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Full control of polarization state with a pair of electro-optic modulators for polarization-resolved optical microscopy: erratum

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Abstract

In our previous paper [Appl. Opt. 55, 1082 (2016) [CrossRef]  ], we presented a methodology for full control of a polarization state using a pair of electro-optic modulators. In this erratum, we correct errors in Eqs. (9b) and (9c) in the original paper.

© 2016 Optical Society of America

In the original paper [1], the ellipse shape parameters (a,ψ,χ) of a polarization state were expressed by the parameters for phase retardation (ϵ1,ϵ) and relative transmittance (τ) of electro-optic modulators in Eqs. (9a)–(9c). However, there were trigonometric function errors in Eqs. (9b) and (9c). The correct expressions of the two equations should be

ψ=12arctan(1τ2+(1+τ2)cosϵ1,2τsinϵsinϵ1),
χ=12arccos{(1τ2)+(1+τ2)cosϵ1}2+4τ2sin2ϵsin2ϵ11+τ2+(1τ2)cosϵ1.

This correction does not affect the explanation of the theoretical framework in the main text.

In the sections for experimental results (Section 4) and discussion (Section 5), we sometimes referred to Eqs. (9a)–(9c) for the evaluation of the experimental results. We actually used the correct versions of the equations, as shown above. Thus, we do not need to modify the results and discussion.

REFERENCE

1. J. Kaneshiro, T. M. Watanabe, H. Fujita, and T. Ichimura, “Full control of polarization state with a pair of electro-optic modulators for polarization-resolved optical microscopy,” Appl. Opt. 55, 1082 (2016). [CrossRef]  

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Equations (2)

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ψ = 1 2 arctan ( 1 τ 2 + ( 1 + τ 2 ) cos ϵ 1 , 2 τ sin ϵ sin ϵ 1 ) ,
χ = 1 2 arccos { ( 1 τ 2 ) + ( 1 + τ 2 ) cos ϵ 1 } 2 + 4 τ 2 sin 2 ϵ sin 2 ϵ 1 1 + τ 2 + ( 1 τ 2 ) cos ϵ 1 .
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