• Chinese Optics Letters
  • Vol. 16, Issue 3, 031406 (2018)
Manoel P. Araújo1, Stefano De Leo2、*, and Gabriel G. Maia1
Author Affiliations
  • 1Institute of Physics Gleb Wataghin, State University of Campinas, Campinas 13083-872, Brazil
  • 2Department of Applied Mathematics, State University of Campinas, Campinas 13083-250, Brazil
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    DOI: 10.3788/COL201816.031406 Cite this Article Set citation alerts
    Manoel P. Araújo, Stefano De Leo, Gabriel G. Maia. Optimizing power oscillations in an ellipsometric system[J]. Chinese Optics Letters, 2018, 16(3): 031406 Copy Citation Text show less

    Abstract

    Ellipsometry is a powerful and well-established optical technique used in the characterization of materials. It works by combining the components of elliptically polarized light in order to draw information about the optical system. We propose an ellipsometric experimental set-up to study polarization interference in the total internal reflection regime for Gaussian laser beams. The relative phase between orthogonal states can be measured as a power oscillation of the optical beam transmitted through a dielectric block, and the orthogonal components are then mixed by a polarizer. We show under which conditions the plane wave analysis is valid, and when the power oscillation can be optimized to reproduce a full pattern of oscillation and to simulate quarter- and half-wave plates.
    Mα=[cos2αcosαsinαcosαsinαsin2α].(1)

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    E(r)=[Ex(r)Ey(r)],(2)

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    MαE(r)=[Ex(r)cosα+Ey(r)sinα]×[cosαsinα].(3)

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    E(r)=E0eikzζ2(z)exp[x2+y2w02ζ2(z)],(4)

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    EINC(r)=Mπ4E(r)=E(r)[11],(5)

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    ETRA(r)=[ETM(r)ETE(r)].(6)

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    ECAM(r)=MβETRA(r)=[ETM(r)cosβ+ETE(r)sinβ]×[cosβsinβ],(7)

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    θ0<θcri=arcsinn21.(8)

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    BC¯=2tanφ0AB¯(9)

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    Eσ(r)=Tσexp[i(ΦSnell+ΦFresnel[σ])]E(rσ),(10)

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    Tσ=4aσcosθ0cosψ0(aσcosθ0+cosψ0)2(11)

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    ΦFresnel[σ]=4Narctan(aσn2sin2φ01cosφ0),(12)

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    PCAM=[τ2cos2β+sin2β+τsin(2β)cosΔΦFresnel]TTE22,(13)

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    Aβ=TTETTMsin(2β),(14)

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    {Aπ4,Pπ4}={TTETTM,TTE2+TTM24}.(15)

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    Manoel P. Araújo, Stefano De Leo, Gabriel G. Maia. Optimizing power oscillations in an ellipsometric system[J]. Chinese Optics Letters, 2018, 16(3): 031406
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