Fig. 1. The simulation for the evolution of the interference intensity distribution of a tunable UIROF with (a) $l=\pm 1$ and $\unicode[STIX]{x1D6FA}=7.5~\text{Trad}/\text{s}$; (b) $l_{1}=1$, $l_{2}=-3$ and $\unicode[STIX]{x1D6FA}=3.75~\text{Trad}/\text{s}$; (c) $l=\pm 3$ and $\unicode[STIX]{x1D6FA}=7.5~\text{Trad}/\text{s}$.

Fig. 2. (a) The pattern of the tunable UIROF with different $\Vert l_{1}|-|l_{2}\Vert$; (b) the SIC versus $\Vert l_{1}|-|l_{2}\Vert$.

Fig. 3. Setup of the tunable UIROF. BS1 and BS2, beam splitters; L, optical lens; M1–M4, mirrors; MI, asymmetrical Michelson interferometer; P, polarizer; PS, pulse stretcher; QWP, quarter-wave plate; SPG, spiral phase generator; TA, target; TDL, time delay line; VHWP, space-variant half-wave plate.

Fig. 4. The rotating angular velocity versus time shift and pulse width when $l=\pm 1$.

Fig. 5. Setup of single-shot ultrafast imaging for the tunable UIROF by NCOPAs. BS-1–BS-3, beam splitters; CCD-1–CCD-4, charge-coupled devices; COS-1–COS-4, confocal optical systems; M, mirror; NCOPA-1–NCOPA-4, noncollinear optical-parametric amplifiers; OAS, optical attenuation slice; SHG, second-harmonic generator; TDL-1–TDL-4, time delay lines; WS, wavelength separator.

Fig. 6. The instantaneous idler images of the rotating ring lattice by the ultrafast real-time frame NCOPA imaging. (a) $\unicode[STIX]{x1D6FA}=3.95~\text{Trad}/\text{s}$ with the imaging rate of 1.9 Tfps; (b) $\unicode[STIX]{x1D6FA}=11.9~\text{Trad}/\text{s}$ with the imaging rate of 7.5 Tfps; (c) $\unicode[STIX]{x1D6FA}=11.9~\text{Trad}/\text{s}$ with the imaging rate of 15 Tfps.