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Experimental cancellation of aberrations in intensity correlation in classical optics

A. J. Jesus-Silva, Juarez G. Silva, C. H. Monken, and E. J. S. Fonseca
Phys. Rev. A 97, 013832 – Published 22 January 2018
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  • INTRODUCTION
  • EXPERIMENTAL SETUP
  • THEORY
  • EXPERIMENTAL RESULTS
  • SIMULATION
  • CONCLUSION
  • ACKNOWLEDGMENTS
    • References

    Abstract

    We study the classical correlation function of spatially incoherent beams with a phase aberration in the beam path. On the basis of our experimental measurements and in the optical coherence theory, we show that the effects of phase disturbances, independently of their kind and without need of coordinate inversion, can be canceled out if the same phase is aligned in the signal and reference beam path. These results can be useful for imaging and microscopy through random media.

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    • Received 19 May 2017
    • Revised 26 July 2017

    DOI:https://doi.org/10.1103/PhysRevA.97.013832

    ©2018 American Physical Society

    Physics Subject Headings (PhySH)

    1. Research Areas
    Classical opticsGhost imagingOptical coherence
    Atomic, Molecular & Optical

    Authors & Affiliations

    A. J. Jesus-Silva1, Juarez G. Silva1, C. H. Monken2, and E. J. S. Fonseca1,*

    • 1Instituto de Física, Universidade Federal de Alagoas, Maceió, AL, 57061-970, Brazil
    • 2Departamento de Física, Universidade Federal de Minas Gerais, Caixa Postal 702, Belo Horizonte, MG 30123-970, Brazil

    • *eduardo@fis.ufal.br

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    Issue

    Vol. 97, Iss. 1 — January 2018

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    Images

    • Figure 1
      Figure 1

      Experimental setup: M1−M6 are mirrors, L1−L6 are lenses, BS1−BS4 are beam splitters, RGGD is a rotating ground glass disk, A is a double-slit aperture, SLM is a spatial light modulator, and CCD is a charge-coupled (CCD) camera. Polynomial aberrations of the form ψn(x)=αnxn(n=1,2,3,4) and a random phase are displayed on the SLM. I and NI stand for inverted and noninverted beams, respectively.

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    • Figure 2
      Figure 2

      Detection planes for S and R intensities in Eq. (1).

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    • Figure 3
      Figure 3

      (a–e) Measured high-order normalized (by its sum) intensity correlation profiles for δ=0.06mm for different phase aberrations. Black (squares): nonaberrated curve for the case without aberrations in the SLM. Red circles: aberrated curves with coordinate inversion of the phase of the signal beam. Blue triangles: corrected curves (without coordinate inversion of the phase of the signal beam). (f) Comparison between the correlation with |Ãϕ|2 and without background subtraction Γ.

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    • Figure 4
      Figure 4

      Simulation results of the first-order correlation curves for the noninverted configuration where a complete aberration cancellation is expected, (a) n=2 and (b) n=4; simulation results of the difference between the aberrated and nonaberrated first-order correlation curves varying the coherence length δ for α=0.3mm (c) and α=0.8mm (d).

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