期刊
JOURNAL OF APPLIED PHYSICS
卷 108, 期 11, 页码 -出版社
AMER INST PHYSICS
DOI: 10.1063/1.3512981
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资金
- Leverhulme Trust [F/00 122/AM]
- Innovative Research Call in Explosives and Weapons Detection
The nonparabolic Schrodinger equation for electrons in quantum cascade lasers (QCLs) is a cubic eigenvalue problem (EVP) which cannot be solved directly. While a method for linearizing this cubic EVP has been proposed in principle for quantum dots [Hwang et al., Math. Comput. Modell., 40, 519 (2004)] it was deemed too computationally expensive because of the three-dimensional geometry under consideration. We adapt this linearization approach to the one-dimensional geometry of QCLs, and arrive at a direct and exact solution to the cubic EVP. The method is then compared with the well established shooting method, and it is shown to be more accurate and reliable for calculating the bandstructure of mid-infrared QCLs. (C) 2010 American Institute of Physics. [doi:10.1063/1.3512981]
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