• Photonics Research
  • Vol. 8, Issue 6, 920 (2020)
Xiaoyu Wang, Xin Jin*, and Junqi Li
Author Affiliations
  • Shenzhen International Graduate School, Tsinghua University, Shenzhen 518055, China
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    DOI: 10.1364/PRJ.388522 Cite this Article Set citation alerts
    Xiaoyu Wang, Xin Jin, Junqi Li. Blind position detection for large field-of-view scattering imaging[J]. Photonics Research, 2020, 8(6): 920 Copy Citation Text show less

    Abstract

    Prior-free imaging beyond the memory effect (ME) is critical to seeing through the scattering media. However, methods proposed to exceed the ME range have suffered from the availability of prior information of imaging targets. Here, we propose a blind target position detection for large field-of-view scattering imaging. Only exploiting two captured multi-target near-field speckles at different imaging distances, the unknown number and locations of the isolated imaging targets are blindly reconstructed via the proposed scaling-vector-based detection. Autocorrelations can be calculated for the speckle regions centered by the derived positions via low-cross-talk region allocation strategy. Working with the modified phase retrieval algorithm, the complete scene of the multiple targets exceeding the ME range can be reconstructed without any prior information. The effectiveness of the proposed algorithm is verified by testing on a real scattering imaging system.
    Id1=k=1nId1k=k=1nOk*PSFd1k,(1)

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    PSFd1k(x,y)=C(xuk,yvk)·Sd1k(x,y),(2)

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    Id1(x,y)=k=1nC(xuk,yvk)·(Ok*Sd1k)(x,y).(3)

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    Us(xs,ys)=ej2πd0/λjλd0+δ(u,v)|u=0v=0·ejπλd0[(uxs)2+(vys)2]dudv=ej2πd0/λjλd0·ejπλd0(xs2+ys2),(4)

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    h1(x,y)=ej2πd0/λd1λ2d0xs,ysTM(xs,ys)·ejπλd0(xs2+ys2)·ej2πλd12+(xsx)2+(ysy)2d12+(xsx)2+(ysy)2dxsdysej2π(d0+d1)/λd1λ2d0ejπλd1(x2+y2)xs,ysTM(xs,ys)·ejπλf(xs2+ys2)·ej2π(xλd1xs+yλd1ys)d12+(xsx)2+(ysy)2dxsdys,(5)

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    PSFd1k(x,y)=|h1(x,y)|2=(d1λ2d0)2|xs,ysTM(xs,ys)·ejπλf(xs2+ys2)·ej2π(xλd1xs+yλd1ys)d12+(xsx)2+(ysy)2dxsdys|2.(6)

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    T(d1,d2,m)=PSFd1k(x,y)·PSFd2k(mx,my)dxdy,(7)

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    (xd2,yd2)=argmax(x,y)[Corr(Mx,y,Nxd1,yd1)],(8)

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    PSFd1k(x,y)PSFd2k(mx,my),(9)

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    PSFd1k(x,y)PSFd2k[mx(m1)uk,my(m1)vk],(10)

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    Id1k(Δx+uk,Δy+vk)Id2k(m·Δx+uk,m·Δy+vk),(11)

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    ε={(x,y)|(x,y)(u1,v1)2(x,y)(uk,vk)2(x,y)(u1,v1)β/2,k=2,,n}.(12)

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    C(xu1,yv1)C(xuk,yvk),k=2,,n,  (x,y)ε.(13)

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    IεIε(x,y)=k=1nC(xuk,yvk)2·OkOk(x,y)C(xu1,yv1)2·O1O1(x,y)O1O1(x,y),(14)

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    Xiaoyu Wang, Xin Jin, Junqi Li. Blind position detection for large field-of-view scattering imaging[J]. Photonics Research, 2020, 8(6): 920
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