Quasi-three-level model applied to measured spectra of nonlinear absorption and refraction in organic molecules: publisher&#x2019;s note

Trenton R. Ensley; Honghua Hu; Matthew Reichert; Manuel R. Ferdinandus; Davorin Peceli; Joel M. Hales; Joseph W. Perry; Zhong’an Li; Sei-hum Jang; Alex K.-Y. Jen; Seth R. Marder; David J. Hagan; Eric W. Van Stryland

doi:10.1364/JOSAB.33.001007

Abstract

This note corrects author affiliations, errors in one equation, and two equation callouts of J. Opt. Soc. Am. B 33, 780 (2016) [CrossRef] .

Author affiliations in the authors’ published article [1] have been corrected, as shown in the author list above. In addition, in Eq. (B1), one of the terms in the first summation was dropped from the final version. The corrected equation is presented below:

γ_{i j k l} (ω = [ω_{p} + ω_{q} + ω_{r}]; ω_{p}, ω_{q}, ω_{r}) = \frac{1}{ℏ^{3}} [{\sum_{v, n, m}}^{'} {\frac{μ_{g v}^{i} (μ_{v n}^{l} - μ_{g g}^{l}) (μ_{n m}^{k} - μ_{g g}^{k}) μ_{m g}^{j}}{({\bar{ω}}_{v g} - ω_{p} - ω_{q} - ω_{r}) ({\bar{ω}}_{n g} - ω_{q} - ω_{p}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g v}^{j} (μ_{v n}^{k} - μ_{g g}^{k}) (μ_{n m}^{i} - μ_{g g}^{i}) μ_{m g}^{l}}{({\bar{ω}}_{v g}^{*} + ω_{p}) ({\bar{ω}}_{n g}^{*} + ω_{q} + ω_{p}) ({\bar{ω}}_{m g} - ω_{r})} + \frac{μ_{g v}^{l} (μ_{v n}^{i} - μ_{g g}^{i}) (μ_{n m}^{k} - μ_{g g}^{k}) μ_{m g}^{j}}{({\bar{ω}}_{v g}^{*} + ω_{r}) ({\bar{ω}}_{n g}^{*} - ω_{q} - ω_{p}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g v}^{j} (μ_{v n}^{k} - μ_{g g}^{k}) (μ_{n m}^{l} - μ_{g g}^{l}) μ_{m g}^{i}}{({\bar{ω}}_{v g}^{*} + ω_{p}) ({\bar{ω}}_{n g}^{*} + ω_{q} + ω_{p}) ({\bar{ω}}_{m g} + ω_{p} + ω_{q} + ω_{r})}} - {\sum_{n, m}}^{'} {\frac{μ_{g n}^{i} μ_{n g}^{l} μ_{g m}^{k} μ_{m g}^{j}}{({\bar{ω}}_{n g} - ω_{p} - ω_{q} - ω_{r}) ({\bar{ω}}_{n g} - ω_{r}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g n}^{i} μ_{n g}^{l} μ_{g m}^{k} μ_{m g}^{j}}{({\bar{ω}}_{m g}^{*} + ω_{q}) ({\bar{ω}}_{n g} - ω_{r}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g n}^{l} μ_{n g}^{i} μ_{g m}^{j} μ_{m g}^{k}}{({\bar{ω}}_{n g}^{*} + ω_{r}) ({\bar{ω}}_{m g}^{*} + ω_{p}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g n}^{l} μ_{n g}^{i} μ_{g m}^{j} μ_{m g}^{k}}{({\bar{ω}}_{n g}^{*} + ω_{r}) ({\bar{ω}}_{m g}^{*} + ω_{p}) ({\bar{ω}}_{n g}^{*} + ω_{p} + ω_{q} + ω_{r})}}]

Also, in Appendix D, two equation callouts were incorrect in the published version. The statement beginning with “Thus, we can write Eqs. (12)–(15) in esu” should be, “Thus, we can write Eqs. (D12)–(D15) in esu.” The article [1] was corrected on 13 April 2016.

REFERENCE

1. T. R. Ensley, H. Hu, M. Reichert, M. R. Ferdinandus, D. Peceli, J. M. Hales, J. W. Perry, Z. Li, S.-H. Jang, A. K.-Y. Jen, S. R. Marder, D. J. Hagan, and E. W. Van Stryland, “Quasi-three-level model applied to measured spectra of nonlinear absorption and refraction in organic molecules,” J. Opt. Soc. Am. B 33, 780–796 (2016). [CrossRef]

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Equations (1)

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γ_{i j k l} (ω = [ω_{p} + ω_{q} + ω_{r}]; ω_{p}, ω_{q}, ω_{r}) = \frac{1}{ℏ^{3}} [{\sum_{v, n, m}}^{'} {\frac{μ_{g v}^{i} (μ_{v n}^{l} - μ_{g g}^{l}) (μ_{n m}^{k} - μ_{g g}^{k}) μ_{m g}^{j}}{({\bar{ω}}_{v g} - ω_{p} - ω_{q} - ω_{r}) ({\bar{ω}}_{n g} - ω_{q} - ω_{p}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g v}^{j} (μ_{v n}^{k} - μ_{g g}^{k}) (μ_{n m}^{i} - μ_{g g}^{i}) μ_{m g}^{l}}{({\bar{ω}}_{v g}^{*} + ω_{p}) ({\bar{ω}}_{n g}^{*} + ω_{q} + ω_{p}) ({\bar{ω}}_{m g} - ω_{r})} + \frac{μ_{g v}^{l} (μ_{v n}^{i} - μ_{g g}^{i}) (μ_{n m}^{k} - μ_{g g}^{k}) μ_{m g}^{j}}{({\bar{ω}}_{v g}^{*} + ω_{r}) ({\bar{ω}}_{n g}^{*} - ω_{q} - ω_{p}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g v}^{j} (μ_{v n}^{k} - μ_{g g}^{k}) (μ_{n m}^{l} - μ_{g g}^{l}) μ_{m g}^{i}}{({\bar{ω}}_{v g}^{*} + ω_{p}) ({\bar{ω}}_{n g}^{*} + ω_{q} + ω_{p}) ({\bar{ω}}_{m g} + ω_{p} + ω_{q} + ω_{r})}} - {\sum_{n, m}}^{'} {\frac{μ_{g n}^{i} μ_{n g}^{l} μ_{g m}^{k} μ_{m g}^{j}}{({\bar{ω}}_{n g} - ω_{p} - ω_{q} - ω_{r}) ({\bar{ω}}_{n g} - ω_{r}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g n}^{i} μ_{n g}^{l} μ_{g m}^{k} μ_{m g}^{j}}{({\bar{ω}}_{m g}^{*} + ω_{q}) ({\bar{ω}}_{n g} - ω_{r}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g n}^{l} μ_{n g}^{i} μ_{g m}^{j} μ_{m g}^{k}}{({\bar{ω}}_{n g}^{*} + ω_{r}) ({\bar{ω}}_{m g}^{*} + ω_{p}) ({\bar{ω}}_{m g} - ω_{p})} + \frac{μ_{g n}^{l} μ_{n g}^{i} μ_{g m}^{j} μ_{m g}^{k}}{({\bar{ω}}_{n g}^{*} + ω_{r}) ({\bar{ω}}_{m g}^{*} + ω_{p}) ({\bar{ω}}_{n g}^{*} + ω_{p} + ω_{q} + ω_{r})}}]

Quasi-three-level model applied to measured spectra of nonlinear absorption and refraction in organic molecules: publisher’s note

Abstract

REFERENCE

Cited By

Equations (1)

Journal of the Optical Society of America B