Jones calculus modeling and analysis of the thermal distortion in a Ti:sapphire laser amplifier: erratum

Seryeyohan Cho; Jihoon Jeong; Tae Jun Yu

doi:10.1364/OE.26.020850

Abstract

Equations 41–44 in our paper [Opt. Express 26, 14362 (2016)] contain errors. We correct the equations in this erratum.

Correction

We have recognized that a term, (2iΔk_t)², had been missed in Eq. 41 of Ref. [1], which should be

Δ K^{2} = \frac{1}{4} [{(g_{x} - g_{y} + 2 i Δ k_{c})}^{2} + {(2 i Δ k_{t})}^{2} - 2 (g_{x} - g_{y} + 2 i Δ k_{c}) (2 i Δ k_{t}) cos (2 α) .]

This error does not affect the results of Ref. [1] because we used the correct equations, and perhaps we missed it by mistake during the writing out the paper. However, it affects the eqs. 42–44 in Appendix C of Ref. [1]. The eq. 42 of Ref. [1] should be

E_{x}^{Sappa} = E_{o} e^{(g_{x} + g_{y}) z / 4} {cosh (Δ K z / 2) + \frac{(g_{x} - g_{y} + 2 i Δ k_{c}) + Δ k_{t} cos (2 α)}{2 Δ K} sinh (Δ K z / 2)},

the eq. 43 of Ref. [1] should be

E_{y}^{Sappa} = e^{(g_{x} + g_{y}) z / 4} \frac{Δ k_{t} sin (2 α)}{i Δ K} sinh (Δ K z / 2),

and the eq. 44 of Ref. [1] should be

E_{y}^{Sappa} = e^{(g_{x} + g_{y}) z / 4} \frac{2 Δ k_{t} sin (2 α)}{i (g_{x} - g_{y} + 2 i Δ k_{c})} sinh (\frac{g_{x} - g_{y} + 2 i Δ k_{c}}{4} z) .

Funding

Korea Evaluation Institute of Industrial Technology (Program 10048964).

References and links

1. S. Cho, J. Jeong, and T. J. Yu, “Jones calculus modeling and analysis of the thermal distortion in a Ti:sapphire laser amplifier,” Opt. Express 24(13), 14362–14373 (2016). [CrossRef] [PubMed]

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Equations (4)

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Δ K^{2} = \frac{1}{4} [{(g_{x} - g_{y} + 2 i Δ k_{c})}^{2} + {(2 i Δ k_{t})}^{2} - 2 (g_{x} - g_{y} + 2 i Δ k_{c}) (2 i Δ k_{t}) cos (2 α) .]

E_{x}^{Sappa} = E_{o} e^{(g_{x} + g_{y}) z / 4} {cosh (Δ K z / 2) + \frac{(g_{x} - g_{y} + 2 i Δ k_{c}) + Δ k_{t} cos (2 α)}{2 Δ K} sinh (Δ K z / 2)},

E_{y}^{Sappa} = e^{(g_{x} + g_{y}) z / 4} \frac{Δ k_{t} sin (2 α)}{i Δ K} sinh (Δ K z / 2),

E_{y}^{Sappa} = e^{(g_{x} + g_{y}) z / 4} \frac{2 Δ k_{t} sin (2 α)}{i (g_{x} - g_{y} + 2 i Δ k_{c})} sinh (\frac{g_{x} - g_{y} + 2 i Δ k_{c}}{4} z) .