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Journal of the Optical Society of America B

Research on third-harmonic generation with position-dependent mass in a quantum well: comment

Emmanuel Paspalakis, Dionisis Stefanatos

Published Mar 4, 2019• 2 citations
Publisher

Abstract

We have discovered errors in the recent paper J. Opt. Soc. Am. B35, 1408 (2018)JOBPDE0740-322410.1364/JOSAB.35.001408. Specifically, we demonstrate that both the electric dipole matrix elements and the third-harmonic generation coefficient presented in the paper have mistakes. We also present the correct results for the electric dipole matrix elements and the third-harmonic generation coefficient.

DOI
10.1364/josab.36.000837

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We have discovered errors in the recent paper J. Opt. Soc. Am. B35, 1408 (2018)JOBPDE0740-322410.1364/JOSAB.35.001408. Specifically, we demonstrate that both the electric dipole matrix elements and the third-harmonic generation coefficient presented in the paper have mistakes. We also present the correct results for the electric dipole matrix elements and the third-harmonic generation coefficient.
In this paper, the energy levels and the wave functions of the Schrödinger equation with position-dependent mass are theoretically deduced, and they are brought into nonlinear optical third-harmonic generation. We find that the peak of the third-harmonic coefficient becomes larger and a blueshift occurs under the condition of variable mass. Moreover, with the increment of mass variable k, the energy interval Eij decreases, which makes the coefficients suffer a redshift, and the absolute value of the matrix elements product |M12M23M34M41| presents different monotonicity, which makes the peak value of the coefficient change regularly.