• Photonics Research
  • Vol. 5, Issue 4, 372 (2017)
Suqin Nan, Yanfeng Bai*, Xiaohui Shi, Qian Shen, Lijie Qu, Hengxing Li, and Xiquan Fu
Author Affiliations
  • College of Computer Science and Electronic Engineering, Hunan University, Changsha 410082, China
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    DOI: 10.1364/PRJ.5.000372 Cite this Article Set citation alerts
    Suqin Nan, Yanfeng Bai, Xiaohui Shi, Qian Shen, Lijie Qu, Hengxing Li, Xiquan Fu. Experimental investigation of ghost imaging of reflective objects with different surface roughness[J]. Photonics Research, 2017, 5(4): 372 Copy Citation Text show less

    Abstract

    We present an experimental demonstration of ghost imaging of reflective objects with different surface roughness. The influence of the surface roughness, the transverse size of the test detector, and the reflective angle on the signal-to-noise ratio (SNR) is analyzed by measuring the second-order correlation of the light field based on classical statistical optics. It is shown that the SNR decreases with an increment of the surface roughness and the detector’s transverse size or a decrease of the reflective angle. Additionally, the comparative studies between the rough object and the smooth one under the same conditions are also discussed.
    G(xr,xt)=|E*(u1)E(u2)hr(u1,xr)ht*(u2,xt)du1du2|2,(1)

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    E*(u1)E(u2)=exp(u12+u222a2)δ(u1u2),(2)

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    hr(u1,xr)exp[jπλz0(xru1)2].(3)

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    ht(u2,xt)dξR(ξ)exp[jϕ(ξ)]×exp[jπλz1(ξcos  θiu2)2]×exp[jπλf(1z3z2)ξ2cos2θo2jπλfξxtcos  θo],(4)

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    G(xr,xt)dξ|R(ξ)|2×exp[2α(β0xrβ1ξcos  θi)2α2+(β0β1)2],(5)

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    SNR=G(xr,xt)ΔG¯(xr,xt)=n[a4π2A2/G2(xr)+4πa2A/G(xr)+3]1/2,(6)

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    G(xr)dξdξR(ξ)R*(ξ)exp{σϕ2[1e(ξξ)2/lc2]}×exp{jπ[z1cos2θo+(z2+z3)cos2θi](ξ2ξ2)λz1(z2+z3)}×sinc[a(ξcos  θixr)λz1]sinc[a(ξcos  θixr)λz1]×sinc[Dcos  θo(ξξ)λ(z2+z3)],(7)

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    Suqin Nan, Yanfeng Bai, Xiaohui Shi, Qian Shen, Lijie Qu, Hengxing Li, Xiquan Fu. Experimental investigation of ghost imaging of reflective objects with different surface roughness[J]. Photonics Research, 2017, 5(4): 372
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