  Compared with conventional grating-based spectrometers, reconstructive
spectrometers based on spectrally engineered filtering have the advantage of
miniaturization because of the less demand for dispersive optics and free
propagation space. However, available reconstructive spectrometers fail to
balance the performance on operational bandwidth, spectral diversity and
angular stability. In this work, we proposed a compact silicon metasurfaces
based spectrometer/camera. After angle integration, the spectral response of
the system is robust to angle/aperture within a wide working bandwidth from
400nm to 800nm. It is experimentally demonstrated that the proposed method
could maintain the spectral consistency from F/1.8 to F/4 (The corresponding
angle of incident light ranges from 7{\deg} to 16{\deg}) and the incident
hyperspectral signal could be accurately reconstructed with a fidelity
exceeding 99%. Additionally, a spectral imaging system with 400x400 pixels is
also established in this work. The accurate reconstructed hyperspectral image
indicates that the proposed aperture-robust spectrometer has the potential to
be extended as a high-resolution broadband hyperspectral camera.
