• Photonics Research
  • Vol. 9, Issue 5, 687 (2021)
Alexey V. Gorevoy, Alexander S. Machikhin*, Grigoriy N. Martynov, and Vitold E. Pozhar
Author Affiliations
  • Laboratory of Acousto-optic Spectroscopy, Scientific and Technological Center of Unique Instrumentation, Russian Academy of Sciences, Moscow 117342, Russia
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    DOI: 10.1364/PRJ.417992 Cite this Article Set citation alerts
    Alexey V. Gorevoy, Alexander S. Machikhin, Grigoriy N. Martynov, Vitold E. Pozhar. Spatiospectral transformation of noncollimated light beams diffracted by ultrasound in birefringent crystals[J]. Photonics Research, 2021, 9(5): 687 Copy Citation Text show less

    Abstract

    Spatiospectral structure of wave phase matching in birefringent crystals has a strong dependence on the geometry of the acousto-optic interaction and incident light spectrum. This dependence defines details of light beam profile transformation. It is especially important for imaging applications related to a large angular aperture and a wide spectral bandwidth of the incident light. In this paper, we demonstrate accurate three-dimensional plotting of a light transmission pattern without small birefringence approximation. The rather complicated shape of the phase-matching locus in the spatiospectral domain inevitably leads to residual spatially nonuniform chromatic aberrations in the spectral image. Theoretical consideration and computational modeling are confirmed by the experiments on Bragg diffraction in paratellurite crystal. The results are especially important for the development of acousto-optical imaging devices and laser beam shaping technologies.
    ωd=ωi±f,(1a)

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    kd=ki±q,(1b)

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    Ud(kd)=+Ui(ki)A(q)δ(kdkiq)dkidq=+Ui(ki)A(kdki)dki,

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    q(f,eq)=(2π/Λ)eq=[2πf/V(eq)]eq,(3a)

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    ki(λi0,eki)=(2π/λi)eki=[2πni(λi0,eki)/λi0]eki,(3b)

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    kd(λd0,ekd)=(2π/λd)ekd=[2πnd(λd0,ekd)/λd0]ekd,(3c)

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    fs=V(eqs)no(λs)[ξsAsξs2(As21)+1]/λs,

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    ξ(λ0,eki)=ne(λ0)/no2(λ0)cos2θi+ne2(λ0)sin2θi,

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    kd=ki±qs+Δk.

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    ekdm(λ0,eki)=argminekd|Δk(λ0,eki,ekd)|,

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    Δkm(λ0,eki)=Δk(λ0,eki,ekdm),

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    T(λ0,eki)=(ΓL)2sinc2[LΓ2+(|Δkm|/2)2],

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    ekdm=(ξaeki+ηaeqs)/(1+χ),

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    |Δkm|=2πno(λ0)χ/λ0,

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    χ=(ξaηa)2+2ξaηa(1Aa)1,

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    I(δθd1,δθd2,λMC)=+T(λ0,δθd1,δθd2)L(λ0,λMC)S(λ0)dλ0,

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    Alexey V. Gorevoy, Alexander S. Machikhin, Grigoriy N. Martynov, Vitold E. Pozhar. Spatiospectral transformation of noncollimated light beams diffracted by ultrasound in birefringent crystals[J]. Photonics Research, 2021, 9(5): 687
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