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Optical angular momentum conversion

in a nanoslit: reply

Philip F. Chimento,1,* Paul F. A. Alkemade,2Gert W.’t Hooft,1,3and Eric R. Eliel1 1Huygens Laboratory, Leiden University, P.O. Box 9504, 2300 RA Leiden, The Netherlands

2Delft University of Technology, Kavli Institute of Nanoscience, Lorentzweg 1, 2628 CJ Delft, The Netherlands 3Philips Research Laboratories, Professor Holstlaan 4, 5656 AA Eindhoven, The Netherlands

*Corresponding author: philip.chimento@gmail.com Received July 11, 2013; accepted July 15, 2013;

posted August 28, 2013 (Doc. ID 193613); published September 26, 2013

We respond to a Comment on our Letter [Opt. Lett.37, 4946 (2012)], in which we reported on the spin-to-orbital optical angular momentum conversion of a circular nanoslit in a thin metal layer. We claimed, in an unfortunately worded sentence, that the conversion efficiency was independent of the slit’s dichroism, which the Comment pointed out was incorrect. We acknowledge this and reiterate our original intention that as long as the dichroism is not too large, then it has little effect on the conversion efficiency in our system. © 2013 Optical Society of America

OCIS codes: (310.6628) Subwavelength structures, nanostructures; (230.7370) Waveguides; (260.1440) Birefringence; (050.1930) Dichroism; (240.6680) Surface plasmons; (050.4865) Optical vortices.

http://dx.doi.org/10.1364/OL.38.003891

We reply to Dr. Brasselet’s Comment on our Letter,

“Optical angular momentum conversion in a nanoslit”

[1]. We regretfully acknowledge upon rereading the

sen-tence in question on p. 3 of our manuscript that states“We

find that the polarization conversion efficiencyη is

inde-pendent of the slit’s dichroism,” that the text gives the

wrong impression.

In hindsight, the text should have read“largely

indepen-dent,” which is more in keeping with our assertion in the

paragraph following that the“optical spin–orbit

conver-sion is a universal property of a circular nanoslit as long

as the local polarization eigenmodes have… similar

damp-ing.” Although the Comment is completely correct, we still

wish to demonstrate that if the dichroismδ does not get

too far away from unity, the efficiency η is still, to a

reasonable experimental approximation, equal to its value

whenδ  1.

Equation (3) in the Comment reduces to

η 12 δ

1  δ2cosΔ; (1)

where Δ represents the birefringent phase retardation.

This expression is equal to Eq. (2) in our original

manuscript, η  sin2Δ∕2, if δ  1. However, if we

takeΔ  π (a half-wave plate) and δ  0.8 as an example,

we get a deviation inη of only 1.2% from its ideal value

whenδ  1; whereas δ deviates from its ideal value by

20%. That is to say, the slit design is very forgiving

when it comes to variations in the slit’s dichroism.

This is also apparent in Fig. 1(a) of the Comment, which

shows the parameter space ofηΔ; δ. If one looks only

at the region δ ⪆ 0.6, the value of η varies considerably

with Δ along the vertical axis of the plot, whereas it

hardly varies at all with the dichroism in the horizontal direction.

Reference

1. P. F. Chimento, P. F. A. Alkemade, G. W.’t Hooft, and E. R. Eliel, Opt. Lett.37, 4946 (2012).

October 1, 2013 / Vol. 38, No. 19 / OPTICS LETTERS 3891

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