• Advanced Imaging
  • Vol. 2, Issue 1, 015001 (2025)
Xianglei Liu1,†, Patrick Kilcullen1, Youmin Wang2, Brandon Helfield3, and Jinyang Liang1,*
Author Affiliations
  • 1Laboratory of Applied Computational Imaging, Centre Énergie Matériaux Télécommunications, Institut National de la Recherche Scientifique, Université du Québec, Québec, Canada
  • 2Reality Laboratory, Meta Platforms, Redmond, USA
  • 3Department of Physics, Concordia University, Québec, Canada
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    DOI: 10.3788/AI.2025.50001 Cite this Article Set citation alerts
    Xianglei Liu, Patrick Kilcullen, Youmin Wang, Brandon Helfield, Jinyang Liang, "Ultrahigh-speed schlieren photography via diffraction-gated real-time mapping," Adv. Imaging 2, 015001 (2025) Copy Citation Text show less

    Abstract

    Single-shot ultrahigh-speed mapping photography is essential for analyzing fast dynamic processes across various scientific disciplines. Among available techniques, optical diffraction has recently been implemented as a nanosecond time gate for mapping photography. Despite attractive features in light throughput and cost efficiency, existing systems in this approach can sense only light intensity with limited sequence depth and imaging speed. To overcome these limitations, we develop diffraction-gated real-time ultrahigh-speed mapping schlieren (DRUMS) photography. Using a digital micromirror device as a coded dynamic two-dimensional blazed grating, DRUMS photography can record schlieren images of transient events in real time at an imaging speed of 9.8 million frames per second and a sequence depth of 13 frames. We present the working principle of DRUMS photography in both theoretical derivation and numerical simulation, and we apply DRUMS photography to the single-shot real-time video recording of laser-induced breakdown in water.
    UDMD(x,y,t)=O˜(xλf,yλf,t)[M(x,y,t)A(x,y)]K(x,y).

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    M(x,y,t)=rect(xy2w,x+y2w)exp{i2πxsin[2θb(t)]λ},

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    A(x,y)=comb(xp,yp)+comb(xp12,yp12),

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    K(x,y)=rect(xxkLKE,yLy).

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    UIIP(x,y,t)=O(x,y,t)[M˜(xλf,yλf,t)A˜(xλf,yλf)]K˜(xλf,yλf),

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    UIIP(x,y,t)m=n={1+cos[π(m+n)]}×sinc{w2p{mnpλsin[2θb(t)]}×w2p{m+npλsin[2θb(t)]}}×S(xλfmp,yλfnp,t),

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    S(x,y,t)=O(x,y,t)[sinc(xLKEλf,yLyλf)exp(iπx2xkλf)].

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    IIIP(x,y,t)m,nZmod(m+n,2)=0|S(xλfmp,yλfnp,t)|2×sinc2{w2p{mnpλsin[2θb(t)]}×w2p{m+npλsin[2θb(t)]}}.

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    DFOV=2λfpMobj.

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    mpλsin[2θb(tm)]=0.

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    rDRUMS=mmaxmmintmmaxtmmin=2pλdθbdt.

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    Xianglei Liu, Patrick Kilcullen, Youmin Wang, Brandon Helfield, Jinyang Liang, "Ultrahigh-speed schlieren photography via diffraction-gated real-time mapping," Adv. Imaging 2, 015001 (2025)
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