of Domains

“…where  , h, r, and g is the discrete version of the same notation explained before. The usage of FFT in (10) and other version of fast-transforms described in [17] and [18], enables fast reconstruction process. Object image reconstruction that is performed based on equation 10will be refered to as the direct inversion method's image.…”

Superresolved digital in-line holographic microscopy for high-resolution lensless biological imaging

“…And as second one, Kanka et al have recently proposed two approaches to provide high-contrast, high-resolution images in DIHM based on the so-called tile superposition propagation ͑TSP͒ technique. 12,13 Essentially, the TSP method is a fast propagation algorithm involving low-computer-memory consumption for exact scalar wave field propagation. The TSP algorithm divides the recorded ho-logram into a set of tiles having the same size, processes the tiles separately using conventional numerical propagation methods, and adds all the propagated tiles into a single one.…”

“…The TSP algorithm divides the recorded ho-logram into a set of tiles having the same size, processes the tiles separately using conventional numerical propagation methods, and adds all the propagated tiles into a single one. Using this strategy, Kanka et al 12,13 have demonstrated imaging capabilities in DIHM with resolutions corresponding with NA values between 0.6 and 0.7.…”