Regrettably, we discovered that Eq. (15) in the original manuscript [1] does not converge to zero when circular beam diameter exceeded 3/µ_eff for µ_a > 0.1cm⁻¹, and one has to manually set the parameter C₃ to be zero to achieve the reported accuracy. The inclusion of C₃ term using the original Eq. (15) for µ_a > 0.1cm⁻¹ will results in large error in the calculated fluence rate, e.g. a maximum relative deviation of 55% from the MC simulation was found for µ_a = 0.69 cm⁻¹ and µ_s′ = 11 cm⁻¹.

In this erratum, the expression for Eq. (15) is corrected as below:

All other expressions for calculating light fluence rate in Ref. [1] remain the same. The corresponding Fig. 6 is presented below. Using the corrected Eq. (15), C₃ converges to zero when both the optical properties (µ_a, µ_s′) and beam radius increase. The accuracy of the fluence rate calculated using the corrected Eq. (15) along with Eqs. (11)-(16) from [1] have been tested for the range of optical properties studied in the manuscript and no revision in the text is required.

 

Fig. 6 Fitting results between parameters C₃ and the optical properties (µ_a, µ_s’) for circular beams with radii = 0.5 cm, 0.75 cm, 1 cm and 8 cm and refractive index mismatch, n₂/n₁ = 1.4.

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The general message of the original paper is unaffected.