• Chinese Optics Letters
  • Vol. 22, Issue 2, 020501 (2024)
Shang Gao1,*, María del Mar Sánchez-López1,2,**, and Ignacio Moreno1,3
Author Affiliations
  • 1Instituto de Bioingeniería, Universidad Miguel Hernández, Elche 03202, Spain
  • 2Departamento de Física Aplicada, Universidad Miguel Hernández, Elche 03202, Spain
  • 3Departamento de Ciencia de Materiales, Óptica y Tec. Electrónica, Universidad Miguel Hernández, Elche 03202, Spain
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    DOI: 10.3788/COL202422.020501 Cite this Article Set citation alerts
    Shang Gao, María del Mar Sánchez-López, Ignacio Moreno, "Experimental implementation of phase triplicator gratings in a spatial light modulator," Chin. Opt. Lett. 22, 020501 (2024) Copy Citation Text show less

    Abstract

    In this work, we compare different methods for implementing a triplicator, a phase grating that generates three equi-intense diffraction orders. The design with optimal efficiency features a continuous phase profile, which cannot be easily reproduced, and is typically affected by quantization. We compare its performance with binary and sinusoidal phase profiles. We also analyze the effect of quantizing the phase levels. Finally, a random approach is adopted to eliminate the additional harmonic orders. In all cases, a liquid-crystal-on-silicon spatial light modulator is employed to experimentally verify and compare the different approaches.
    g(x)=eiφ(x)=m=+cmeim2πx/p,

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    cm=1pp/2+p/2g(x)eim2πx/pdx.

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    η0±1=I0+I1+I1.

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    c0=12(eiφ+1),(4a)

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    cm0=12(eiφ1)sinc(m2),(4b)

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    I0=|c0|2=12(1+cosφ),(5a)

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    I±1=|c±1|2=2π2(1cosφ).(5b)

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    φ(x,a)=π+aπ·cos(2πxp).

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    Jn(x)=12πππei(xsinβnβ)dx.

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    φ(x,a)=π+arctan[a·cos(2πxp)],

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    I0=4π2[K(a2)]2,(9a)

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    I±1=4π2a2[E(a2)K(a2)]2,(9b)

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    g(x)=j=0N1eiφj·rect(xxjΔ),

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    xj=p2·(2j+1N1).

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    cm=1Nsinc(mN)j=0N1eiφjeim2πxj/p,

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    Im=sinc2(mN)N2×{N+jk=0N12cos[φjφk2πm(jk)N]}.

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    Shang Gao, María del Mar Sánchez-López, Ignacio Moreno, "Experimental implementation of phase triplicator gratings in a spatial light modulator," Chin. Opt. Lett. 22, 020501 (2024)
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