Computational image enhancement of multimode fibre-based holographic endo-microscopy: harnessing the muddy modes.

In imaging geometries, which employ wavefront-shaping to control the light transport through a multi-mode optical fibre (MMF), this terminal hair-thin optical component acts as a minimally invasive objective lens, enabling high resolution laser-scanning fluorescence microscopy inside living tissues at depths hardly accessible by any other light-based technique. Even in the most advanced systems, the diffraction-limited foci scanning the object across the focal plane are contaminated by a stray optical signal carrying typically few tens of % of the total optical power. The stray illumination takes the shape of a randomised but reproducible speckle, and is unique for each position of the focus. We experimentally demonstrate that the performance of imaging a fluorescent object can be significantly improved, when resulting images are computationally post-processed, utilising records of intensities of all speckle-contaminated foci used in the imaging procedure. We present two algorithms based on a regularised iterative inversion and regularised direct pseudo-inversion respectively which lead to enhancement of the image contrast and resolution.

Interference probe ptychography for computational amplitude and phase microscopy.

We have developed an approach to Fresnel domain ptychography in which the illumination consists of an interference pattern. This pattern is conveniently created by overlapping two coherent beams at an angle. Only the phase and orientation of the interferometric fringe pattern needs to be scanned to reconstruct a high-fidelity object image, which alleviates the requirements for accurate sample positioning and system stability. As such, the resulting imaging systems can be constructed in an extremely simple and robust way. Object images are reconstructed from recorded Fresnel diffraction data using a modified ptychographical iterative engine. We demonstrate the capabilities of this imaging system by recording images of various biological samples, demonstrating quantitative phase contrast as well as a spatial resolution better than 2.2 µm.

Robustness of Light-Transport Processes to Bending Deformations in Graded-Index Multimode Waveguides.

Light transport through a multimode optical waveguide undergoes changes when subjected to bending deformations. We show that optical waveguides with a perfectly parabolic refractive index profile are almost immune to bending, conserving the structure of propagation-invariant modes. Moreover, we show that changes to the transmission matrix of parabolic-index fibers due to bending can be expressed with only two free parameters, regardless of how complex a particular deformation is. We provide detailed analysis of experimentally measured transmission matrices of a commercially available graded-index fiber as well as a gradient-index rod lens featuring a very faithful parabolic refractive index profile. Although parabolic-index fibers with a sufficiently precise refractive index profile are not within our reach, we show that imaging performance with standard commercially available graded-index fibers is significantly less influenced by bending deformations than step-index types under the same conditions. Our work thus predicts that the availability of ultraprecise parabolic-index fibers will make endoscopic applications with flexible probes feasible and free from extremely elaborate computational challenges.

High-speed multi-wavelength Fresnel diffraction imaging.

We demonstrate a compact lensless microscope which can capture video-rate phase contrast images of moving objects and allows numerical scanning of the focal distance after recording. Using only an RGB-detector and illumination from a single mode fiber, diffraction patterns at three wavelengths are recorded simultaneously, enabling high-speed data collection and reconstruction of phase and amplitude. The technique is used for imaging of a moving test target, beads in a flow cell, and imaging of Caenorhabditis elegans moving in a droplet of liquid.