Large-scale compressive microscopy via diffractive multiplexing across a sensor array

Abstract

Microscopes face a trade-off between spatial resolution, field-of-view, and frame rate -- improving one of these properties typically requires sacrificing the others, due to the limited spatiotemporal throughput of the sensor. To overcome this, we propose a new microscope that achieves snapshot gigapixel-scale imaging with a sensor array and a diffractive optical element (DOE). We improve the spatiotemporal throughput in two ways. First, we capture data with an array of 48 sensors resulting in 48x more pixels than a single sensor. Second, we use point spread function (PSF) engineering and compressive sensing algorithms to fill in the missing information from the gaps surrounding the individual sensors in the array, further increasing the spatiotemporal throughput of the system by an additional >5.4x. The array of sensors is modeled as a single large-format "super-sensor," with erasures corresponding to the gaps between the individual sensors. The array is placed at the output of a (nearly) 4f imaging system, and we design a DOE for the Fourier plane that generates a distributed PSF that encodes information from the entire super-sensor area, including the gaps. We then computationally recover the large-scale image, assuming the object is sparse in some domain. Our calibration-free microscope can achieve ~3 μm resolution over >5.2 cm^2 FOVs at up to 120 fps, culminating in a total spatiotemporal throughput of 25.2 billion pixels per second. We demonstrate the versatility of our microscope in two different modes: structural imaging via darkfield contrast and functional fluorescence imaging of calcium dynamics across dozens of freely moving C. elegans simultaneously.