• Chinese Optics Letters
  • Vol. 13, Issue 5, 052101 (2015)
Wangzi Ma1, Dawei Zhang2, Linwei Zhu1, and Jiannong Chen1、*
Author Affiliations
  • 1School of Physics and Optoelectronic Engineering, Ludong University, Yantai 264025, China
  • 2Engineering Research Center of Optical Instruments and Systems, Ministry of Education, Shanghai Key Lab of Modern Optical Systems, School of Optical-Electrical and Computer Engineering, University of Shanghai for Science and Technology, Shanghai 200093, China
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    DOI: 10.3788/COL201513.052101 Cite this Article Set citation alerts
    Wangzi Ma, Dawei Zhang, Linwei Zhu, Jiannong Chen. Super-long longitudinal magnetization needle generated by focusing an azimuthally polarized and phase-modulated beam[J]. Chinese Optics Letters, 2015, 13(5): 052101 Copy Citation Text show less

    Abstract

    Based on the inverse Faraday effect, a super-long longitudinal magnetization needle can be induced by a transversely polarized needle-shaped electric field. This needle-shaped electric field can be obtained in the focal volume of the objective by focusing an azimuthally polarized vortex beam that is modulated both radially and azimuthally by a specifically designed annular phase filter. The numerical calculation shows that the full widths at half-maximums in longitudinal direction and in transverse direction of the magnetization needle are 28λ and 0.27λ. The corresponding needle aspect ratio of 103 is more than ten times larger than that of the magnetization needle fabricated by electron beam lithography.
    Exa(ϕs,ρs,zs)=iAπ0α02πsinθcos1/2θE0(θ,ϕ)T(θ,ϕ)×eik(zscosθ+ρssinθcos(ϕϕs))(sinϕ)dϕdθ,(1)

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    Eya(ϕs,ρs,zs)=iAπ0α02πsinθcos1/2θE0(θ,ϕ)T(θ,ϕ)×eik(zscosθ+ρssinθcos(ϕϕs))cosϕdϕdθ,(2)

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    Eza(ϕs,ρs,zs)=0,(3)

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    E(θ,ϕ)T(θ,ϕ)={exp[i(ϕ+kΔzcosθ)]2(n1)2πmϕ<(2n1)2πm,exp{i[ϕ+k(Δz)cosθ]}(2n1)2πmϕ2n2πm.(4)

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    E(θ,ϕ)T(θ,ϕ)={exp[i(ϕ+π+kΔzcosθ)]2(n1)2πmϕ<(2n1)2πm,exp{i[ϕ+π+k(Δz)cosθ]}(2n1)2πmϕ2n2πm.(5)

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    M=iγE×E*,(6)

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    M=iγ(ExaEya*EyaExa*)ez,(7)

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    Wangzi Ma, Dawei Zhang, Linwei Zhu, Jiannong Chen. Super-long longitudinal magnetization needle generated by focusing an azimuthally polarized and phase-modulated beam[J]. Chinese Optics Letters, 2015, 13(5): 052101
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