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Illuminating or imaging samples from a broad angular range is essential in awide variety of computational 3D imaging and resolution-enhancement techniques,such as optical projection tomography (OPT), optical diffraction tomography(ODT), synthetic aperture microscopy, Fourier ptychographic microscopy (FPM),structured illumination microscopy (SIM), photogrammetry, and optical coherencerefraction tomography (OCRT). The wider the angular coverage, the better theresolution enhancement or 3D resolving capabilities. However, achieving suchangular ranges is a practical challenge, especially when approachingplus-or-minus 90 degrees or beyond. Often, researchers resort to expensive,proprietary high numerical aperture (NA) objectives, or to rotating the sampleor source-detector pair, which sacrifices temporal resolution or perturbs thesample. Here, we propose several new strategies for multi-angle imagingapproaching 4pi steradians using concave parabolic or ellipsoidal mirrors andfast, low rotational inertia scanners, such as galvanometers. We derivetheoretically and empirically relations between a variety of system parameters(e.g., NA, wavelength, focal length, telecentricity) and achievable fields ofview (FOVs) and importantly show that intrinsic tilt aberrations do notrestrict FOV for many multi-view imaging applications, contrary to conventionalwisdom. Finally, we present strategies for avoiding spherical aberrations atobliquely illuminated flat boundaries. Our simple designs allow for high-speedmulti-angle imaging for microscopic, mesoscopic, and macroscopic applications.

High-speed multiview imaging approaching 4pi steradians using conic section mirrors: theoretical and practical considerations