Errors in single pixel photography emerging from light collection limits by the bucket detector
arxiv(2024)
摘要
In single pixel photography an image is sampled with a programmable optical
element like a digital micromirror array or a spatial light modulator that can
project an orthogonal base. The light reflected or diffracted is collected by a
lens and measured with a photodiode (bucket detector). In this work we
demonstrate that single pixel photography that uses sampling bases with
non-zero off-diagonal elements (i.e. Hadamard), can be susceptible to errors
that emerge from the relative size of the bucket detector area compared with
the spatial spread of the Fourier spectrum of the base element that has the the
highest spatial frequency. Experiments with a spatial light modulator and
simulations using a Hadamard basis show that if the bucket detector area is
smaller than between 50-75% of the maximum area spanned by the projected
spectrum of the measurement basis, the reconstructed photograph will exhibit
cross-talk with the effective phase of the optical system. The phase can be
encoded or errors can be introduced in the optical system to demonstrate this
effect.
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