Fig. 1. Schematic of snapshot spectral ghost imaging with broadband super-Rayleigh speckles. (a) is the object plane; (b) is the first imaging plane; (c) is the virtual speckle plane; (d) is the speckle plane.

Fig. 2. Numerical simulation results for the speckle contrast varied with the system parameters z₁, z₂′, and λ. (a) The simulation results of the speckle contrast varied with the system parameters z₁ and λ. Here, z₂′ = 10.6 mm. (b) The simulation results of the speckle contrast varied with the system parameters z₂′ and λ. Here, z₁ = 60 mm. The solid black line is the theoretical curve based on Eq. (4).

Fig. 3. (a) Simulation speckles of different wavelengths on the detection plane. AP: the amplitude and phase of U_slm (r₀, λ₀) were extracted to the SLM. P: the phase-only of U_slm (r₀, λ₀) was extracted to the SLM. (b) Probability distribution of the normalized intensity of the speckles. (c) Simulation results of the speckle contrast when the dispersion of the lens satisfied Eq. (7) (marked as designed lens), and the lens of focal length f was achromatic (marked as achromatic lens). The theoretical curve, according to Eq. (5), is also represented with the black line. (d) Theoretical curve and simulated curve of the correlation function for speckles generated by two points at the same wavelength and different positions with a distance Δr_o. (e) Theoretical and simulated curves of the correlation function of the speckles generated by two points at the same position and different wavelengths with a gap Δλ.

Fig. 4. (a) Experimental setup of the snapshot spectral ghost imaging with broadband super-Rayleigh speckles. The calibration setup shown in the bottom box was adopted instead of the object in the black box when calibrating. The SCL was a supercontinuum laser. (b) Dispersion curves of lenses used in the experiment.

Fig. 5. (a) Curve of the correlation function of the experimental speckles generated by two points at the same wavelength and different positions with a distance Δr_o. (b) Curve of the correlation function of the experimental speckles generated by two points at the same position and different wavelengths with a gap Δλ. (c) The experimental speckles of snapshot spectral ghost imaging with broadband super-Rayleigh speckles at different wavelengths. (d) The contrast of speckles of the corresponding groups.

Fig. 6. Experimental imaging results with different exposure times, while the sampling rate remained at 40%. The mPSNR and mSSIM are also shown. (a) Exposure time of 50 ms. (b) Exposure time of 10 ms.