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Resonant Spin Hall Effect of Light in Random Photonic Arrays

by Federico Carlini and Nicolas Cherroret

This Submission thread is now published as

Submission summary

Authors (as registered SciPost users): Nicolas Cherroret
Submission information
Preprint Link: scipost_202210_00059v2  (pdf)
Date accepted: 2023-02-17
Date submitted: 2023-01-16 14:18
Submitted by: Cherroret, Nicolas
Submitted to: SciPost Physics
Ontological classification
Academic field: Physics
  • Atomic, Molecular and Optical Physics - Theory
Approach: Theoretical


It has been recently shown that the coherent component of light propagating in transversally disordered media, the so-called coherent mode, exhibits an optical spin Hall effect (SHE). In non-resonant materials, however, this phenomenon shows up at a spatial scale much larger than the mean free path, making its observation challenging due to the exponential attenuation of the coherent mode. Here, we show that in disordered photonic arrays exhibiting Mie resonances, the SHE on the contrary appears at a scale smaller than the mean free path if one operates in the close vicinity of the lowest transverse-magnetic resonance of the array. In combination with a weak measurement, this gives rise to a giant SHE that should be observable in optically-thin media. Furthermore, we show that by additionally exploiting the cooperative emission of a flash of light following the abrupt extinction of the incoming beam, one can achieve a time-dependent SHE, observable at large optical thickness as well.

Published as SciPost Phys. 14, 104 (2023)

Author comments upon resubmission

Dear Editor,

We would like to resubmit our manuscript entitled "Resonant Spin Hall Effect of Light in Random Photonic Arrays" to SciPost Physics. The manuscript has been previously reviewed by two anonymous referees, who both recommended it for publication. They also asked a number of relevant scientific questions and made a few suggestions to improve the manuscript. We have addressed all these points in separate replies to the referees. Accordingly, we have made a few changes in the manuscript, which are listed below. In the preprint file enclosed, the main changes also appear in red, so that they can easily be identified. Together we our reply to the referees, we hope that these changes make our work publishable in SciPost Physics.

Yours sincerely.

The authors.

List of changes

1- We have extended the paragraphs around Eq. (43) and added a sentence in the second paragraph of the introduction to better discuss the role of the initial polarization.

2- We have added a sentence about the symmetry properties of the disorder in the last paragraph of the conclusion of the paper.

3- The steps and conditions allowing us to derive the self-energy of an ensemble of many cylinders from the t-matrix of an isolated cylinder are now explained in details in the new paragraph around Eqs. (16) and (17). We have also added the new reference [46] to refer the interested reader to the case of correlated or partially disordered media.

4- On page 11, we have slightly modified the footnote 1 to better explain our definition of the mean free path.

5- We have replotted Fig. 4 as a function of \Delta/\Delta_10, and have slightly shortened the discussion of this figure in the paragraph following Eq. (38).

6- We have added a sentence right after Eq. (46) to discuss the sign of \ell_S and \ell_L,

7- We have slightly modified the caption of Fig. 5 and have added a shaded region in the plot of Fig. 5(a).

8- We have added the definition of \bar{G}(k_\perp,z=L) right after Eq. (23).

9- At the end of page 19, we have added a paragraph to qualitatively explain the physical origin of the time scale of the coherent flash.

10- We have reformulated the discussion on multiple scattering in the last paragraph of the conclusion.

11- We have reformulated the beginning of Sec. 3.2, so that the definition of the coherent mode is clearly given.

12- On page 15 we have added the new section 4.5 to discuss the impact of a dispersion of tube radii.

13- On page 20, in the conclusion: we have added a paragraph to discuss a state-of-the-art experimental platform where the SHE should be observed.

14- We have added a new paragraph on pages 8 to better explain our assumption of uniform distribution for the scatterer positions, as well as the new reference [46].

15- At the end of the first paragraph of the introduction, we have added a discussion on spin Hall effect in photonic crystals and metasurfaces, together with the new references [23-29].

16- At the end of the conclusion, we have added a sentence mentioning the quantum spin Hall effect, together with the two new references 52 and 53.

17- On page 14, we have changed ‘ […] which corresponds to the model of non-resonant dielectric media […]’ to  ‘ […] which corresponds to the model of non-resonant, continuous disordered media […]’.

18- In Eq. (51), we have added the explicit expression of the scattering mean free path near the TM resonance.

19. We have slightly amended the introduction of the manuscript.

Reports on this Submission

Anonymous Report 2 on 2023-2-6 (Invited Report)


Authors have addressed my questions and remarks satisfactorily. Therefore, I believe the paper can be published in SciPost.

  • validity: high
  • significance: good
  • originality: high
  • clarity: high
  • formatting: perfect
  • grammar: perfect

Anonymous Report 1 on 2023-2-3 (Invited Report)

  • Cite as: Anonymous, Report on arXiv:scipost_202210_00059v2, delivered 2023-02-03, doi: 10.21468/SciPost.Report.6669


I appreciate the authors' efforts to revise the manuscript in response to my and the other Referee's remarks. I am (almost) happy to recommend publication of the revised manuscript.

Before that, the authors may consider the following (optional) suggestions:

-I understand that a discussion on the role of broken symmetries to induced the SHE goes beyond this work. Still, any reinforment of the manuscript in this sense would be most welcome and of utility for the reader.

-In the newly added discussion on femto-second laser-written waveguide arrays, the authors correctly mention that in these systems the refractive index contrast m is always very close to 1. Since this regime appears to be very different from the one considered in the figures (where m=5 or m=3 was taken), it may be useful to spend some words in discussing how Mie resonances change when m->1 (for instance I expect their linewidth to get much broader and their contrast to be suppressed) and, then, what is the lower bound on |m-1| to observe a SHE effect (for m=1 the effect should completely disappear).

Requested changes

see above for my suggestions

  • validity: high
  • significance: high
  • originality: high
  • clarity: high
  • formatting: perfect
  • grammar: perfect

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