• Photonics Insights
  • Vol. 2, Issue 2, R05 (2023)
Qiannan Jia1、2, Wei Lyu1、2, Wei Yan1、2、*, Weiwei Tang1、2、3、*, Jinsheng Lu4、*, and Min Qiu1、2、*
Author Affiliations
  • 1Key Laboratory of 3D Micro/Nano Fabrication and Characterization of Zhejiang Province, School of Engineering, Westlake University, Hangzhou, China
  • 2Institute of Advanced Technology, Westlake Institute for Advanced Study, Hangzhou, China
  • 3College of Physics and Optoelectronic Engineering, Hangzhou Institute for Advanced Study, University of Chinese Academy of Sciences, Hangzhou, China
  • 4Harvard John A. Paulson School of Engineering and Applied Sciences, Harvard University, Cambridge, United States
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    DOI: 10.3788/PI.2023.R05 Cite this Article Set citation alerts
    Qiannan Jia, Wei Lyu, Wei Yan, Weiwei Tang, Jinsheng Lu, Min Qiu. Optical manipulation: from fluid to solid domains[J]. Photonics Insights, 2023, 2(2): R05 Copy Citation Text show less

    Abstract

    Light carries energy and momentum, laying the physical foundation of optical manipulation that has facilitated advances in myriad scientific disciplines, ranging from biochemistry and robotics to quantum physics. Utilizing the momentum of light, optical tweezers have exemplified elegant light–matter interactions in which mechanical and optical momenta can be interchanged, whose effects are the most pronounced on micro and nano objects in fluid suspensions. In solid domains, the same momentum transfer becomes futile in the face of dramatically increased adhesion force. Effective implementation of optical manipulation should thereupon switch to the “energy” channel by involving auxiliary physical fields, which also coincides with the irresistible trend of enriching actuation mechanisms beyond sole reliance on light-momentum-based optical force. From this perspective, this review covers the developments of optical manipulation in schemes of both momentum and energy transfer, and we have correspondingly selected representative techniques to present. Theoretical analyses are provided at the beginning of this review followed by experimental embodiments, with special emphasis on the contrast between mechanisms and the practical realization of optical manipulation in fluid and solid domains.

    Story Video to the Review Article

    T¯¯emM=(uemcgemcpemMT).

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    uem=12E·D+12H·B,(2.a)

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    gem=1c2E×H,(2.b)

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    pemM=D×B,(2.c)

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    T=12(D·E+B·H)I¯¯DEBH,(2.d)

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    pemA=1c2E×H,

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    T¯¯matM=(ρ0c2+uiρ0cvρ0cvcD×B+1cE×Hρ0vv+φI¯¯),

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    ρ0vt+·ρ0vv=φ·T1c2E×Ht.

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    fem=·T,

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    Fem=Ωsn^·Tds,

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    Ein(r)=j=1,2aj(k)exp(ik·r)ek;jdΩ,(8.a)

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    Esca(r)=j=1,2bj(k)exp(ik·r)ek;jdΩ,

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    Fem=ncSext(k)k2k^dΩncSsca(k)k2k^dΩncPextk^inncPscak^sca.

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    Fem=Fgrad+Fsca+Fpm,

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    Fgrad=14Re(αe)|Ein|2+14Re(αm)|Bin|2,(11.a)

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    Fsca=12Im(αe)Im(Ein*·Ein)12Im(αm)(Bin*·Bin),(11.b)

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    Fpm=k412πμɛRe(αeαmEin×Bin*).(11.c)

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    jemM=r×(D×B),(12.a)

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    M=T×r.(12.b)

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    τem=Ωsn^·Mds,

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    lemM=14ωIm(ɛE*·(r×)E+μH*·(r×)H),(14.a)

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    semM=14ωIm(ɛE*×E+μH*×H).(14.b)

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    E=u(ρ,z)(αLcL+αRcR)exp(ilφ)exp(ikz).

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    σz|αL|2|αR|2.

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    Jem;zM=(l+σz)ɛ|Ein|22ωd3rSem;zM+Lem;zM,(17.a)

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    Sem;zMσzUemωandLem;zMlUemω.

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    MzzL=14ωIm(EyφHx*+EyHx*φ+ExφHy*ExHy*φ),(18.a)

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    MzzS=12ωIm(ExHx*+EyHy*),(18.b)

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    ML=ρdρdφMzzLz^z^=Plωz^,(19.a)

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    MS=ρdρdφMzzSz^=Pσzωz^,(19.b)

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    |τem||Fem|=λ(l+σz)2π,

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    X=(A+D)(B+C)A+B+C+D,(21.a)

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    Y=(A+B)(C+D)A+B+C+D.(21.b)

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    mx¨+βx˙+kx=2Dβξ(t).

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    Sxx(f)=12π2Df2+fc2.

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    12kx2=12kBT.

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    α=TrT0TsT0

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    Fph=4πRKμm2IJ1ρmTmkp,

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    FphπR3Ip6(12pvmR+kpTm),

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    j=cDTTDc,

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    c=cDTDT=cSTT,

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    ××u(r;t)2(1σ)12σ·u(r;t)+2ρ(1+σ)E2u(r;t)t2=αth2(1+σ)12σδT(r;t)+2(1+σ)EFfδ(rr0)x^,

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    kL=ωρ(1σ2)EandvL=Eρ(1σ2).

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    uxf(x,t)=tGel(x,x0;tt)Ff(t)dt,(32.a)

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    Gel(x,x0;tt)tR4Mps=03n=0H(tttsntR).

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    Ff(t)4Mpvxth(t)tR;(33.a)

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    Ff(t)sgn[vxth(t)]Ffs,

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    vs=FfstR4Mp.

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    ux(x0;t)=t(vxth(t)sgn[vxth(t)]vs)H(|vxth(t)|vs)dt,

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    α0=a3(ɛ1)/(ɛ+2),

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    F=(1/4)Re(α(ω))|E|2,

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    ET=kBTTeiZiniSTiiZi2ni,

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    fETP=12Re(((σɛɛσ)·Eσ+iωɛ)E*12|E|2ɛ),

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    J1=3π2rn22k201x3dx(0π|E(r,θ)|2E02sin2θdθ),

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    τ=(1/4)(αα)sin2θ·E2,

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    PTHcpFslideαthvset0/τac,

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    αL=1LdLdT,

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    (Δx(t))2=2Dt,

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    Fmin=4kkBTeffb/ω0Qeff,

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    Qiannan Jia, Wei Lyu, Wei Yan, Weiwei Tang, Jinsheng Lu, Min Qiu. Optical manipulation: from fluid to solid domains[J]. Photonics Insights, 2023, 2(2): R05
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