• Photonics Research
  • Vol. 2, Issue 3, 82 (2014)
Pinghui Wu1,2,*, Chenghua Sui3, and and Wenhua Huang2
Author Affiliations
  • 1State Key Laboratory of Modern Optical Instrumentation, Department of Optical Engineering, Zhejiang University, Hangzhou 310027, China
  • 2Department of Physics, Huzhou University, Huzhou 313000, China
  • 3Department of Applied Physics, Zhejiang University of Technology, Hangzhou 310023, China
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    DOI: 10.1364/PRJ.2.000082 Cite this Article Set citation alerts
    Pinghui Wu, Chenghua Sui, and Wenhua Huang, "Theoretical analysis of a quasi-Bessel beam for laser ablation," Photonics Res. 2, 82 (2014) Copy Citation Text show less

    Abstract

    A quasi-Bessel beam (QBB) is suitable for laser ablation because it possesses a micrometer-sized focal spot and long depth of focus simultaneously. In this paper, the characterizations of QBBs formed by the ideal axicon and oblate-tip axicon are described. Strong on-axis intensity oscillations occur due to interference between the QBB and the refracted beam by the oblate tip. Using the axicon for laser ablation was theoretically investigated. Simple analytical formulas can be used to predict the required laser parameters, including the laser pulse energy, the generated fluence distributions, and the beam diameters.
    I(ρ,w)=I0πβw2{[(F1(ρ/w)+F2(ρ/w))J0(ρβ)]2+[(F1(ρ/w)F2(ρ/w))J1(ρβ)]2},(1)

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    F1(ρ/w)=(z0+ρ/w)1/2exp[(z0+ρ/w)2],(2)

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    F2(ρ/w)=(z0ρ/w)1/2exp[(z0ρ/w)2]H(z0ρ/w),(3)

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    H=1forz0ρ/w,(4)

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    H=0forz0<ρ/w.(5)

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    F(ρ)=εI(ρ).(6)

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    2π0ρF(ρ)dρ=2πε0ρI(ρ)dρ=Q,(7)

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    F(ρ,w)=Qβw{[(F1(ρ/w)+F2(ρ/w))J0(ρβ)]2+[(F1(ρ/w)F2(ρ/w))J1(ρβ)]2}.(8)

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    Fpeak(z)=4Qβz0wexp(2z02).(9)

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    z=zmax2=w2(n1)α.(10)

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    D1.2λπ(n1)α.(11)

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    E(ρ,z)=2πiλexp(2πziλ)×0E(r0,0)zexp((ρ2+r02)πiλz)J0(2πρr0λz)r0dr0,(12)

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    E(r0,0)=E0exp((r0w)2iφ(r0)).(13)

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    φ(r0)=2π(n1)λd(r0),(14)

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    d(r0)={0.083r02+0.023r03,0r01mm0.0380.098r0,r0>1mm.(15)

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