• Photonics Research
  • Vol. 7, Issue 10, 1193 (2019)
Junchao Zhou1、2、3, Wenrui Zhang4, Mingzhao Liu4, and Pao Tai Lin1、2、3、*
Author Affiliations
  • 1Department of Electrical and Computer Engineering, Texas A&M University, College Station, Texas 77843, USA
  • 2Department of Materials Science and Engineering, Texas A&M University, College Station, Texas 77843, USA
  • 3Center for Remote Health Technologies and Systems, Texas A&M University, College Station, Texas 77843, USA
  • 4The Center for Functional Nanomaterials, Brookhaven National Laboratory, Upton, New York 11973, USA
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    DOI: 10.1364/PRJ.7.001193 Cite this Article Set citation alerts
    Junchao Zhou, Wenrui Zhang, Mingzhao Liu, Pao Tai Lin. Broadband mid-infrared second harmonic generation using epitaxial polydomain barium titanate thin films[J]. Photonics Research, 2019, 7(10): 1193 Copy Citation Text show less

    Abstract

    The mid-infrared (mid-IR) second-order optical nonlinearity of the barium titanate (BTO) thin films was characterized by second harmonic generation (SHG). The epitaxial BTO thin films were grown on strontium titanate substrates by pulsed-laser deposition. From the azimuthal-dependent polarized SHG measurements, the tensorial optical nonlinear coefficients, dij, and ferroelectric domain fraction ratio, δAY/δAz, were resolved. Strong SHG signals were obtained at the pumping laser wavelength λ between 3.0 and 3.6 μm. The SHG intensity was linearly dependent upon the square of the pumping laser power. The broadband mid-IR optical nonlinearity enables BTO thin films for applications in chip-scale quantum optics and nonlinear integrated photonic circuits.
    Ps=(P1P2P3)=(000000d31d31d330d150d1500000)(E12E22E322E2E32E1E32E1E2).(1)

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    P1Y+=2d15E1E3=0,(2)

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    P2Y+=2d15E2E3=E02d15sin2φ,(3)

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    P3Y+=d31E12+d31E22+d33E32=E02d31sin2φ+E02d33cos2φ.(4)

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    Iy2ωP32=(E02d31sin2φ+E02d33cos2φ)2,(5)

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    Iz2ωP22=(E02d15sin2φ)2.(6)

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    P1Y+=P1Y=P1Z+=P1Z=0,(7)

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    P2Y+=P2Y=P2Z+=P2Z=E02d15sin2φ,(8)

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    P3Y+=P3Y=E02d31sin2φ+E02d33cos2φ,(9)

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    P3Z+=P3Z=E02d31cos2φ+E02d33sin2φ.(10)

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    Py2ω=AY+PyY++AYPyY+(AZ+PyZ++AZPyZ)eiΓ=AY+P3Y+AYP3Y+(AZ+P2Z+AZP2Z)eiΓ=δAYP3Y++δAZP2Z+eiΓ.(11)

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    Iy2ωδAY2(P3Y+)2+δAZ2(P2Z+)2±2δAYδAZP3Y+P2Z+cosΓ=δAY2(d31sin2φ+d33cos2φ)2+δAz2(d15sin2φ)2+2δAYδAZ(d31sin2φ+d33cos2φ)d15sin2φcosΓ.(12)

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    Iy2ω=K1,y(cos2φ+K2,ysin2φ)2+K3,ysin22φ+K4,y(cos2φ+K2,ysin2φ)sin2φ,(13)

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    Iz2ω=K1,z(cos2φ+K2,zsin2φ)2+K3,zsin22φ+K4,z(cos2φ+K2,zsin2φ)sin2φ,(14)

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    cos2Γ=K4,y24K1,yK3,y=K4,z24K1,zK3,z(15)

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    d33d31=K2,z=1K2,y.(16)

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    Junchao Zhou, Wenrui Zhang, Mingzhao Liu, Pao Tai Lin. Broadband mid-infrared second harmonic generation using epitaxial polydomain barium titanate thin films[J]. Photonics Research, 2019, 7(10): 1193
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