Optimization of intersubband resonant second-order susceptibility in asymmetric graded AlxGa1-xAs quantum wells using supersymmetric quantum mechanics

Tomic, S; Milanović, V; Ikonić, Z

Abstract

A systematic procedure is proposed for the design of ternary alloys based quantum-well structures optimized for double-resonance second-harmonic generation. The method relies on the supersymmetric quantum mechanics as derived here for the case of position-dependent effective mass. Starting from a symmetric, truncated quasiparabolic potential, itself lacking any second-order nonlinearity, we generate a family of asymmetric potentials, fully isospectral with the starting potential, and choose the one which maximizes the product of transition matrix elements relevant for the second-order nonlinearity. Realization of the optimized potential (in an approximate manner) by grading the ternary alloy AlxGa1-xAs is then described. The best value of nonlinear susceptibility obtained exceeds those reported in the literature.

Citation

Tomic, S., Milanović, V., & Ikonić, Z. (1997). Optimization of intersubband resonant second-order susceptibility in asymmetric graded AlxGa1-xAs quantum wells using supersymmetric quantum mechanics. Physical Review B (Condensed Matter), 56(3), 1033-1036. https://doi.org/10.1103/PhysRevB.56.1033

• Journal Article Type: Article
• Publication Date: Jan 1, 1997
• Deposit Date: Nov 7, 2011
• Journal: Physical Review B
• Print ISSN: 0163-1829
• Publisher: American Physical Society
• Peer Reviewed: Peer Reviewed
• Volume: 56
• Issue: 3
• Pages: 1033-1036
• DOI: https://doi.org/10.1103/PhysRevB.56.1033
• Publisher URL: http://dx.doi.org/10.1103/PhysRevB.56.1033